The City School North Nazimabad Girls Campus Mathematics Question Bank Term

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1 The City School North Nazimabad Girls Campus Mathematics Question Bank Term FACTORS AND MULTIPLES Q1. List all factors of the following numbers and circle the prime factors. a) 120 b) 48 g) 24 h) 30 m) 42 n) 36 c) 50 i) 75 o) 25 d) 9 j) 66 p) 18 e) 15 k) 100 f) 7 l) 54 Q2. Find the common factors of the following numbers. a) 24,30,36 b) 20,30,40 d) 4,8,16 e) 12,18,24 g) 15,21,27 c) 10,25 f) 36,63,108 Q3. Find the prime factors of the following numbers. Express each number as a product of prime numbers, using indices (index notations) when needed. c) 72 d) 56 a) 12 b) 64 Q3.a) List all the factors of 40. b) List the prime factors of 40. c) Write 40 as a product of prime factors.(multiply out to check your answer) d) Write down the first three multiples of 40. Q4. 1, 4, 30, 45, 5, 9, 1500, 3, 10 From the list choose: a) The multiples of 15 b) The factors of 15 e) 144 f) 96 Q5. Use a factor tree to find the prime factors of 250. Write your answer: a) As a list of prime factors b) As a product of prime factors Q6. Write down all the prime numbers between 20 and 40 Q7. Which of the following numbers are prime numbers? 37, 49, 53, 81, 87, 93, 101 Q8. Write down a list of numbers between 80 and 90.Including 80 and 90. From your list: a) Two prime numbers b) Three multiples of 5 c) A factor of 348 Q9. List all the factors of: a) 20 b) 15 c) 12 d) 18 e) 8 f) 35 Q10. List the first six multiples of: a) 9 b) 12 c) 15 Q11.Write each of these using index notations.

2 a) 3x3x3x3 b) 7x7x7x7x7x7x7x7x7x5x5x5 c) 8x8x8x8x6x6x6x9x9x9x9x9x9 d) 4x4x4x4 x 4x4x4x4x4x4 Q12. Write each of these numbers in full and find its value. a) 3 5 c) 4 5 e) 4 3 b) 5 2 d) 10 7 f) Q13. Find all the common factors and H.C.F and L.C.M of each of the following sets and numbers. (a) 8 and 12 (c) 12 and 15 (e) 12 and 20 (b) 9 and 12 (d) 15 and 18 (f) 16 and 20 Find the H.C.F of each of the following set of numbers (a) 20 and 30 (c) 21 and 35 (e) 32 and 40 (b) 25 and 30 (d) 27 and 36 (f) 27 and 45 (a) 42 and 48 (b) 45 and 60 (e) 40 and 60 (b) 36 and 54 (d) 56 and 60 (f) 63 and 72 Q14. Find L.C.M of the following. a) 6,14 b) 3, 9, 10 c) 8,5, 10 Q15. Test for divisibility by 2, 3, 5 and 9. Explain your reasoning. Q16. Test for divisibility by 2, 3, 5, 6 and 9. Explain your reasoning. Q17. Calculate how many squares of side length 1 cm are there in squares with the following side lengths. a) 100 cm b) 11 cm c) 18cm d) 12 cm e) 13 cm f) 15 cm Q 18. Work out the square roots of the following numbers. Give positive roots. a) 225 c) 256 b) 324 d) 9801 Q19.Work out the positive square roots of the following decimals. a) 0.25 c) 0.64 b) 0.49 d) 0.81 e) 1.44 f) 1.69 Q20. How many 1cm x 1cm x 1cm cubes would make up cubes with the following side lengths? a) 4 cm c) 10 cm b) 6 cm d) 9 cm Q21. Work out the cube roots of the following numbers. a) 512 c) 729 b) 1000 d) 216 Q22. Work out the following: a) 25 b) 9 c) 121 d) 169 Q23.Write down : a) The square of 8 b) Square root of 16 c) 2 3 d) 81 Q24. Evaluate the following without using calculator. e) 100 f) 10 3

3 a) 1 9 b) 4 9 c) d) Q1.Write each of these integers in order, lowest first. a) +6, -3, + 9, -5, -1 c) +12, +43, -21, +56, -100 b) +9, -8, -2, +6,0, -3 d) +7, +3, -1, +65, Q2.Compare each pair of integers using the symbols >, < or =. a) d) b) e) c) f) Q3. Representation of Integers Statement Integer 1 ) Melanie lost 35 pounds after working out and dieting. 2 ) Melanie has to pay a 39 dollar penalty for driving too fast. 3 ) Jason picked 12 pears at the orchard. 4 ) Tim has 32 books in his library. 5 ) The stock market dropped 23 points after the bad economic news yesterday. 6) The temperature fell 27 degrees overnight. 7 ) There are 32 oak trees currently in the park. 8 ) Joan grew 14 carrots on his farm. 9 ) Tom went to 39 baseball games this year. 10 ) Sandy has 11 orange balloons in her collection. 11 ) Sally has 370 dollars in her bank. 12 ) Sally lost 22 quarters because she did not put the money in her piggy bank Q4.Find the new temperature for each of the following. a) The temperature is 5 0 C and rises by 15 0 C. b) The temperature is 8 0 C and rises by 12 0 C. c) The temperature is 20 0 C and rises by 10 0 C. d) The temperature is 3 0 C and rises by 8 0 C. e) The temperature is 3 0 C and falls by 15 0 C. f) The temperature is 8 0 C and falls by 12 0 C. g) The temperature is 4 0 C and falls by 5 0 C. h) The temperature is 5 0 C below zero and falls by 16 0 C. INTEGERS g) h) i) Q5. Work out the following: (-5) + (-4) = (-4) (-7) = (+6) - (-2) = (-3) + (+1) = (-18) (-6) = (+8) (+4) = (-4) + (-5) = (+8) (-2) = (-7) - (+2) = (-10) (+5) = (-20) (-7) = (+8) (+3) = (+9) + (-3) = (+3) (-1) = (+2) (-4) = (-40) (-8) = (+28) (+4) = (-40) (+5) = (-4) - (-1) = (+6) + (-5) = (-3) + (+9) = (-5) (+3) = (-3) (+3) = (+3) + (-8) = (-6) (-3) = (+50) (+10) = (+24) (+4) =

4 Q6. Copy and complete the following, writing in the missing numbers to make the calculations correct. a) x (+5)= +25 d) +6 x = 42 b) x ( 3)= 21 e) 7 x = 28 c) x ( 5)= 20 f) 8 x = +32 Q7. Copy and complete this multiplication grid x Q8.The table gives pairs of numbers x and y which add together to make 8. x + y = 8 Complete this table. x y Q9. If p + q = 3 Complete this table. p q Fractions Q10. Simplify the given fractions to its lowest term a) 20 c) b) 18 d) 108 e) f) Q10. How many sweets would be in a bag of 28 sweets after 1 4 of them had been eaten? Q11.One third of a class of 45 students has gone away on a field trip. How many students have gone on a trip? Q12. Arrange the following set of fractions in ascending order.

5 a) (c) Q. 13. Arrange the following set of fractions in descending order. (b) (d) a) (c) 2 1, 5 2 1, (b) (d) Word Problems Q1.A tropical fruit juice states on the label that it is made up of following fractions of fruits: orange, mango, apples, pineapples, grapes. Write down the fruits in ascending order of their proportion in the juice. Q2 Two schools hold their annual play on the same evening. At one school of the audience are children. At other of the audience are children. Which school has highest proportion of children in the audience? Q3- A teenager spends of his money on clothes. If he has $32, calculate how much he spends on clothes. Q4 Mrs. John has 3 cups of flour in the bag. She used 2 cups of flour to make a cake. How much flour was left in the bag? Q5. In a tennis match player A managed to get 13 of her first serves in. Which player got a higher proportion of her first serves in? DECIMALS Q1a.Convert each of the following fractions to decimals. 1 3 a) 20 c) 14 b) d) 25 of her first serves in. Player B managed to get e) f) Q1b.Put the fractions in part (a) in order of size, largest first. Q2. Convert each of the following decimals to fractions in its simplest form. a) 0.12 c) 2.75 b) d) 4.20 Q3. Write each of the following sets of decimals in order of size, smallest first. a) 3.66, , 3.06 c) 0.101, 0.01, 0.10 d) 0.32, 0.46, b) 0.303, 0.33, 0.403

6 Q4. Rewrite each sum vertically then carry out each operation: a) b) f) c) d) g) h) e) i) x 2.2 j) 9.56 x 3.1 k) 92.3 x 9 l) x 2.4 m) 2 4 n) 6 8 o) Q5.Calculate the following giving your answer as a decimal (non-recurring/terminating) a) 5 4 b) 26 8 c) d)

7 Q6.Find the cost of 6.5 m of cloth at $ per meter. Q7. Ali purchased 17.5 kg of sugar. He wants to put it in bags. If one bag contains 3.5 kg of sugar, find the number of bags required for this purpose. Q8.The product of two decimal numbers is , if one of them is 2.16, Find the other. Q9. The price of a book is $ 4.35 and that of a pen is $ 10.75, then find: a) What is the total of a book and a pen? b) How much more does the pen cost than the book? c) What is the cost of 15 books? d) What is the cost of 12 pens? Q10. Round the following numbers (i) to the nearest whole number and (ii) to one decimal place. (a) 6.37 (b) 4.13 (c) 0.85 (d) (e) (f) Q11. Round the following numbers (i) to the nearest whole number and (ii) to two decimal place. (a) (b) (c) (d) (e) (f) Q12 Round the following numbers (i) to the nearest whole number and (ii) to three decimal place. (a) (b) (c) (d) (e) Q13. Round each of the followings (i) to the nearest whole number, (ii) to one decimal place and (iii) to two decimal places. (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) Q14) A bridge can safely carry a weight of tonnes. Round this weight sensibly to a whole number of tonnes. Q15) A pilot needs to know the height of a mountain the aircraft is to fly over. The mountain is 6.35km high. Round this height appropriately: a) to a whole number of kilometers

8 b) to one decimal place. Q16) An aqualung will work safely to a depth of 67.3 meters. What rounded figure would you use as the safe working depth? 1. Fill in the blanks. STATISTICS a. The co-ordinates ( 1, 4) lies in the quadrant. b. The vertical axis is also known as the c. The point where x-axis and y-axix meet to form a right angle is known as d. A pictogram uses to represent statistics. e. The science of collection, organization and interpretation of data is. 2. The bar chart shows the value of a company over a number of years. a. What was the value of sales in:] i ii iii b. In which year was the value of sales $ ? c. Between which years was there the greatest increase in the value of sales? What was the increase in the value of sales? d. In 2005 the sales target was $ By how much did the company exceed its target? Express this as a percentage of the sales target. e. In 2006 the sales target was $ By how much did the company fall short of its target? Express this as a percentage of the value of sales in f. Find the total value of sales over the 6 years.

9 3. A study was made on the absenteeism in a School. As part of the findings, the table below shows the number of students present in a class of 42 for a week: Day Monday Tuesday Wednesday Thursday Friday Students Present a. Draw a chart to show the above information. b. On which day were no students absent? c. What fraction of students were absent on Friday? d. Was any student absent for the whole week? 4. Find the average temperature of a week from the given data. Friday Saturday Sunday Monday Tuesday Wednesday Thursday 26.5 C 28.4 C 27.9 C 27.5 C 25.5 C 27.2 C 26.0 C 5. Calculate the Mean, Median and Mode of the ungrouped data given below. Angles

10 b) i)find the supplementary angle in which one measures 120 degrees. ii)find the complementry angle in which one measures 55 degrees. SYMMETRY State the number of lines of symmetry (if any) for each of the shapes shown below

11 Regular pentagon