NSP-111-241008-193519

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1.  The average height of Alex, Bill and Colin is 176 cm. Colin's height is 1.2 times of Bill's height. If Alex's height is half of the total height of Bill and Colin, find Colin's height in metres.

   A)1.91 m
   B)1.92 m
   C)1.93 m
   D)1.94 m
   

2.  A retailer bought a DVD player for ＄120. He marked it at 25% higher than what he had paid for. He sold the DVD player at ＄12 less than the marked price. At what price did he sell the DVD player?

   A)＄133
   B)＄138
   C)＄145
   D)＄150
   

3.  The pie chart below shows the different types of animals in a pet shop.
   
   If there are 20 more cats than hamsters, how many animals are there in the pet shop altogether?

   A)35
   B)50
   C)80
   D)700
   

4.  Peter and John has some stamps. Peter gave away `3/8` of his stamps and John gave away `1/2` of his. They then had the same number of stamps left. The total number of stamps left was 540. What was the total number of stamps the boys had at the beginning?

   A)54
   B)432
   C)540
   D)972
   

5.  The amount of water in the cylinder is _________ ml.
   
   

   A)550 ml
   B)540 ml
   C)520 ml
   D)530 ml
   

6.  If 2 packets of flour and 1 packet of sugar weigh 5.5 kg, what is the mass of 6 packets of flour and 3 packets of sugar?

   A)16.5 kg
   B)17.5 kg
   C)18.5 kg
   D)19.5 kg
   

7.  For every ＄4 Mandy saves, Eunice saves ＄5 and for every ＄3 Eunice saves, Sandy saves ＄2. How much does Sandy save if the three of them save ＄1 850 altogether?

   A)＄150
   B)＄260
   C)＄430
   D)＄500
   

8.  Mary bought some blue and red counters at a stationery shop in her neighbourhood. `2/3` of the counters she bought were blue and the rest were red. Later, she gave away `3/4` of the blue counters and `1/4` of the red counters and had 100 counters left. How many counters did she buy at first?

   A)210 counters
   B)220 counters
   C)230 counters
   D)240 counters
   

9.  The difference between 2 numbers is 8. The average of the two numbers is 37. What is the bigger number?

   A)25
   B)33
   C)41
   D)45
   

10.  Mr Lee left Town X in a van at 8.30 a.m. and travelled at a constant speed of 50 km/h. Three hours later, Mr Wee took the same route by car and travelled at a constant speed. After travelling 300 km, Mr Wee caught up with Mr Lee.
    (a) What is Mr Wee's speed?
    (b) How far apart would they be at 1.30 p.m.?

    A)(a) 90 km/h (b) 50 km
    B)(a) 90 km/h (b) 60 km
    C)(a) 100 km/h (b) 50 km
    D)(a) 100 km/h (b) 60 km
    

11.  The figure below consists of three squares A, B and C whose areas are in the ration 10 : 5 : 4 respectively.
    
    Given that `3/10` of Area B is shaded, what fraction of the figure is unshaded?

    A) `21/25`
    B) `22/25`
    C) `23/25`
    D) `24/25`
    

12.  Which of the following are nets of a cube?
    
    

    A)M and N
    B)N and P
    C)N and O
    D)M and P
    

13.  A wooden crate with 5 watermelons has a mass of 5.4 kg. The average mass of the five watermelons is 0.92kg. What is the mass of the wooden crate?

    A)0.6 kg
    B)0.7 kg
    C)0.8 kg
    D)0.9 kg
    

14.  A rectangular tank with dimensions 80 cm by 40 cm by 60 cm was `1/3` filled with water. Ten identical iron balls were put into the tank and the height of the water increased by 25%. When more water was added, there was a further increase of 15% in the height of the water.
    
    Find the
    (a) volume of each iron ball
    (b) the final total volume of the water and 10 iron balls in the tank.

    A)(a) `1 500 cm^2` (b) `90 000 cm^2`
    B)(a) `1 500 cm^2` (b) `92 000 cm^2`
    C)(a) `1 600 cm^2` (b) `90 000 cm^2`
    D)(a) `1 600 cm^2` (b) `92 000 cm^2`
    

15.  The figure is made up of 25 squares of side 2 cm. What fraction of the figure is unshaded?
    
    

    A) `31/50`
    B) `32/50`
    C) `33/50`
    D) `34/50`
    

16.  Mr Chin shared ＄130 among his three children. The first child received ＄m and the second child received ＄30 more than the first child. How much money did the third child receive?

    A)＄(100 - m)
    B)＄(100 - 2m)
    C)＄(100 - 2m + 30)
    D)＄(160 - 2m)
    

17.  The net of a cube is shown below. Which is the face that is directly opposite F?
    
    

    A)A
    B)B
    C)C
    D)E
    

18.  What is the maximum number of 4 cm cubes that can be packed into a rectangular box measuring 18 cm by 13 cm by 4 cm?

    A)11 cubes
    B)12 cubes
    C)13 cubes
    D)14 cubes
    

19.  The figure below shows 2 identical circles with centre P and centre Q and two rectangles, EFGH and PQRS. If EA = EF = BH = GH and PQ = 28 cm, find the (a) total area of the shaded parts (b) perimeter of the shaded parts of the figure
    
    

    A)(a) `550 cm^2` (b) 227 cm
    B)(a) `550 cm^2` (b) 228 cm
    C)(a) `560 cm^2` (b) 227 cm
    D)(a) `560 cm^2` (b) 228 cm
    

20.  The sales proceeds collected by 5 stalls were recorded in the table below.
    

    Stall	A	B	C	D	E
    Sales proceeds	＄ 1208	Not recorded	＄2 500	＄1 880	?

    
    The average sale proceeds from stalls B and c was ＄3 568. How much did stall E collect if the average collection for the 5 stalls was ＄2 950?

    A)＄4 516
    B)＄4 526
    C)＄4 536
    D)＄4 546
    

21.  What is the value of 35 - 25 ÷ 5 + 6 x 4?

    A)26
    B)32
    C)54
    D)61
    

22.  There are 36 girls in a class. In how many ways can a teacher divide the class such that there is an equal number of girls in each group if there is more than one group and fewer than 36 groups?

    A)7 ways
    B)6 ways
    C)5 ways
    D)4 ways
    

23.  Three pupils, A, B and C, worked together to paint a mural. If the painting was done by Pupil A only, the time needed to complete the task is 6 hours. If the painting was done by Pupil B only, the time needed for completion is 8 hours. If the painting was done by Pupil C only, the time needed is 12 hours. What is the total time taken for the three pupils to complete the mural altogether? (Leave your answer in its simplest form)

    A) `2 1/2` h
    B) `2 1/3` h
    C) `1 2/3` h
    D) `2 2/3` h
    

24.  Peter has an object weighing 1.6 kg. The object is mostly to be a/an __________.

    A)apple
    B)durian
    C)tennis ball
    D)exercise book
    

25.  Madeline uses 25 litres of water and 15 litres of lemon juice to make lemonade. What percentage of the lemonade is the lemon juice?

    A)36.5%
    B)37.5%
    C)38.5%
    D)39.5%
    

26.  There were some exercise books and files in a box. The number of exercise books was twice the number of files. Each time 7 exercise books and 5 files were taken out of the box. After a while, only 30 exercise books were left.
    (a) How many files were taken out?
    (b) What was the total number of exercise books and files in the box in the first place?

    A)(a) 50 files (b) 150
    B)(a) 50 files (b) 160
    C)(a) 60 files (b) 150
    D)(a) 60 files (b) 160
    

27.  In the figure below, not drawn to scale, PRT is a triangle and QS is a straight line. `/_ PTR = 75°` and `/_ SQP = 125°` and PT // QS. Find `/_ PRT` .
    
    

    A)50°
    B)55°
    C)125°
    D)130°
    

28.  The number of students in a day care centre increased from 120 in February to 276 in May. By what percentage was the enrolment increased?

    A)110%
    B)120%
    C)130%
    D)140%
    

29.  William bought a packet of 1 litre fresh orange juice. he drank 320 ml and his mother drank `1/4` of the remainder. How much fresh orange juice did his mother drink?

    A)160 ml
    B)170 ml
    C)180 ml
    D)190 ml
    

30.  Joanna was 2p years old 3 years ago. If her brother is 10 years older than her, what will be their total age in 7 years' time?

    A)(4p + 30) years old
    B)(4p + 50) years old
    C)(5p + 30) years old
    D)(5p + 50) years old