MATHS REVISION GRADE 6. 1.(a) x 1000 = (b) ( 4 x 9 ) = 6. c) 2/9 + 8/9 = (d) What is 2/3 of 78? g) ¼ 3 = (h) =
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1 MATHS REVISION GRADE 6 NAME 1.(a) x 1000 = (b) ( 4 x 9 ) = 6 c) 2/9 + 8/9 = (d) What is 2/3 of 78? e) 9/10 2/5 = (f) 5 x ¾ = g) ¼ 3 = (h) = i) 25% of 460 = (j) Place value of 6 in = k) Write in words (l) Round to 1 dp = m) 67 a = 18 ; a = (n) ( put <, > or =) o) Angles in a triangle add up to (p) Write the prime factors of 24 q) Write 2/5 as decimals (r) Write 90% as fraction s) LCM of 4 and 6 (t) An obtuse angle measures more than u) HCF of 12 and 18 (v) 2/3 of 72 w) Write 4/5 as percentage (x) Write as it is on a 12 hour clock time y) 350 cm = m (z) 4 ¾ kg = grams II. Solve the following: 1. In an afternoon, 2376 people watch a concert. Another 5851 people watch a concert in the evening. Altogether, how many people watch the concerts? 2. Frankie scores 5 6 points in a dance competition. Linda scores 0 9 more points than Frankie. How many points does Linda score? 3. Find the missing angle. Page 1 of 7
2 4. Which of these calculations equals 24? Put a tick or a cross next to each one. a) b) c) 18 + (54 9) d) Carla takes five books to school. These books and Carla s bag weigh 4 5 kg together. a) The books weigh 750 g, 0 6 kg, 700 g, 420 g and 1kg. Work out the total weight of these five books. Give your answer in kg and g. b) Work out the weight of Carla s empty bag? c) One day, Carla takes an extra book to school. The weight of Carla s bag and all the books is now 4 ¾ kg Work out the weight of the extra book. 6. Draw all the possible lines of symmetry, if any, of the following shapes. 7. Martina is sick. The doctor tells Martina to take 5 millilitres (ml) of syrup 3 times a day for 5 days. a) How many millilitres (ml) of syrup does Martina take everyday? b) The capacity of the bottle is 90 millilitres (ml). How much syrup is left in the bottle after 5 days? c) Work out the number of teaspoons Martina needs in order to fill the whole water bottle with water. Page 2 of 7
3 8. Choose numbers from the following table to fill in the boxes below. Use each number only once. 9. Julia has a number of equilateral triangles. Each equilateral triangle has a perimeter of 12 cm. a) Work out the length of each side of the equilateral triangle. b) Julia uses these triangles to form one big equilateral triangle. i) Work out the perimeter of the big equilateral triangle. ii) Shade ¼ of the big equilateral triangle. 10. The diagram below is made up of a rectangle and four equal squares. The breadth of the rectangle is ¼ that of its length. a) Work out the length of the rectangle b) Work out the perimeter of the rectangle c) The total area of the four squares is 144 cm². What is the length of each side of the squares? Page 3 of 7
4 11. All the Year 6 children in a school were asked about their favourite hobby. a) What percentage of the children like computer games? b) More children prefer reading rather than collecting stickers. Is this True or False? Explain. c) How many Year 6 children are there in this school? 12. Look at this triangle. a) Page 4 of 7
5 13. Four identical small rectangles are joined together to make a large rectangle. A is the point (6, 5) Work out the coordinates of B, C, and D. 14. Work out the area and perimeter of the shaded shape. 15. Draw a rectangle on this centimetre grid with perimeter 16 cm and area 12 cm². Page 5 of 7
6 16. The diagram shows the net of a cube. Put numbers on the blank faces so that opposite faces of the cube add up to Complete the chart. Find as many shapes as you can for each shape name: 18. In a class of 50 students, 18 take only Chorus, 26 take only Band, and 2 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band? 19. There are 360 passengers on an aeroplane. ¼ of them are British ; 10% of them are French ; 2/5 of them are German ; the rest are Maltese How many Maltese passengers are there? Page 6 of 7
7 20. Page 7 of 7
8 MATHS REVISION GRADE 6 NAME 1.(a) x 1000 = 590 (b) ( 4 x 9 ) 6 = 6 c) 2/9 + 8/9 = 10/9 = 1 1/9 (d) What is 2/3 of 78? 52 e) 9/10 2/5 = 5/10 = ½ (f) 5 x ¾ = 3.75 g) ¼ 3 = 1/12 (h) = i) 25% of 460 = 115 (j) Place value of 6 in = 6 hundredth k) Write in words Ten thousand five hundred eighty six (l) Round to 1 dp = 2.4 m) 67 a = 18 ; a = 49 (n) 14.5 > ( put <, > or =) o) Angles in a triangle add up to 180 (p) Write the prime factors of 24 = 2 x 2 x 2 x 3 q) Write 2/5 as decimals 0.4 (r) Write 90% as fraction 9/10 s) LCM of 4 and 6 12 (t) An obtuse angle measures more than 90 u) HCF of 12 and 18 6 (v) 2/3 of 72 = 48 w) Write 4/5 as percentage 80% (x) Write as it is on a 12 hour clock time 3:30pm y) 350 cm = 3.5 m (z) 4 ¾ kg = 4500 grams. II. Solve the following: 1. In an afternoon, 2376 people watch a concert. Another 5851 people watch a concert in the evening. Altogether, how many people watch the concerts? = 8227 people 2. Frankie scores 5 6 points in a dance competition. Linda scores 0 9 more points than Frankie. How many points does Linda score? = 6.5 points 3. Find the missing angle. X = 80 Page 1 of 8
9 4. Which of these calculations equals 24? Put a tick or a cross next to each one. a) X b) T c) 18 + (54 9) T d) X 5. Carla takes five books to school. These books and Carla s bag weigh 4 5 kg together. a) The books weigh 750 g, 0 6 kg, 700 g, 420 g and 1kg. Work out the total weight of these five books. Give your answer in kg and g. 3 kg 470 grams b) Work out the weight of Carla s empty bag? = 1.03 kg c) One day, Carla takes an extra book to school. The weight of Carla s bag and all the books is now 4 ¾ kg Work out the weight of the extra book = 250 g 6. Draw all the possible lines of symmetry, if any, of the following shapes. 7. Martina is sick. The doctor tells Martina to take 5 millilitres (ml) of syrup 3 times a day for 5 days. a) How many millilitres (ml) of syrup does Martina take everyday? 15 ml b) The capacity of the bottle is 90 millilitres (ml). How much syrup is left in the bottle after 5 days? = 15 ml c) Work out the number of teaspoons Martina needs in order to fill the whole water bottle with water = 300 spoons Page 2 of 8
10 8. Choose numbers from the following table to fill in the boxes below. Use each number only once. 9. Julia has a number of equilateral triangles. Each equilateral triangle has a perimeter of 12 cm. a) Work out the length of each side of the equilateral triangle. 4 cm b) Julia uses these triangles to form one big equilateral triangle. i) Work out the perimeter of the big equilateral triangle. 16 x 3 = 48 cm ii) Shade ¼ of the big equilateral triangle. ¼ of 16 = The diagram below is made up of a rectangle and four equal squares. The breadth of the rectangle is ¼ that of its length. a) Work out the length of the rectangle 15 x 4 = 60 cm b) Work out the perimeter of the rectangle 2 ( ) = 150 cm c) The total area of the four squares is 144 cm². What is the length of each side of the squares? = 36; 36 = 6 cm Page 3 of 8
11 11. All the Year 6 children in a school were asked about their favourite hobby. a) What percentage of the children like computer games? 10% b) More children prefer reading rather than collecting stickers. Is this True or False? Explain. Reading = 20%, where as collecting stickers = 10% c) How many Year 6 children are there in this school? 60 children 12. Look at this triangle. a) Page 4 of 8
12 13. Four identical small rectangles are joined together to make a large rectangle. A is the point (6, 5) Work out the coordinates of B, C, and D. B= (12, 5); C = (6, -5) ; D = (12, -5) 14. Work out the area and perimeter of the shaded shape. Area = 11 sq.units Perimeter = Draw a rectangle on this centimetre grid with perimeter 16 cm and area 12 cm². Page 5 of 8
13 16. The diagram shows the net of a cube. Put numbers on the blank faces so that opposite faces of the cube add up to Complete the chart. Find as many shapes as you can for each shape name: 18. In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band? 19. There are 360 passengers on an aeroplane. ¼ of them are British ; 10% of them are French ; 2/5 of them are German ; the rest are Maltese How many Maltese passengers are there? Brit = 90; Fr = 36; Ger 144; Malltese = 90 Page 6 of 8
14 20. Lina s candle is 28 cm high when she lights it at 7 p.m. It burns down 3 cm every hour. Mona s candle is 30 cm hight when she lights it at 7 p.m. It burns down 4 cm every hour. Whose candle is taller at 11 p.m.? Lina s candle is taller at 11 pm 21. Every 6th person who arrives at a book sale receives a free calendar and every 8th person receives a free book. Which of the first 50 people receive a book and a calendar? 24 th person 22. a) Write in words: Thirteen thousand and eight b) Expand using numerals, c) Circle the prime numbers d) Round to the nearest 100, e) ; Round to the nearest whole number 46 ; 1 dp 46.3 ; 2 dp f) What is the place value of 5 in 75621? ? five hundredth g) Area of a square is 49 cm². Find its perimeter. 28 cm 23. These thermometers show the temperatures on Thursday and Friday. a) In the blanks, write an integer for each temperature. Thursday -10 C ; Friday 25 C b) How much did the temperature change? Temperature went up (increased) by 35 C 24.. Use all the number cards below to write a decimal number which: has got no tenths has 8 in the units position is between 20 and 30 Page 7 of 8
15 25. These four bottles are filled with different amounts of water. a) What is the capacity of Bottle D? Give your answer in millilitres. 750 ml b) Bottle A contains 1000 ml of water. c) Bottle D holds 500 ml more than Bottle B. d) Bottle A holds twice as much as Bottle C. e) What is the total amount of water in these four bottles? 2 ½ litres Give your answer in litres. 26. This graph shows the distance travelled and the time taken by a tourist on a holiday. a) How many kilometres did he travel in: i) 3 hours? 150 km ii) 90 minutes 75 km b) How long did he take to travel: i) 50 km? 1 hour ii) 125 km? 2 ½ hours c) The tourist wants to travel 200 km. i) How long will he take? 4 hrs ii) Explain your answer. If he can travel 100 km in 2 hours, he can travel 200 km in 4 hrs. Page 8 of 8
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