Section 1: Whole Numbers TERM 4

Transcription

1 Grade Play! Mathematics Answer Book 0 Section : Whole Numbers TERM Question Place Value and Value: -digit Numbers. Write down the place value of each underlined digit. a) 0 HTh b) T c) Th d) H e) TTh f) 0 U. Write down the value of each underlined digit. a) b) c) 7 d) e) 0 f) a) In the number 7: The value of the digit on the left is 000 times the value of the digit on the right b) In the number 7 7: The value of the digit 7 on the left is 000 times the value of the digit 7 on the right c) In the number : The value of the digit on the left is 00 times the value of the digit on the right d) In the number 7: The value of the digit on the left is times the value of the digit on the right In the number 7 : a) The value of the 7 is b) The value of the is c) The value of the plus the value of the equals d) The value of the minus the value of the equals 00. e) The value of the multiplied by the value of the equals Question Building Numbers. Use the following digits to make the: 0 a) biggest number. 0 b) smallest number. 0. True or False? False 0 The smallest number that can be written with six different digits is 0..* Use the following digits to make the: 0 7 a) biggest odd number. 7 0 must end on the b) smallest even number. 0 7 must end on the Term Section Whole Numbers Copyright Reserved

2 Grade Play! Mathematics Answer Book Question Reading and writing -digit numbers. Complete: a) Three hundred and nine thousand, five hundred and two is written 0 0 Thousands space b) Six hundred and thirty nine thousand, two hundred and forty-one is written. c) Seven hundred and fifty five thousand and sixteen is written 7 0. d) Nine hundred and seventy three thousand, four hundred and eight is written 7 0. e) *One hundred and eleven thousand, one hundred and one is written 0.. Write each of the following numbers in words. a) 0 7: Four hundred and two thousand, eight hundred and seventeen. b) 7 70 : Nine hundred and eighty seven thousand, six hundred and seventy. c) 0 0 : Two hundred and two thousand and twenty two. Question Number Patterns. Fill in the missing numbers in each number pattern. a) 0 ; 0 ; 0 ; 0 7 ; 0 ; 0. Rule: + b) 0, 0, 0,,,. Rule: +0 c) 0, 7 0, 0, 0, 0, 0. Rule: d) 07, 07, 0 07, 7 07, 7 07, Rule: 000 Question Comparing Numbers. Insert >, < or to make true statements. a) 7 < 7 b) 0 < c) < d) + 7. Insert >, < or to make true statements. a) 0 < 00 b) c) 0 00 < d) 7 00 > 70 e) 0 0 < 000 f) 0 < 00 Question Rounding Off. Complete: Number Rounded off to the nearest a) b) c)* 0 * d)* *0 000 Term Section Whole Numbers Copyright Reserved

3 Grade Play! Mathematics Answer Book Section : Addition and Subtraction Question Addition and Subtraction (up to -digit numbers). Complete: Example a) b) c) d) TERM. Complete: Example 7 a) b) 7 c) 7 d) Complete: Subtraction involving zeros Example NB a) b) c) d) Complete: [Mixed questions] a) b) 000 c) 7 d) e) f) Question More than, Less than, Sum and Difference. Complete: a) What is the sum of 7 and b) What number is less than 000? 000 c) How much more is than? d) What number is more than 0 00? e) Calculate the difference between 7 and. 7 7 f) How much must be added to to get? 7.* How much more is five hundred and forty five thousand Rand than three hundred thousand, five hundred Rand? R 000 R00 00 R 00 Term Section Addition and Subtraction Copyright Reserved

4 Grade Play! Mathematics Answer Book Question Problem Solving. Mr Thabo s company has planted trees in a plantation. 000 trees need to be planted in total. How many more trees does Mr Thabo s company still have to plant? 000 trees still to be planted.. Mrs Viljoen travelled 00 km in 0 and km in 0 visiting clients. a) Calculate the total distance travelled by her in 0 and 0. b) How much further did she travel in 0 than in 0? 00 km + km 7 0km 00 km km 0 0km. When Paul bought his second-hand car, the odometer reading was km. Three years later the reading was 0 km. Calculate the difference. How many kilometres did Paul travel during the years? 0 km km km Question Inverse Operations. Use inverse operations to calculate the missing numbers in each. a) [ ] b) [0 7 ] c) + 0 [0 ] d) 70 [ 70 ] e) + 0 [0 ] f) 0 [ 0 ] g) + [ ] h) 7 [ + 7 ].* Use inverse operations to calculate the missing numbers in each. a) + b) c) Question Missing Digits. Fill in the missing digits in each of the following sums. [Use inverse operations, where possible] a) b) c) 7 d)* e) f) 7 g) h)* i)* 7 j)* 7 k)** Term Section Addition and Subtraction Copyright Reserved

5 Grade Play! Mathematics Answer Book Question Adding three numbers. Complete. a) b) + + c) d) e) JNM Publishers have expenses of R 00, R 70 and R7 7 during April, May and June. How much did the company spend altogether during the months? R 00 + R 70 + R7 7 R 07. The population of a large city consists of 0 7 men, women and 0 children. a) How many more women than men live in the city? more women b) What is the total population of the city? people Question 7 Adding and/or subtracting three numbers. Calculate: a) 7 b) c) d) Question Sum and Difference. The difference between two numbers is 7. The smaller number is 0. What is the other number? The other number: 0. The sum of three numbers is. Two of the numbers are and 7. What is the third number? The third number is: 7 Term Section Addition and Subtraction Copyright Reserved

6 Grade Play! Mathematics Answer Book Section : -D Objects Question Identify and Sort -D Objects. Name the -D objects below. A B C D E Not a prism: curved surface TERM Cone (not a pyramid) cube square-based pyramid cylinder triangular prism cone F G H I J triangular prism sphere triangularbased pyramid. Choose the correct word to complete each sentence. rectangular prism hexagonal prism flat circle ends curved square a) A cube has six identical square faces. b) A sphere has a curved surface. c) A prism has identical ends and flat surfaces. d) The base of a cone is a circle.. Complete: a) Which objects in question are prisms? A, D, F, I and J. NB: Prisms have identical ends and flat surfaces. (A cylinder is NOT a prism) b) Which objects in question are pyramids? B and H. NB: Pyramids end on a vertex and have flat surfaces. (A cone is NOT a pyramid) Question Number and Shape of Faces: Part. Complete: a) Which set of shapes (A, B or C) can be used to make a cube? C A: B: C: b) Which set of shapes (A or B) can be used to make rectangular prism C? B A: B: C Term Section -D Objects Copyright Reserved

7 Grade Play! Mathematics Answer Book c) Which set of shapes (A, B or C) can be used to make a cylinder? B A: B: C: A cylinder is made up of circles at each end with a rectangle wrapped around the outside of each.. Complete: a) -D Object Name Number of Faces Shape of Faces cube Square b) rectangular prism squares rectangles c) cylinder circles rectangle Question Number and Shape of Faces: Part. Complete: a) Which set of shapes (A or B) can be used to make a square-based pyramid? A A: B: b) Which set of shapes (A or B) can be used to make a triangular-based pyramid? B (only triangles) A: B:. Complete: -D Object Name Number of Faces Shape of Faces a) square-based pyramid square triangles b) triangularbased pyramid triangles. Name two differences between a square-based pyramid and a triangular-based pyramid.. Square-based pyramid: has a square base and faces.. Triangular -based pyramid: has a triangular base and faces. Term Section -D Objects Copyright Reserved

8 Grade Play! Mathematics Answer Book 7 Question Number and Shape of Faces: Part. Which set of shapes are needed to make a: a) hexagonal prism? B b) triangular prism? C A c) pentagonal prism? A. How many faces does a: B a) triangular prism have? b) pentagonal prism have? 7 c) hexagonal prism have? C. Complete: -D Object Name Number of faces Shape of faces a) triangular prism triangles rectangles b) hexagonal prism hexagons rectangles c) pentagonal prism 7 pentagons rectangles. What is the difference between the -D objects below? vertex A B A is a pyramid (has a vertex). B is a prism (ends on triangles). True or False? a) A cube can be made from squares and/or rectangles. False b) A prism can have a curved surface. False c) A triangular-based pyramid has faces. False - only flat surfaces. it has faces - only identical squares - pentagons and rectangles. d) A pentagonal prism is made up of pentagons and rectangles. False e) A triangular prism and a square-based pyramid both have faces. True f) A pyramid can be classified as a prism. False prisms have two identical end faces i.e. no vertex Term Section -D Objects Copyright Reserved

9 Grade Play! Mathematics Answer Book Question Nets. Which -D object can be made with each of the following nets? a) b) c) cube cylinder hexagonal prism d) e) f) pentagonal prism rectangular prism Square-based pyramid. Draw a net for each of the following -D objects. Answers may vary. a) Cube b) Cylinder c) Rectangular prism d) Square-based pyramid e) Triangular-based pyramid f) Triangular prism Question -D Objects in Real Life. Match the letter of each picture below to the correct -D object: rectangular prism: E and G triangular prism: C pyramid: D cylinder: A and H sphere: B cone: F Note: A -D object may have more than one picture for an answer, or none at all. A B C D E F G H Term Section -D Objects Copyright Reserved

10 Grade Play! Mathematics Answer Book See pp. - Section : Common Fractions Question Ordering and Comparing Fractions TERM. Order the fractions from the smallest to the biggest:, 0,, 7,,,. 0 7.* Fill in >, < or between each pair of fractions to make correct statements. a) > b) < c) 7 > d) < e) 0 > > < 7 > 7 < 7 0 >. Order the numbers from the smallest to the biggest: 0, 7 0, 7,,,,.. Fill in > or < between each pair of fractions to make correct statements. a) > b) 0 > c) > d) < 7 Question Equivalent Fractions (Without using fraction walls). Which fractions are equal to whole? 7,,,,,. What happens to a number when you multiply it by? It remains the same e.g.. Study: To write equivalent fractions, multiply the top and the bottom by the same number. This is the same as multiplying the fraction by. For example:. Complete: a) b) We have multiplied by because. c) d). Complete to write equivalent fractions. Write down what the bottom and the top are multiplied by in each. e) 0 a) b) c) d) e) f) 0 g) h) i) 0 j) 0 k) l) Term Section Common Fractions Copyright Reserved

11 Grade Play! Mathematics Answer Book 0 Question Ordering and Comparing Fractions. Complete: a) Mark,, and 7 0 on the number line: NB: and 7 b) Order the numbers below from the smallest to the biggest:, 7,,,,,,, 7.* Fill in >, < or between each pair of fractions to make correct statements. a) b) c) > 0 d) e) < < > 0 < 7 < > > 0 > > Question Simplest Form: Part. Study: To simplify a fraction, divide the top and bottom by the biggest number that can divide into both numbers exactly. Example: We have divided by because. Why did we divide the top and the bottom by? The factors of are,,. The factors of are,,,. From this we can see that is the biggest number that can divide into both and.. Write each fraction in the simplest form, as indicated. a) b) c) d) 0 e). Study: When the numerator is half of the denominator, the fraction is equal to one half ( ) in the simplest form. For example:,,, 0 and are all equal to.. Which fraction(s) are equal to one half?,,,, 7, 0, 7. Write each fraction in the simplest form, as indicated. a) b) c) d) e).* Which of the fractions below are equivalent to and which are equivalent to?,,,,,,, 0 0 Answer:,, and, (Use question to help you if necessary) Term Section Common Fractions Copyright Reserved

12 Grade Play! Mathematics Answer Book Question Simplest Form: Part. Write each fraction in the simplest form, as indicated. a) 0 b) 0 c) 0 d) 0 e) Write each fraction in the simplest form, as indicated. a) b) c) d) e) f) g) h) i) j). What is the biggest number that can divide into both numbers exactly? a) and : The factors of are,. The factors of are,,,. b) and : The factors of are,,,. The factors of are,,,. c) and : The factors of are,,,. The factors of are,,,,,. Write each fraction in the simplest form. Fill in the number which you divide the top and the bottom by. a) b) c) d) e) 0. Which fractions are not in the simplest form?,, 7,,,,,, 0 0 Question Mixed Numbers. Study: The number is said, two and one third.. The number symbol for: a) Five and a half is b) Three and two fifths is c) Six and three eights is. Write down the mixed number represented by the shaded parts in each of the given figures. A B C D E F G H Term Section Common Fractions Copyright Reserved

13 Grade Play! Mathematics Answer Book Question 7 Mixed Numbers and Number Lines. Write down the fraction represented by each letter on the number line. A B C D a) 0 A B C D b) c) 0 A B C D E 7. Complete: a) Mark,, and on the number line: NB: and 0 *. Complete: a) Mark,, 7 and on the number line: NB:, 0 Question Mixed Numbers and Number Chains. Complete each number chain. a) b) and c) d) e) f) 7 7 g) h) i) j) Term Section Common Fractions Copyright Reserved

14 Grade Play! Mathematics Answer Book Question Subtraction of Mixed Numbers from Whole Numbers. Study: a) b) c) 7 Step : Step : Step : 7 Step : Step : Step :. Complete. a) b) c) 7 d). Study: a) b) c) 7 7 Step : Step : Step : Step : Step : Step : 7 7.* Complete. a) b) c) 7 d) 7 7. John ran 0 km on Monday and km on Tuesday. How much further did he run on Monday than on Tuesday? 0 0 km further Question 0 Writing Mixed Numbers as Improper Fractions: Part. Study: is an example of an Improper Fraction. In an improper fraction the numerator is bigger than the denominator.. Which numbers are improper fractions?,,,,,. Complete: a) b) c) 7 7 d). Study: +, + and +. Write each mixed number as an improper fraction. Show your steps. a) + b) + c) d) +. Write each mixed number as an improper fraction by doing mental calculations: a) b) c) 7 d) e) 0 0 Term Section Common Fractions Copyright Reserved

15 Grade Play! Mathematics Answer Book Question Writing Whole Numbers in Fraction Form. Study: Each whole number has a denominator of. For example:,, and etc.. Fill in the missing denominators. a) b) c) 7 7 d) f). Study: To write whole numbers as fractions, multiply the top and the bottom by the same number. Example: We have multiplied by because.. Write each whole number in fraction form. a) b) c) 7 d) 7 e) f) 0 g) h) 0 i) j) k) l) Question Writing Mixed Numbers as Improper Fractions: Part. Study: 7 +, + and Write each mixed number as an improper fraction and show your steps. a) + 7 b) + c) + 7 d) 7 + e) f) +. Write each mixed number as an improper fraction by doing mental calculations: a) 7 b) c) d) e) 7 f) 7 g) 0 h) i) 0 0 j) 7 7 Term Section Common Fractions Copyright Reserved

16 Grade Play! Mathematics Answer Book Question Writing Improper Fractions as Mixed Numbers. Study: a) + b) + : fits into once remainder quarter. : fits into once remainder fifths.. Write each fraction as a whole number or a mixed number a) b) c) d) 7 e) 7. What happens to a number when you divide it by? It remains the same e.g.. Study: We have divided by because.. Write each fraction as a whole number by doing a mental calculation. a) b) c) d) e) 0 0 f). Study: a) 7 + b) + 7 : fits into 7 twice remainder third. : fits into three times remainder fifths. 7. Write each fraction as a whole number or a mixed number a) b) c) d) 0 e). Write each improper fraction as a mixed number. a) f) 7 b) g) 7 c) h) 7 d) 7 i) e) j) 0 Question Addition of Mixed Numbers Complete. + Add the whole numbers and the fractions separately. a) + b) + c) d) e) f) + 0 Term Section Common Fractions Copyright Reserved

17 Grade Play! Mathematics Answer Book. Complete. + because whole a) + b) + c) d) + e) + f) Complete. + + because a) + b) + c) + d) + e) + f) Question Subtraction of Mixed Numbers. Complete. 7 7 a) 7 b) c) 7 7 d). Study: a) can be written as +. b) can be written as. Rewrite each mixed number to make its fractional part bigger. + + This is done to make fractional part of the mixed number bigger. a) + + b) + + c) d) e) f) + +. Complete. * is smaller than * 7 7 * is smaller than * + + a) c) b) 7 d) 7 7 e) f) Term Section Common Fractions Copyright Reserved

18 Grade Play! Mathematics Answer Book 7 Question A Fraction of a Whole Number. Study: of of Think one third of is. Think one quarter of is. means that of means that of Think two thirds of is. Think three quarters of is.. Complete by doing mental calculations: a) of b) of 0 c) 7 of d) of 0 of of 0 7 of of 0 e) of f) of g) of 0 0 h) 7 of 0 0 of 0 7 of of of 0 0 Question 7 Mixed Word Sums. of the 0 people at a concert are children, a) The number of children of 0 0 b) The number of men of 0 0 c) The number of women are men and the rest are women. 0 people. Margie has kg of sugar in one bag and kg of sugar in another bag. How much sugar does she have altogether? kg + kg kg kg. Promise spends R0 on groceries and one third as much on cleaning supplies. How much does she spend in total? Cleaning supplies of R0 R0 Promise spends R0 + R0 R00.* Anna runs km on Monday and km on Tuesday. How much further does she run on Monday than on Tuesday? km km 7km km km. Siswe pours litres of water from a litre bottle. How many litres of water are left in the bottle? litres Term Section Common Fractions Copyright Reserved

19 Grade Play! Mathematics Answer Book Assessment. Circle the letter of the correct answer. TERM. In the number 7, the sum of the value of the digit and the value of the digit is: A B 0 00 C 0 00 D What is the value of the underlined digit in? A B 0 C 000 D How much more is 000 than 00? A 00 B 00 C 00 D Which -D object is made up of square and triangles? A Square-based pyramid B Triangular prism C Triangular-based pyramid D Rectangular prism.? A B C D. Complete: a) Write the number 0 0 in words: Two hundred and two thousand, two hundred and twenty b) The difference between two numbers is 000. The smaller number is 000. What is the other number? The other number is Complete: a) b) Complete: a) + + b) c) + d) 7 7. Write as improper fractions. a) b) c). Complete: -D Object Name Number of Faces Shape of Faces a) triangular-based pyramid triangles b) hexagonal prism hexagons rectangles 7. of the 00 people at a concert are children, How many women attended the concert? The number of women 00 7 are men and the rest are women. No. children of 00 people No. men of Term For more assessments, visit Copyright Reserved

20 Grade Play! Mathematics Answer Book Section : Division Question Speed exercises ( ). Complete: Hint: Check your answers with multiplication. TERM a) b) 0 c) d) Complete: a) b) c) 7 d) Question Factors. Study: x x x factor factor factor factor factor factor,,,,, are factors of. Always write factors in pairs, from the outside in..* Write down the missing factor in each of the following: a) b) c) 0 d) 7 e) * Complete. a) The factors of are,,,,,. b) The factors of are,,,,,,,. c) The factors of are,,,,,,,,,. d) The factors of are,,, 7,,,,. e) The factors of 0 are,,,,,, 0,,, 0, 0, 0. f)* The factors of 7 are,,,,,,,,,,, 7. Term Section Division Copyright Reserved

21 Grade Play! Mathematics Answer Book 00 Question Multiples. Study:,,,, 0 are called multiples of. Multiples think multiply. x, x, x, x etc. Complete: a) Write down the first multiples of.,,,, 0,,,. b) Write down the first 7 multiples of.,, 7,,,,.. Complete: a) Write down the multiples of between 0 and 0., 0,,,. b) Write down the multiples of between 0 and 0., 0,,. Question Division with Remainders. Study: If one number doesn t divide into another an exact number of times, we get a remainder. Examples: a) 7 remainder, because ( ) + 7. b) 7 remainder, because ( ) + 7. or ( ) + 7. Fill in the missing numbers.. Complete by mental calculation: a) because a) r r because ( ) + b) 7 r 0 r because ( ) + 0 c) r b) because d) 7 r r because ( ) + e) r r because ( ) + f) 7 r c) 7 because 7 g) 0 r 7 r because ( 7) + h) r 7 r because ( 7) + i) r Question Division (-digit by -digit): Part. Complete. 0 0 Think T T a) 0 0 b) 0 0 c) 70 0 d) 0 70 e) 00 0 f) g) 00 0 h) Complete. Use the breaking-up method or the short method. Example : Example : a) Breaking-up Method 0 0 Breaking-up Method 0 0 b) c) 0 Short Method Short Method d) e) 7 7 Term Section Division Copyright Reserved

22 Grade Play! Mathematics Answer Book 0 Question Division (-digit by -digit): Part. Complete. Use the breaking-up method or the short method. Example : Example : 0 a) b) Breaking-up Method 0 0 Breaking-up Method c) e) 7 d) f) 7 7 Short Method Short Method g) h) i) j) 7. Complete. Example : 0 Example : 0 Breaking-up Method Short Method 0 0 Breaking-up Method Short Method 0 0 a) 0 0 b) 0 0 c) 70 0 d) e) 0 0. Complete. Example : Example : Breaking-up Method Short Method Breaking-up Method Short Method a) b) 7 c) 7 d) e) Question 7 Division with Remainders. Complete by using the short method of division. Example: a) 7 r b) r c) 7 r r 7 7 d) 7 7 r e) r 7 f) r g) 7 r h) 7 7 r i) 7 r Term Section Division Copyright Reserved

23 Grade Play! Mathematics Answer Book 0 Question Problem Solving. Thandi has pears. She wants to pack them into packets with in each to sell at the market. How many packets will she have? Will any pears be left over? r. She will have packets to sell, with pear left out.. The cashier at the Gr school concert collected R. Each ticket costs R. How many people watched the concert? R people. Share R0 equally amongst girls and boys. R0 children R/child. James is offered R for hours of work from Mrs Q. R hours R/ h Mrs X offered him R7 for hours of work. [R7 hours R/ h (R more per hour) Which offer should James accept, to get the highest rate per hour? Mrs Q s offer. Which is the cheaper price per t-shirt? a) shirts for R07 or b) shirts for R0. Answer: b R07 shirts R0 shirts R/ shirt R/ shirt Question Division using Factors (-digit by -digit). Study: In these examples we use the factors of the -digit number to calculate the answer. Example : 0 Example : 7 or 7 or 7. Complete using the factors of each -digit number. a) ( or ) d) ( or ) g) ( 7 ) not b) 0 (0 ) e) 7 7 (7 7 ) h) 7 (7 7 ) c) ( or ) f) 7 ( ) *i) 7 (7 7) Question 0 Problem Solving. If R700 is shared equally amongst 0 grandchildren, how much money does each child get? R700 0 children R70/ child. A waitress makes R in a hour shift. How much does she earn per hour? R R7 R hours R7/hour. At the Grade entrepreneur s day, a photo frame was sold for R,00. There was a total of R00,00 in the cash box at the end of the day How many photo frames were sold? R00 R photo frames. A dress-maker buys m of material for R. How much does the material cost per metre? R R/m Term Section Division Copyright Reserved

24 Grade Play! Mathematics Answer Book 0 Section : Perimeter, Area and Volume Question Perimeter Basics TERM. Study: Perimeter is the total distance around the outside of a shape. To work out the perimeter of a shape, you must add the lengths of all of the sides. cm cm cm The perimeter of this shape cm + cm + cm + cm cm cm. Complete the sentence: Perimeter is the total distance around the outside of a shape.. True or False? To work out the perimeter of a shape, add the lengths of some of the sides together. False ALL of the sides must be added.. Calculate the perimeter of each of the following shapes. Remember to include the unit (mm, cm or m) in each answer. [Figures are not drawn to scale] a) P cm b) P + + 7m c) P ½ + + ½cm d)* P + + ½ + ½ + mm cm Question Perimeter of a Rectangle. Study: cm cm ½cm cm cm m m m ½cm ½ cm cm cm mm The perimeter of this rectangle cm + cm + ½cm + ½cm 0cm + cm cm mm mm ½mm ½mm cm Remember: A rectangle has two equal lengths and two equal widths.. Calculate the perimeter of each of the following rectangles. Remember to include the unit (mm, cm or m) in each answer. [Figures are not drawn to scale] a) P 0 + mm b) P + cm c) P + m d) P + cm mm 7cm ½m cm mm mm mm cm 7cm cm m ½m m ½cm cm ½cm Term Section Perimeter, Area and Volume Copyright Reserved

25 Grade Play! Mathematics Answer Book 0 Question Perimeter of a Square. Study: cm cm cm The perimeter of this square cm + cm + cm + cm [or cm] cm cm Remember: A square has four equal sides.. Calculate the perimeter of each of the following squares. It is a square: all four sides m a) P mm b) P cm c)* P m d)* P ½ + ½ + ½ + ½ cm mm cm m ½ cm mm mm cm cm m m ½ cm ½ cm mm cm m ½ cm Question Problem Solving *. Complete: A square has four equal sides. a) The perimeter of a square is m. What is the length of side? m m b) The perimeter of a square is cm. What is the length of side? cm cm c) The perimeter of a square is mm. What is the length of side? mm mm *. Complete: A rectangle has two equal lengths and two equal widths. a) The perimeter of a rectangle is m. The length is m. What is the width? m m m Width m m b) The perimeter of a rectangle is m. The length is m. What is the width? m m m Width m m m?? m m?? m c) The perimeter of a rectangle is cm. The width is cm. What is the length?? cm m 0cm cm Length cm 7cm? Question Perimeter of irregular polygons. The figures below show the shapes of different gardens. Calculate the perimeter of each. cm a) P m b) P ½ ½ + 7m c)* P + ½ + ½ + ½ + ½ + 0m m m ½m m m m m ½m m m ½m ½m m m m m ½m ½m Term Section Perimeter, Area and Volume Copyright Reserved

26 Grade Play! Mathematics Answer Book 0. Calculate the perimeter of each -D diagram on the grid. Each square on the grid has a length of cm. a) P cm b) P cm c) P cm a) b) c) Question Area (cm ). Study: Area is the amount of space covered by a shape. cm Each of the sides of this small square is cm long. It occupies an area of square centimetre ( cm ). We use the square centimetre to say how big the area of a figure is.. Complete: Area is the amount of space covered by a shape. You can also think of area as the size of a surface.. Find the area of each shape below by counting the square centimetres (cm ) and then answer the questions that follow. a) A cm b) A cm c) A cm d) A cm. Which shape has the biggest area? Shape a. How much bigger is the area of shape b than shape d? cm cm cm. Find the area of each shape below by counting the square centimetres (cm ) and then answer the questions that follow. Hint: ½ cm therefore + cm a) A cm b) A 7 cm c) A ½ cm d) A ½ cm. Which shape has the smallest area? Shape c. How much smaller is shape a than shape d? ½ square unit Term Section Perimeter, Area and Volume Copyright Reserved

27 Grade Play! Mathematics Answer Book 0. Draw a rectangle, on the grid below, with an area of: a) 0 cm. cm by cm*. b) cm. cm by cm* a) b) *Answers may vary Question 7 Perimeter and Area. True or False? a) Area tells us what the total distance around a shape is. False b) Perimeter tells us how much space a shape covers. False. Calculate the perimeter and area of each figure below. Each square forming the grid has a length of cm. a) P cm b) P cm c) P cm A cm A 0 cm A cm d) P cm e) P cm f)* P 0½ cm A cm A 0 cm A ½ cm ½ cm *. On the grid below, draw an irregular shape (not a square or rectangle) with a perimeter cm and an area of cm. Answers may vary Term Section Perimeter, Area and Volume Copyright Reserved

28 Grade Play! Mathematics Answer Book 07 Question Problem Solving. Study: We measure the area of a shape by the number of square units needed to cover it. The units include: square millimetres (mm ) for very small areas. square centimetres (cm ) for small/ medium areas. square metres (m ) for large areas..* Mrs. Xhosa has bought a new house. The shape of her bedroom is shown on the grid below. ½ m a) b) She wants to tile her new bedroom. How many square metres (m ) of tiles does she need? ½ squares (m ) of tiles. Area If the tiles cost R0 for m, how much will it cost her to tile her bedroom? R0 R0 and ½ of R0 R0 She needs R0 to tile her bedroom. Did you know? A skirting is a wooden board running along the base of an interior wall. Scale: Wall Tiles m m Skirting c) She also wants a new skirting around the bedroom. How many metres of skirting does she need? ½ m of skirting. Perimeter d) If the skirting costs R for m, how much will the skirting cost her in total? R R0 and ½ of R R She needs R for the skirting. Question Volume. Study: Each edge of this cube is cm long. The amount of space occupied by the cube is cubic centimetre (cm ). cm The amount of space which this cube occupies is called its volume. cm cm A cube with each edge measuring m long has a volume of cubic metre (m ). Remember that the amount of space inside a -D container is called its capacity and capacity is measured in litres, millilitres, etc. m m m This figure is not drawn to scale.. Write down the volume of each object by counting the cubic centimetres (cm ). a) V cm b) V 7 cm c) V cm d) V 7 cm Term Section Perimeter, Area and Volume Copyright Reserved

29 Grade Play! Mathematics Answer Book 0. Study the examples: Volume Volume Volume Volume cm cm cm cm [ row] [ rows] [ rows] [ rows]. Write down the volume of each object by counting the cubic centimetres (cm ). a) V cm b) V cm c) V cm d) V cm e) V 0 cm f) V cm g) V cm h) V 0 cm Term Section Perimeter, Area and Volume Copyright Reserved

30 Grade Play! Mathematics Answer Book 0 Section 7: Position / Location Question Co-ordinates of objects on a grid TERM. Study: Co-ordinates tell us exactly where a point or object is on a grid or map. We use letters and numbers to identify each specific square (cell). NB: Always write the horizontal reference first and then the vertical reference.. Use the grid to answer the questions below. A B C D E F G H I J. In which cell is the:. Name the object in cell: a) telephone? B a) A Happy face b) envelope? F b) E Candle c) sun? D c) G Snowflake d) clock? J d) J Arrow e) flower? H e) D Hand Question Compass Directions W. Study: Aeroplane pilots and captains of ships use a N compass to navigate their routes. S E A compass is an instrument which has a magnetic needle that always points to the North. The main compass directions are North, South, East and West. The East-West line on a compass is a horizontal line and the North- South line is a vertical line.. Fill in the missing word(s) in each sentence. a) A compass has a magnetic needle that always points to the North. b) The main compass directions are North, South, East and West. c) The North-South line is a vertical line.. Use a pencil and ruler to draw the route you will travel if you start at a point A and travel km North, km East, km South, km West and finally km North to a point B. Let cm represent km on the plan of your route. A km B In what direction and how far is point B from point A? Point B is km West of point A. Term Section 7 Position / Location Copyright Reserved

31 Grade Play! Mathematics Answer Book 0 Question Places on a Map. This is a map of the provinces in South Africa. Use the map to answer the questions below. A B C D E F G H I J. In which cell is: a) Port Elizabeth? F b) Sun City? G c) Bisho? G d) Durban? I. Which place(s) are in each of these cells? a) C Cape Town b) H Drakensberg c) F Port Elizabeth/ Addo National Park. Which city is in on the border of these cells? a) F and G Bloemfontein b) G and H Pretoria. If you go for a swim in I, which ocean will you be swimming in? The Indian Ocean. Complete: a) Which province is East of Gauteng? Mpumalanga b) Which province is North of Gauteng? Limpopo c) Which province is West of Gauteng? North West d) Which Ocean is West of South Africa? The South Atlantic Ocean e) Which Ocean is East of South Africa? The Indian Ocean Term Section 7 Position / Location Copyright Reserved

32 Grade Play! Mathematics Answer Book Question Tesselations Section : Transformations TERM. Study: To tessellate means to cover a flat surface, using one or more -D shapes repeatedly, leaving no gaps or spaces. Examples:. Name the repeated shape(s) or figure(s) in each tessellation below. a) b) c) Arrows Hexagons Hexagons and Squares. d) e) f)* The letter N and Triangles Hexagons, Squares and Triangles Stars and Rhombuses Question Transformations. Study: To transform a shape means to change its position or size but not its shape. There are three types of transformations:. Translation (slide). Reflection (flip). Rotation (turn). Complete each sentence: a) When a figure is transformed, its position or size is changed but not its shape. b) Translation means that you slide a shape or picture. c) To draw the reflection of a shape means to flip it. d) To rotate a figure means to turn it around about a fixed point. e) Horizontally means moving sideways/ left or right. Term Section Transformations Copyright Reserved

33 Grade Play! Mathematics Answer Book. Complete the translation of each picture as indicated. a) Horizontally b) Vertically c) Diagonally d) Horizontally. Translate (move) each shape units right.. Translate each shape units left. a) b) a) b). Translate each shape units down. 7. Translate each shape units up. a) b) a) b). Draw the reflection of each shape across the vertical line of symmetry. a) b) c) d). Draw the reflection of each shape across the horizontal line of symmetry. a) b) c) d) 0. State whether each rotation is a half turn or a quarter turn. a) b) c) d) Half turn Quarter turn Half turn Quarter turn Term Section Transformations Copyright Reserved

34 Grade Play! Mathematics Answer Book.* Use the dotted lines to rotate each object quarter turns around its point. a) b) c) Question Mixed Questions. State whether each transformation is a translation, reflection or a rotation. a) b) c) translation reflection reflection d) e) f) rotation translation reflection g)* h)* i)* translation reflection translation (down). Complete: a) Which shape(s) were used to make each composite figure below. b) Describe whether the shapes were translated, reflected or rotated to make the composite figures. Answers may vary...*. a) Triangle a) Triangle a) Triangle b) Rotated b) Reflected (Diagonal line of symmetry).*.*.** b) Translated (Grey: right. White: left) a) Curved shape a) Curved shape a) Arrow b) Translated right (Two rows) b). Reflected (Grey: vertical line of symmetry). Translated down (two columns) b). Reflected (Grey: vertical line of symmetry). Translated down ( columns) Term Section Transformations Copyright Reserved

35 Grade Play! Mathematics Answer Book Assessment. Circle the letter of the correct answer. TERM. Which number is divisible by? A 0 B C D. Which number is a not factor of 0? A B C D. For days of work, Sipho is paid R70. How much does he earn per day? A R0/day B R0/day C R00/day D R/day R70 d R0/d. The perimeter of a square is cm. What is the length of side? cm cm A m B cm C cm D cm. [ or ] A B C D 7 r. What is the volume of the object if the volume of each block is cm? A 7cm B 0 cm C 0 cm. Complete: a) r b) 7 c) 7. Calculate the perimeter and area of the diagram. Each square forming the grid has a length of cm. P cm A 0 cm. Translate each shape units right.. Draw the reflection of each shape a) b) a) b). The perimeter of a rectangle is cm. The width is cm. What is the length? m m m Length m m 7. Which is the cheaper price per shirt? shirts for R or shirts for R0. R shirts R0 shirts R7/ shirt R/ shirt cm?? cm. Lize is a waitress. She makes R00 in a hour shift. How much does she earn per hour? 00 R R7 R00 hours R7/hour Term For more assessments, visit Copyright Reserved

36 Grade Play! Mathematics Answer Book Section : Geometric Patterns Question Growing Patterns with a Constant Difference of TERM. Study: A constant difference means that the same number of shapes/objects are added to each new diagram in a pattern. For these questions, the constant difference is.. Consider the pattern and then complete the table. No. is short for number. Diagram number No. of cubes Rule: No. of cubes Diagram number. Draw the th diagram in the pattern and then complete the table and the rule. Diagram number 7 0 No. of triangles 7 0 Rule: No. of triangles Diagram number. Draw the th diagram in the pattern and then complete the table and the rule. Diagram number No. of circles Rule: No. of circles Diagram number. Draw the th diagram in the pattern. a) How does this pattern differ from the pattern in? Each diagram has circle more. b) Complete the table and the rule: Diagram number No. of circles Rule: No. of circles Diagram number +. Study the pattern below and then complete the rule and the table. Rule: No. of bricks Figure number + Figure number 0 Number of bricks 7 Term Section Geometric Patterns Copyright Reserved

37 Grade Play! Mathematics Answer Book Question Growing patterns with a constant difference of. Draw the missing rd diagram in the pattern. a) How many squares are added from diagram to diagram? squares b) Complete the table and the rule: Diagram number No. of squares Rule: No. of squares Diagram number multiples of We are working with multiples of. Therefore the rule is. Draw the missing rd diagram in the pattern. a) How many squares are added from diagram to diagram? squares b) How does this pattern differ from the pattern in? Each diagram has square more. c) Complete the table and the rule: Diagram number 7 No. of squares 7 Rule: No. of squares Diagram number +. Draw the th diagram in the pattern. multiples of plus a) How many squares are added from diagram to diagram? squares b) How does this pattern differ from the pattern in? Each diagram has square less. c) Complete the table and the rule: Diagram number No. of squares 7 Rule: No. of squares Diagram number multiples of minus When there is a constant difference of, the first part of the rule is to multiply each input by and then add or subtract a number, to get to the correct output. Term Section Geometric Patterns Copyright Reserved

38 Grade Play! Mathematics Answer Book 7 Question Growing patterns with a constant difference of. Draw the rd diagram in the pattern. a) How many smiley faces are added from diagram to diagram? smiley faces b) Complete the table and the rule: Diagram number No. of smileys Rule: No. of smileys Diagram number multiples of. Draw the rd diagram in the pattern. a) How many smiley faces are added from diagram to diagram? smiley faces b) How does this pattern differ from the pattern in? Each diagram has smiley faces more. c) Complete the table and the rule: Diagram number 7 No. of smileys 7 Rule: No. of smileys Diagram number + multiples of plus.* Draw the rd diagram in the pattern. a) How many suns are added from diagram to diagram? suns + s b) Complete the table and the rule: Diagram number 7 No. of suns 7 0 Rule: No. of suns Diagram number multiples of minus When there is a constant difference of, the first part of the rule is to multiply each input by and then add or subtract a number, to get to the correct output. Term Section Geometric Patterns Copyright Reserved

39 Grade Play! Mathematics Answer Book Question Patterns involving Matches. Matches are used to make the pattern below. a) Draw the next diagram. b) How many matches are added from diagram to diagram? matches (not ) c) Complete the table and the rule: Number of triangles Number of matches 7 Rule: No. of matches Number of triangles +. Matches are used to make the pattern below. a) Draw the next diagram. b) How many matches are added from diagram to diagram? matches (not ) c) Complete the table and the rule: Number of squares Number of matches Rule: No. of matches Number of squares +. Matches are used to make the pattern below. a) Draw the missing rd diagram. multiples of b) Complete the table and the rule: Diagram number Number of matches 0 Rule: No. of matches Diagram number.* Study the house pattern made with matches and then complete the table and the rule. Diagram number 0 Number of matches Rule: No. of matches Diagram number + Term Section Geometric Patterns Copyright Reserved

40 Grade Play! Mathematics Answer Book Question Patterns involving -D Objects. Study the patterns below and then complete each rule and table. a) Rule: No. of bricks Figure number + Figure number Number of bricks 0 b) Rule: No. of bricks Figure number + Figure number Number of bricks 7 c)* Rule: No. of bricks Figure number Figure number 0 Number of bricks 7 0 Question Square Numbers. Study: Square Numbers. Draw the next diagram in the pattern and then complete the table and the rule. Diagram number 7 0 Number of dots 00 *There is NOT a constant difference between the number of dots. Rule: No. of dots Diagram number Diagram number Term Section Geometric Patterns Copyright Reserved

41 Grade Play! Mathematics Answer Book 0 Section 0: Number Sentences TERM Question Order of Operations. Complete: True False. Complete: True False a) + + a) b) b) c) 7 7 c) 7 7 d) d) Fill in the missing numbers. a) b) + + c) d) + + e) 7 7 f) Question Writing Number Sentences. Write a number sentence for each of the following and then find the answer. *only correct answer a) The sum of and. + or + b) The difference between 00 and. 00 * c) The product of 7 and. 7 or 7 d) The quotient when is divided by. * e) is subtracted from 0. 0 * Study: Product means multiply. The product of and is. Quotient means divide. The quotient when is divided by is. Question Inverse Operations (+ and ). Complete: a) + 7 means 7 b) + 0 means 0 c) 7 means + 7 d) 00 means Write one addition number sentence for each subtraction number sentence. a) b) Write two subtraction number sentences for each addition number sentence. a) b) Write a number sentence for each word problem and then find the answer. a) The sum of two numbers is. The one number is 7. What is the other number? The other number is: b) The sum of two numbers is. The one number is 7. What is the other number? The other number is: In this section, always big small c) The difference between two numbers is 7. The larger number is. What is the other number? 7 7 The other number is: d) The difference between two numbers is. The larger number is 0. What is the other number? 0 0 The other number is: Term Section 0 Number Sentences Copyright Reserved

42 Grade Play! Mathematics Answer Book Question Inverse Operations ( and ). Complete: a) means b) 0 means 0 c) 7 means 7 d) 00 means 00. Write two multiplication number sentences for each division number sentence. a) b). Write two division number sentences for each multiplication number sentence. In this section, always big small a) 7 7 b) Write a number sentence for each word problem and then find the answer. a) When two numbers are multiplied the answer is. The one number is. What is the other number? The other number is: b) The product of two numbers is. The one number is. What is the other number? The other number is: c) When 0 is divided by a certain number, the answer is. What is the number? 0 0 The number is: d)* When 7 is divided by a certain number, the answer is. What is the number? 7 7 The number is: Question Problem Solving. Write a number sentence for each word problem and then find the answer. a) There are girls and 7 boys in a school. i) How many learners are there altogether? + 7 ii) How many more girls are there than boys? 7 b) A lollipop costs R. How many lollipops can I buy for R? R 7 c) soccer balls cost R0,00. What is the price per soccer ball? R0 R0/ ball d) Mother is years old. Father is years old. What is the difference between their ages? 7 years Question Writing Number Sentences.* Write a number sentence for each word problem and then find the answer for each. a) Multiply the difference between and by. ( ) b) Multiply the difference between 0 and by 7. (0 ) 7 7 c) Subtract from the product of and. ( ) 7 d) Subtract from the product of and. ( ) 0 e) Multiply the sum of and by. ( + ) f) Multiply the sum of 7 and by. (7 + ) Term Section 0 Number Sentences Copyright Reserved

43 Grade Play! Mathematics Answer Book Question 7 Solving Number Sentences (+ and ). Study: When considering the equal sign (): The total on the left must always equal the total on the right. For example: a) b) Fill in the missing numbers. a) b) 7 + c) d) 7 + e) f) g) 0 h) 7. Fill in the missing numbers. a) b) + + c) + d) + e) 7 f) + g) h). Fill in the missing numbers. a) b) c) d) e) f) 0 +. Complete:. Complete: Number sentence: Means that: Number sentence: Means that: a) + 0 Δ Δ a) x x b) b) c) c) + + d) d) p 0 p Question Solving Number Sentences (+,, and ). Study: When considering the equal sign (): The total on the left must always equal the total on the right. For example: a) +. b) c) 0. Fill in the missing numbers. + a) b) c) d) e) 0 f) + g) 0 + h) Question Using Brackets. Complete: Remember: Brackets mean do me separately. a) ( + ) 0 b) (7 + ) c) (0 ) d) ( ) 7 7 e) (7 + ) 0 0 f) ( ) + ( ) + 0 g) ( ) 0 h) ( + ) ( ) Term Section 0 Number Sentences Copyright Reserved

44 Grade Play! Mathematics Answer Book Question 0 Order of Operations. Study: a) If the same operation is performed twice, the order does not affect the outcome. + and + and and and b) If different operations are performed, one after the other, the order does affect the outcome. + and and + and and. Complete: True False a) Both equal. b) ( ) + ( + ) ( ) + + but ( + ) 7 c) ( + ) + 7 ( + 7) + If we perform the same operation twice, the order does not affect the outcome. d) ( ) ( ) ( ) 0 but ( ) e) (0 ) + (0 + ) Question Multiple Choice. Circle the letter of the correct answer. If we perform different operations, one after the other, the order does affect the outcome.. What is the missing number in ( ) ( ) 7 A B C 7 D means that A B 7 C D. Which number sentence is true? A + B C 0 D. means that 7 7 A B C 7 D ½. The difference between and twelves and twelves A B C D. The difference between and 7 A B C D ( ) A (0 ) B 7 0 C 0 7 D. Subtract from the product of and as a number sentence A B ( + ) C ( ) D ( ). Which number sentence is true? represents the same number. A + B 0 C + D + Term Section 0 Number Sentences Copyright Reserved

45 Grade Play! Mathematics Answer Book Section : Probability Question Certain, Uncertain and Impossible Events. State whether the following events are certain, uncertain or impossible. TERM a) It will rain next week. Uncertain b) Money will grow on a tree. Impossible c) The sun will rise tomorrow morning. Certain e) You will have birthdays in 0. Impossible d) A cow will fly over the fence. Impossible f) You will eat ice-cream over the weekend. Uncertain. Which of these outcomes are possible when you roll a normal six-sided die? a) You roll a. b) You roll a. Impossible c) You roll an even number. d) You roll a 0. Impossible e) You roll an odd number. f) You roll a. Question Likely and Unlikely Events. Complete each sentence by filling in certain, likely, unlikely or impossible. a) b) c) d) e) It is likely to choose a square. It is unlikely to choose a triangle. It is certain to choose an arrow. It is impossible to choose a star. It is likely to choose a star. Question Tossing a Coin. Toss a coin 00 times. Record the outcomes in the table by making tally marks. Heads Tails Outcome Tally marks Frequency Heads Tails. Did you get more heads or tails? What conclusion can you draw from the results? After 00 tosses you may get a few more Heads or a few more Tails, but we say that both outcomes are equally likely. This means that the chance of getting Heads or Tails when tossing a coin is the same. We can also say that there is a 0-0 chance of getting Heads or Tails. Term Section Probability Copyright Reserved

46 Grade Play! Mathematics Answer Book Question Probability. Study: The probability of an event occurring is the measure of the chance that the event will take place as a result of an experiment. Consider a normal six-sided die. The probability of rolling a number of times a "" occurs number of possible outcomes There is a in or chance of throwing a.. What is the probability of each event occurring when you roll a normal six-sided die? 0 a) You roll a. b) You roll a. 0 c) You roll an even number. (, or possibilities) d) You roll a e) You roll a. f) You roll an odd number. (, or possibilities). There are blue discs, green discs and red discs in a bag. I take one disc out at a time and then put it back afterwards. a) How many possible outcomes are there in total? + + b) What is the probability of taking out a blue disc? c) What is the probability of taking out a green or red disc? + d) what is the chance of taking out a yellow disc? 0 0 (zero chance/ impossible). The months of the year are written on slips of paper which are put in a jar. If you draw a piece of paper from the jar, what chance is there of drawing: a) the February paper? 0 b) a month with days? 0 c) a month starting with a J? (Jan, Jun, July) d)* a month with 0 days? (Apr, Jun, Sep, Nov) (zero chance/ impossible). Consider the numbered spinner below. What is the probability of spinning a: a)? b)? c)? 0 0 d)? e)? 0 0 f) or? There are possible outcomes. Term Section Probability Copyright Reserved