The City School PAF Chapter

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1 The City School PAF Chapter ANSWER KEY May 2018 MATHEMATICS Class 7 The City School/ PAF Chapter/ ANSWER KEY/ May 2018/ Mathematics / Class 7 Page 1 of 10

2 SECTION A Q1. Encircle the correct option. [ /10] 1. The ratio of Rs 8 to 80 paisa is a. 1:10 b. 10:1 c. 1:1 d. 100:1 2. The sum of exterior angles of a polygon is a. 180 b. 270 c. 360 d Which of the following letters of English alphabets has more than 2 lines of symmetry? a. Z b. O c. E d. H 4. In what ratio must 54 be decreased to become 42? a. 7 : 9 b. 9 : 7 c. 7 : 6 d. 9 : 6 5. How much water is required to fill a tank which has a capacity of 6 litres when 3500ml is already there in the tank? a litres b. 3000ml c litres d ml 6. The mode of the data 13, 16, 12, 14, 19, 12, 14, 13, 14 is a. 16 b. 12 c. 14 d. 13 The City School/ PAF Chapter/ ANSWER KEY/ May 2018/ Mathematics / Class 7 Page 2 of 10

3 7. Sam scored 2 goals in the first and 4 goals in the second match, the percentage increase in goals scored is a. 100% b. 75% c. 50% d. 25% 8. England is 5 hours behind Pakistan. When it is midnight in Pakistan the time in England is a. 12 am b. 12am c. 7 pm d. 6 pm 9. The simplest form of the ratio 24 : 48 : 6 is a. 12 : 24 : 6 b. 8 : 16 : 2 c. 4 : 12 : 1 d. 4 : 8 : The sum of two complementary angles is a. 180 b. 90 c. 270 d. 360 Q2a. From the given figure find the value of the stated angles [ /05] If a= 60 o and e=100 o a b e f i= 60 o c d g h l= 60 o i j m n g= 80 o k l o p h= 100 o o = 80 o The City School/ PAF Chapter/ ANSWER KEY/ May 2018/ Mathematics / Class 7 Page 3 of 10

4 Q2b. Write down the order of rotational symmetry for the following figures. [ /05] Four Six Four Two Five Q3a. Find the side of a solid cube of volume 196 cm 3. [ /03] Volume = length 3 1 mark 196=l = l 3 1 mark 14 = l 1 mark Q3b. An overnight train left at on a journey that took 8 h 18 min. Find the time at which it arrived at its destination. [ /02] The train arrived at its destination at 5 13 am. The City School/ PAF Chapter/ ANSWER KEY/ May 2018/ Mathematics / Class 7 Page 4 of 10

5 Q3c. Ahmed and Ali had 90 balloons altogether. Ali had twice as many balloons as Ahmed. How many marbles does each boy have? [ /03] x+2x = 90 3x = 90 x = 30 Ahmed 30 balloons Ali 60 balloons Q3d. When a number is decreased by 2 and the result multiplied by 3, the result is 24. Find the number. [ /02] (x-2)3 = 24 3x-6 = 24 3x = x = 30 x = 10 Q4a. The sides of two squares are 3cm and 6cm respectively. Find the ratio of their areas. [ /05] Area of 1 st square = 3 2 = 9 cm Area of second square = 6 2 = 36cm Ratio: 9 : 36 1 : 4 Q4b. 10 cm of a certain type of piping costs $6. What is the cost of 1 m of such piping? [ /02] Rate: 6 10 = $ 0.6/cm Conversion: 1m= 100 cm Cost of 1m: = $60 Q4c. The cost of the bag is 40% more today than when it was first bought. What is the price today if the original price was $200? [ /03] = $ 80 Price today: = $480 Q5a. Calculate the sum of interior angles for a 15-sided polygon. [ /03] (n-2) 180 (15-2) Q5b. Calculate the size of each angle. [ /02] The City School/ PAF Chapter/ ANSWER KEY/ May 2018/ Mathematics / Class 7 Page 5 of 10

Q5c. Find the value of x in the given figures: [ /05] y+ 127 + 148 =360 (set of two interior angles) y = 85 34 + x = 79 x = 45 SECTION B

The pie chart below shows the amount of money collected by the various stalls. i. Find the sum of the money collected by the game stall.

6 Q5c. Find the value of x in the given figures: [ /05] y =360 (set of two interior angles) y = x = 79 x = 45 SECTION B Q6a. A community centre organized a racial harmony fair through which it collected a sum of $5880. The pie chart below shows the amount of money collected by the various stalls. i. Find the sum of the money collected by the game stall. [ /03] $1470 ii. Find the percentage of the food stall. [ /02] % The City School/ PAF Chapter/ ANSWER KEY/ May 2018/ Mathematics / Class 7 Page 6 of 10

Q6b. Draw the graph of the given linear equation y=x - 1. [ /04] x -1 0 1 2 y -2-1 0 1 Q6c.

Find the unknown angles: [ /05] Solution: a= 58 (alt angle) b= 48 (alt angle) 48 +58 +c = 180 (sum of anges in a

7 Q6b. Draw the graph of the given linear equation y=x - 1. [ /04] x y Q6c. What is the gradient of the function y = x - 1. [ /01] 1 is the gradient Q7a. Find the unknown angles: [ /05] Solution: a= 58 (alt angle) b= 48 (alt angle) c = 180 (sum of anges in a triangle) c =180 C= C = 74 d + 58 =180 (straight line angles) d= d= 122 The City School/ PAF Chapter/ ANSWER KEY/ May 2018/ Mathematics / Class 7 Page 7 of 10

8 Q7b. Bisect a line PQ of 10 cm using compass. [ /02] Q7c. Bisect an angle of 80. [ /03] Q8a. External dimensions of a wooden cuboid are 30 cm 25 cm 20 cm. If the thickness of the wood is 2 cm all around, find the volume of the wood contained in the cuboid formed. [ /06] Solution: External length of the cuboid = 30 cm External breadth of the cuboid = 25 cm External height of the cuboid = 25 cm Therefore, External volume of the cuboid = ( ) cm³ = cm³ Therefore, Internal volume of the cuboid = ( ) cm³ = 8736 cm³ Therefore, Volume of wood = External Volume - Internal Volume = cm³ cm³ = 6264 cm³ The City School/ PAF Chapter/ ANSWER KEY/ May 2018/ Mathematics / Class 7 Page 8 of 10

9 Q8b. Find the surface area of the given cube. [ /04] Surface Area: 6l 2 = 6 (8 8) = 6 (64) = 384 cm 2 Q9a. A car leaves Hyderabad at 10:15 pm on Wednesday and arrives at Karachi 3 ½ hours later. At what time does the car arrive at its destination? [ /05] Departure Time: 10: 15 pm in 24 hour clock is Journey time: 2 hours 30 minutes Arrival time:? Arrival Time = departure time + journey time The car arrived at 12: 45 am Q9b. If c = a b e, find c when a=2, b= 3 and e = 5 [ /05] c = c = 10 3 c = Q10a. A new house costs $ After one year, its value increased by 20%. For the second year, its value increased a further 15%. What is the value of the house after second year? [ /05] After first Year: $18000 After second Year: $20700 The City School/ PAF Chapter/ ANSWER KEY/ May 2018/ Mathematics / Class 7 Page 9 of 10

10 Q10b. If 6 men working 5 hours a day can reap a field in 30 days. In how many days will 10 men reap the field if they work for 10 hours a day? [ /05] Men Days Hours x 10 9 days The City School/ PAF Chapter/ ANSWER KEY/ May 2018/ Mathematics / Class 7 Page 10 of 10

Maths Revision. Book 2. Name:.

Maths Revision. Book 2. Name:. Maths Revision Book 2 Name:. Number Fractions Calculating with Fractions Addition 6 + 4 2 2 Subtraction 2 Subtract wholes first 0 2 + 9 2 2 2 Change one whole into thirds 9 2 + + 2 7 2 2 Multiplication