The City School PAF Chapter Prep Section Mathematics Class 7 Worksheets for Intervention Classes
Topic: Algebra 1 Q1 Encircle the correct option. 1. A scarf y meters long is cut in two equal pieces. The length of each piece is a) 2y b) c) y + 2 d) y + ½ 2. Which expression represents "eight less than the product of five and a number"? a) 8 5n b) 8 5 + n c) 8 (5 + n) d) 5n 8 3. The product of two numbers 2p and 7p is a) 2p x 7p b) 2(p x 7) c) 14p d) (2 x 7) p 4. The days in n weeks can be represented as a) 7 + n b) 7 x n c) 7n d) 5. The length of a side of square is given as 2x + 3. Which expression represents the perimeter of the square? a) 2x + 16 b) 6x + 9 c) 8x + 3 d) 8x + 12 The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 2 of 21
Q2 Fill in the blanks with an appropriate answer. a) The speed of car is 55 km/hrs. The distance covered in y hours can be represented in algebraic expression as. b) 5a and 5b are terms. c) How many minutes are there in m hours? d) Sum of 2q and 7p is. e) Construct a formula for the given statement. The cost of m eggs at 12 cents each. Q3 If S = 4 r 2, find S when r = 10 ½ and = 3.142 Q4 If x + 3 =, find x when y = 8 and z = 2 Q5 Q6 Q7 When a number is doubled and 5 is subtracted from the result, the answer is 37. What is the number? The sum of two numbers is 120. If the larger number is four times the smaller number, what are the two numbers? When loaded with bricks, a lorry weighs 11,600 kg. If the bricks are three times as heavy as the empty lorry, find the weight of the bricks. The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 3 of 21
Topic: Algebra 2 Q1. Encircle the correct option. i) Lame and Jane have $42 altogether. If Lame has $y, then Jane has a) $(42 + y) b) $(42 - y) c) $(y - 42) d) $(42 y) ii) In a class, the average age of m boys is a years and n girls b years. The average age of class is. a) b) c) d) a b 2 a b m n ab mn am bn m n iii) If 5 pencils cost x cents, then the cost of y similar pencils in $ is. a) b) c) d) xy 5 xy 500 xy 20 x 20y iv) The sum of the ages of two brothers is 11. Elder brother is 10 years older than younger brother. The younger brother is years old. a) 1 b) 10 c) 11 d) 21 The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 4 of 21
Q2. Fill in the blanks. a) In the term 3n, n is the and 3 attached to it is called of the term. Q3 b) Sum of two consecutive numbers is 100. If first number is x, second number will be. c) Open sentences which use the symbol = are called. d) Mr. Ghazi is three times as tall as his son, Ali. If Ali is x m tall, then Mr. Ghazi is m tall. e) There are days in n weeks. f) If x = 3 and y = 4, the value of 3xy is. If the current temperature is 9 o. Write a simple equation to find the new temperature? If the temperature: a) falls by 5 degrees b) rises by 5 degrees c) decreases by y degrees d) increases by z degrees Q4 Find a, as the sum of 2a and 15 is divided by 7, the result is 11. Q5 Q6 Q7 A man buys r shirts at $p each and sells them at $q each. What is the profit? Give your answer in terms of p, q and r. If xy x y, find x, when y = 3, p = 2 and q = 4. p q A class of 44 pupils sat for a test in a Mathematics. If the number of pupils who passed the test is three times the number of pupils who failed, find the number of pupil who passed the test? Q8 What are the four consecutive numbers whose sum is 50? Q9 Q10 Q11 Susan is 10 years older than her brother. In three years time, she will be twice as old her brother. What are their present ages? The length of the rectangular field is 7cm longer then its width. If the perimeter of the rectangle is 74cm, find the length and area of the rectangle? 2 3 If the product of two numbers is 2. If one number is, find their sum. 3 5 The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 5 of 21
Topic: Ratio and percentage Q 1 Fill in the blanks. a) After 6% deduction in bill, $282 still remains to be paid. The original bill was. b) 80% of 15 is. c) Express 15 as percentage of 80.. Q 2 The height of a tree was 4.8m. After one year the height of the tree was increased by 125%, find the new height. Q 3 The workers of an electronic company were given an increment of 8% in their monthly salaries: a) If Peter earned $1800 per month originally find his monthly salary after the increment b) If Paul s monthly salary after the increment is $1728, find his original monthly salary. Q 4 Express the following in simplest ratios. i) 4 hours to 100 minutes ii) Divide 72 in the ratio 1:2. The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 6 of 21
Q 1 Q 2 Topic: Direct and Inverse Proportion If a class has 44 seats in 4 rows then how many seats will it have it 2 rows? A. ¼ of the total number of seats B. ½ of the total number of seats C. Twice the total number of seats D. 1/3 of the total number of seats Fill in the blanks. a) Two quantities x and y are said to be in if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant. b) Each truck can carry 3 boxes. Write this ratio as a fraction. c) In inverse proportion, when one quantity increases the other quantity. Q 3 State whether the statements are True or False. a) The number of workers and the speed to complete a job is a case of direct proportion. b) Length of a square and its area vary directly with each other. c) If a car is travelling 216 miles in 1 hour then it will cover 108 miles in 2 hours. Q 4 Find the cost of 8 books when 6 books cost $48. Q 5 Find the cost of 10 kg of tea when 3kg of tea cost $18 Q 6 Q 7 Q 8 Q 9 A truck needs 54 litres of diesel for covering a distance of 297 kilometers. The diesel required for the truck to cover the distance of 550 kilometer is The cost of 5 meters of a particular quality of cloth is Rs. 210. Find the cost of 15 meters of cloth of the same type. 8 workers can paint a building in 24 days. How many days will 18 workers take to paint the same building? A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours? Q 10 Ahmed takes 175 minutes to drive home at 80 km/hr. How long will it take to drive home at 100 km/hr? Q 11 28 shirts and 24 pants are there in the cupboard. Find the a) ratio of shirts to pants b) ratio of pants to the total items in the cupboard c) ratio of shirts to the total items in the cupboard Q 12 If 270 kg of corn would feed 42 horses for 21 days, for how many days would 360 kg of it feed 21 horses? Q 13 50 kg of grade A coffee beans is mixed with 100 kg of grade B coffee beans. What will be the weight in kg of grade B coffee beans in 60 kg of the mixture? The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 7 of 21
Topic: Volume and Surface Area Q1 Q 2 Encircle the correct option. a) 500 litres is same as A. 5,000 cm 3 B. 50,000 cm 3 C. 500,000 cm 3 D. 500,0000 cm 3 b) 1 ml is equivalent to A. 0.1 cm 3 B. 1 cm 3 C. 10 cm 3 D. 100 cm 3 Fill in the blanks. a) 1000 cm 3 = litres b) There are cm 3 in a m 3. Q 3 Express 3600 ml in mm 3. Q 4 Find the width of a cuboid, if volume is 64cm 3, length is 2cm and height is 8cm. Q 5 If the surface area of a cube is 24cm 2, find length of a cube. Q 6 An open rectangular tank of length 12 cm, width 8 cm and height 16 cm contains water up to a height of 8 cm. Calculate: a) The volume of water in litres ; b) The total surface area of the tank that is in contact with the water. Q 7 Q 8 The length is 8 cm, width is 12 cm and surface area is 426 cm 2 of a cuboid. Find; a) the volume and b) height Find the capacity in litres of a rectangular tank if the height of the tank is 0.15 m, length is 0.24 m and width is 0.19 m. Q 9 Find the total surface area of a solid cube of volume 125 cm 3 The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 8 of 21
Topic: Statistics 1 Q 1 Encircle the correct option. [2] Q 2 i) The average of 2, 3, 4, 7 is ii) A 4 B 16 C 64 D 7 The total number of degrees in a pie chart is A 180 o B 360 o C 270 o D 90 o Fill in the blanks. a) Mean is also known as b) The most suitable graph to show the data that changes with time is called graph. c) The relative quantities by areas of sectors of a circle is represented by Q 3 The number of new cars sold per month is given below Months Jan Feb Mar Apr May June July No. Cars 23 15 48 28 17 28 16 a) Use the data to calculate i. Mode ii. Mean _ b) Illustrate the information on a bar graph. The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 9 of 21
Q 4 The pie chart shows the number of doctors, domestic staff and nurses in a certain hospital. Doctors Xᵒ Nurses 7xᵒ 200ᵒ Domestic Staff a) Calculate the value of x. b) If there are 35 doctors in the hospital, how many i. nurses are there in the hospital? ii. domestic staff is in the hospital? c) Calculate the percentage of domestic staff. The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 10 of 21
Q 5 Each student in a group of 240 was asked to choose his favourite subject from Mathematics, English, Geography. The result is represented by a pie chart given below. Mathematics 120ᵒ 3xᵒ 2xᵒ Geography English Calculate: a) the percentage of Mathematics b) the number of pupils who chose Mathematics The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 11 of 21
Topic: Statistics 2 Name: Section: Date: Time: Q 1 Encircle the correct option. a) The list shows the number of miles Sana hiked on each of 7days, 1.6, 3.1, 1.5, 2.0, 1.1, 1.8, 1.5. What was the mean number of miles she hiked each day? A. 1.5 miles B. 1.6 miles C. 1.8 miles D. 2.0 miles b) The following bar graph shows different kinds of pet owned by people in a certain area. Which is the most popular pet among the people? A. Rabbit B. Dog C. Goldfish D. Cat The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 12 of 21
c) Which is the least popular pet among people? A. Rabbit B. Dog C. Goldfish D. Hamster Q 2 Fill in the blanks. a) Ann wore following color of shoes in a particular week: Blue, red, green, blue, black, brown, blue. Ann wore colored shoes most frequently. b) 2, 5, 4, 6, 2, 3, 4, 4, 1 The mean, median and mode for the above data will be,, respectively. Q 3 The weekly salaries of six employees at McDonalds are $140, $220, $90, $180, $140, $200. For these six salaries, find the: a) mode b) mean Q 4 c) median A sample of six students were randomly selected and asked, "How many times did you check your email yesterday?" The numbers were: 3, 0, 8, 2, 6, 2. Find the mean and mode. The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 13 of 21
Q 5 The pie chart below shows the students attendance at Central Middle School Fall Festival. a) What percent of Grade 7 Girls attended the festival? b) Find the angle subtended by the sector of Grade 7 boys? c) There were 32 girls of Grade 7 who attended the festival. What was the total number of students who attended the festival? d) Hence, find the number of Grade 6 and Grade 8 boys who attended the festival? The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 14 of 21
Q 1 Encircle the correct options. Topic: Statistics 3 i) A graph in which different sectors represents various quantities are called? A. Histogram B. Line graph C. Bar graph D. Pie chart ii) The mode of the data 2, 2, 2, 3, 3, 4, 5, 5, 5, 6, 6, 8 is A. 2 B. 5 C. 8 D. 2 & 5 both iii) What will be the mean of 7, 7, 8, 9? A 11.5 B 15.5 C 10.5 D 7.75 iv) Find median of 6 9 3 2 1 4 5 A 3 B 5 C 4 D 2 Q 2 Fill in the blanks. a) In a pie chart,all the angles of sectors add up to b) Median is value of the date. c) The median of first ten odd numbers is. d) A graph uses pictures to represent statistics. e) The mean of the first five whole numbers is. f) If the mean of six numbers is 51, then the sum of these six numbers is Q 3 The following are the heights (in meters) of a group of basketball players. Find the 1.8, 1.8, 1.9, 2.0, 1.7, 1.8, 1.9, 1.6, 2.0, 1.8, 1.9,1.2 a) mean height of the group, correct to one decimal place b) median of the given data c) mode of the data The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 15 of 21
Q 4 The following pie chart shows a survey of the number of cars, buses and motorcycles that pass a particular junction. There were 150 buses in the survey. a) Calculate the total number of vehicles in the survey. b) What percentage of vehicles passing by the junction were cars? c) How many cars were in the survey? Q 5 In a Zoological Park there are 1000 creatures as per the following table given below. Represent the above data by a histogram. Amphibians Mammals Birds Fish Reptiles 150 400 225 175 50 Q 6 Read the following bar graph which shows the number of books sold by a bookstore during five consecutive years and answers the question given bellow 700 600 500 400 300 200 100 0 1989 1990 1991 1992 1993 a) How many books were sold in 1989? b) In which year were 600 books sold? c) In which year fewer than 200 books were sold? d) How many books were sold from 1989 to 1991? The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 16 of 21
Topic: Ratio and Volume Q 1 Choose the correct answer. i) In what ratio 30m 3 must be decreased to become 15m 3? a) 2:1 b) 3:6 c) 1:2 ii) The cost of mutton increases from $15 to $45. The increased ratio is a) 15:45 b) 45:15 c) 5:1 Q 2 Fill in the blanks. a) 2.56 cm 3 = liters b) 673 liters = m 3 c) 11% of $ 400 = Q 3 Do as directed. a) The Volume of a cube is 343m 3. Find the side of a cube. b) The regular selling price of an item at Shop is $32. The shopkeeper increases the price in the ratio 5: 4. Find the increased price. c) If it takes7 hours to fill 3 gallons. How many gallons can be filled in 20 hours? The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 17 of 21
d) The school has increased its student body from 150 students to 240 from last year. Find the increased percent. e) Express 0.75m, 25km as ratio in its simplest form. Q 4 An open rectangular tank of length 4m, width 9m and height 7m contains water up to a height 3m. Calculate: a) The volume of water in liters. b) The total Surface area of the tank that is in contact with the water. The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 18 of 21
Topic: Miscellaneous Q 1 Choose the correct option. I. The solution of 5 2y = 7 is a) 1 b) 2 c) 1 d) 3 II. Base angle in the given isosceles triangle is 70 O, third angle is a) 70 o b) 60 o c) 50 o d) 40 o III. 400 cm 2 expressed in m 2 is a) 4 b) 0.4 c) 0.04 d) 0.004 IV. The ratio of 0.4 to 2 in simplified form is a) 0.2 : 1 b) 4 : 20 c) 2 : 10 d) 1 : 5 V. If a typist types 900 words in 1 hour, his rate of typing in words per minute is a) 30 b) 15 c) 10 d) 5 The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 19 of 21
VI. Order of rotational symmetry for a pentagon is a) 5 b) 10 c) 15 d) 20 VII. In the given right triangle, value of missing angle x is a) 35 o b) 45 o c) 55 o x d) 65 o 155 o VIII. A parallelogram has lines of symmetry a) 0 b) 1 c) 2 d) 4 IX. The sum of four angles of a quadrilateral is a) 450 0 b) 360 0 c) 280 0 d) 180 0 Q 2 Find the percentage increase if cost price is raised from $600 to $624 The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 20 of 21
Q 3 Write an algebraic expression involving x for each of the following: i. Six times of a certain number is 16 more than twice the number. ii. When a number is decreased by 2 and the result multiplied by 3, the final result is 24. iii. The sum of two consecutive odd numbers is 64. Q 4. If V= 1/3 Ah, find A when V= 42 and h= 6. The City School /PAF Chapter / Prep Section / Worksheet for Intervention Class /Mathematics /Class 7 Page 21 of 21