MATHEMATICS · 2020. 10. 31. · Express 34 035 g in kilograms. (1) 34.035 kg (3) 340.35 kg (2) 34.350 kg (4) 3403.5 kg ( ) 2. Round off 87.948 to 2 decimal places. (1) 87.90 (3)
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PAPER 1 (BOOKLET A) Questions 1 to 10 carry 1 mark each. Questions 11 to 15 carry 2 marks each. For each question, choose the correct answer and write its number (1, 2, 3 or 4) in the brackets provided. [20 m]
1. Express 34 035 g in kilograms.
(1) 34.035 kg (3) 340.35 kg (2) 34.350 kg (4) 3403.5 kg ( )
2. Round off 87.948 to 2 decimal places.
(1) 87.90 (3) 87.95 (2) 87.94 (4) 88.00 ()
3. Find 6__11of1210.
(1) 110 (3) 660 (2) 330 (4) 880 ()
4. How many minutes are there in 2 3__4h?
(1) 165min (3) 245min (2) 234min (4) 275min ()
5. Find the value of 120 – 45 + 3 × 4 ÷ 3.
(1) 71 (3) 96 (2) 79 (4) 104 ()
6. Samantha bought 3.2 kg of fish at $4 per kg. How much did she pay for the fish?
8. In the figure below, not drawn to scale, find ∠x.
108º
75ºx
(1) 30º (3) 72º (2) 36º (4) 105º ()
9. Below shows a solid.
Which of the following shows the correct net of the above solid?
(1) (3)
(2) (4)
()
10. For every 3 bowls of herbal chicken soup, Aunt Tricia needs 45 g of herbs. If she needs to brew 72 such bowls of herbal chicken soup, how much herbs does she need?
13. The figure below is made up of a rectangle, a triangle and a square. What is the area of the figure?
26cm
10cm
4cm
(1) 212cm2 (3) 520cm2
(2) 242cm2 (4) 1040cm2 ()
14. Gary travelled at an average speed of 80 km/h to Town X. He took 6 hours to reach Town X. How long did Albert take to travel to Town X if he travelled at
3__4 of Gary’s average speed?
(1) 2h (3) 41__2h
(2) 3h (4) 8h ()
15. Darryl left his house at 7.30 am. The distance between his house and his office was 100 km. At what time would Darryl arrive at his office if he drove at an average speed of 75 km/h?
PAPER 1 (BOOKLET B) Questions 16 to 25 carry 1 mark each. Questions 26 to 30 carry 2 marks each. For questions 26 to 30, show your working clearly in the space given. Write your answers on the lines provided. For questions that require units, these units are provided. Give your answers in the stated units. [20 m]
The bar graph below shows the number of books read by five girls in a month. Study it carefully and answer questions 16 to 18.
18
16
14
12
10
8
6
4
2
Sandy Emily Sue Joan Rina
numberof books
16. How many more books did Emily read than Sue?
Ans: more
17. Find the ratio of the number of books read by Sue to the total number of books read by the five girls.
Ans:
18. If the five girls read the same number of books every month, how many books do they read altogetherin3months?
19. Christine is 4 years older than her sister. If her sister is 4x years old, how old will Christine bein5years’time?
Ans: yearsold
20. State if the unit shape shown below can be tessellated.
Ans:
21. Complete the symmetric figure below.
Ans:
22. Find ∠m.
m Ans: º
23. A toy car costs $98 and a toy yacht costs $104. Tony wants to buy both toys. However, he has only $67. How much more money does Tony need in order to buy both toys?
25. Joyce travelled 3 hours from Town X to Town Y at an average speed of 80 km/h. She then travelled 2 hours from Town Y to Town Z at an average speed of 75 km/h. Find the total distance between Town X and Town Z.
Ans: km
26. Margaret saves 95 cents every day. How much will she save in 3 weeks?
Ans: $
27. The figure below is made up of two similar equilateral triangles and a rectangle. Find the perimeter of the figure.
23cm 23cm
69cm
11cm
Ans: cm
28. Thelengthofthesidesofatriangleisintheratio3:5:9.Ifthesumofthelongestandtheshortest sides is 48 cm, find the perimeter of the triangle.
Ans: cm
29. David drove at an average speed of 72 km/h from 8 am to 11.30 am. How far did he drive?
Ans: km
30. A rectangular tank contains 12.5 l of water. If the base area of the tank is 500 cm2, find the height of the water level in the tank. (1 l=1000cm3)
PAPER 2 Questions 1 to 5 carry 2 marks each. Show your working clearly in the space given. Write your answers on the lines provided. For questions that require units, these units are provided. Give your answers in the stated units. [10 m]
1. The figure below is made up of four identical squares. Find its perimeter.
80cm
Ans: cm
2. Uncle Smith has 2 shops. The earnings for shop B is 20% more than that of shop A in February. If the earnings for both shops is $15 840, what is the earnings for shop A in February?
Ans: $
3. The average of 6 consecutive numbers is 47.5. What is the total of the first 3 numbers?
Ans:
4. Joshua drove from City A to City B at an average speed. He took 6 hours to travel 3__4ofthe
journey. If he travelled the remaining 120 km at the same speed, find his average speed for
the whole journey.
Ans: km/h
5. Find the area of 3 quadrants of radius 35 cm. (Take p=22__7)
For questions 6 to 18, show your working clearly in the space and write your answers on the lines provided. The number of marks available is shown in brackets [ ] at the end of each question or part-question. [50 m]
6. Sandra had thrice as many stickers as Joan. Joan had 80 stickers more than Geraldine. If Geraldine had 24 stickers, how many stickers did they have altogether? [3]
Ans:
7. The rectangular tank shown below is 40% filled with water. Find the volume of water in the tank. [3]
8. When a bag of rice was 0.8 full, its mass was 1.8 kg. Some rice was removed from the bag. The bag of rice, now half-full, had a mass of 1.2 kg. Find the mass of the bag. Express the answer in grams. [3]
10. At a club, the ratio of the number of adults to the number of children was 7 : 2. The ratio of thenumberofmentothenumberofchildrenwas5:2.
(a) Express the ratio of the number of women to the number of children in its simplest form. [1]
(b) There were 48 more men than women. How many people were at the club? [2]
Ans: (a)
(b)
11. The figure below shows a right-angled triangle and a square overlapping a circle. Oisthecentre of the circle. Find the area of the unshaded part. (Take p = 3.14) [4]
13. During a sale, all the items in an electrical shop were sold at a 25% discount. Mr Fields bought a television set for $1905 and a microwave oven for $270. What was the total price of the television set and the microwave oven before the discount? [4]
Ans:
14. The figure below is made up of a square, a circle and a right-angled triangle enclosed in the circle. Find the area of the shaded parts of the figure if Oisthecentreofthecircle.
15. Jason travelled from Town P to Town Q at an average speed of 72 km/h. Ethan travelled from Town Q to Town P at an average speed of 80 km/h. If Jason and Ethan left the respective towns at the same time and met each other along the way after travelling for 3 hours, find the distance between the Town P and Town Q. [4]
Ans:
16. Mr Brown and Mr Smith left City A and City B respectively and drove in opposite directions at 9 am. Mr Brown travelled at an average speed of 72 km/h while Mr Smith travelled at 18 km/h faster than Mr Brown. How far apart were City A and City B if they met each other at 11.30 am? [5]
18. Chris has a wooden rectangular block measuring 48 cm by 54 cm by 40 cm.
(a) He wants to cut some 4cm cubes from the wooden rectangular block. What is the maximum number of such cubes that he can cut? [2]
(b) He decides to cut 3 similar rectangular cuboids measuring 15 cm by 10 cm by 5 cm from the wooden block instead. What is the volume of the remaining wooden block? [3]
100%+100%+20%=220% 220%→$15840 1%→$72 100%→$72003. 138 47.5×6=285 0+1+2+3+4+5=15 285–15=270 270÷6=45 The first 3 numbers are 45, 46 and 47. 45+46+47=138