NSP-111-200714-005021

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1.  The ratio of the number of twenty-cent coins to the number of fifty-cent coins in a box was 4 : 3. Six fifty-cent coins were taken out and exchanged for twenty-cent coins. These new twenty-cent coins were then put back into the box. The ratio of the number of twenty-cent coins to the number of fifty-cent coins became 13 :4. How many twenty-cent coins were there in the box at first?

   A)21 twenty-cent coins
   B)22 twenty-cent coins
   C)23 twenty-cent coins
   D)24 twenty-cent coins
   

2.  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)
   

3.  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
   

4.  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
   

5.  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
   

6.  There were 324 envelopes in a box. The numbers of red, blue and yellow envelopes were in the ratio 4 : 3 : 2 respectively.
   Later, Pauline put a total of 173 red, blue and yellow enveloped into the box. As a result, the number of red envelopes increased by 25% and the number of blue envelopes increased by 100%.
   What was the percentage increase in the number of yellow envelopes?
   (Round off your answer to the nearest whole number)

   A)10%
   B)20%
   C)30%
   D)40%
   

7.  How much does 0.8 kg of sweets cost?
   
   

   A)＄6
   B)＄7
   C)＄8
   D)＄9
   

8.  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
   

9.  What percentage of the given shapes is shaded?
   
   

   A) `31 1/3` %
   B) `32 1/3` %
   C) `33 1/3` %
   D) `34 1/3` %
   

10.  A rectangle is divided into a square, P and 3 smaller rectangles, Q, R and S. The areas of P, Q and R are `9 cm^2`, `15 cm^2` and `40 cm^2` respectively. Find the area of S.
    
    

    A)`21 cm^2`
    B)`22 cm^2`
    C)`23 cm^2`
    D)`24 cm^2`
    

11.  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
    

12.  A survey was conducted on a certain number of children on the books they like to read the most. The table below shows their responses. Study the table carefully and answer the question that follows.
    

    Title of books	No. of children
    Harry Porter, Sorcerer and the Stone	36
    Lord of the Rings, The Twin Temples	48
    Star Wars, The Return of Yoda	72
    Shrek 3	40

    
    What fraction of the children like to read Shrek 3?

    A) `10/49`
    B) `11/49`
    C) `12/49`
    D) `13/49`
    

13.  The bar graph below shows the number of pupils who have signed up to join 4 different clubs during the CCA recruitment drive in school.
    
    (a) In which club is the ratio of the number of boys to the number of girls 4 : 5? (b) What fraction of pupils who joined the Science Club are girls?

    A)(a) Computer Club (b) `4/7` of pupils
    B)(a) Computer Club (b) `5/7` of pupils
    C)(a) Maths Club (b) `4/7` of pupils
    D)(a) Maths Club (b) `5/7` of pupils
    

14.  The area of the shaded part of the triangle below is __________ cm².
    
    

    A)168
    B)112
    C)84
    D)56
    

15.  How many hundreds are there in 845 900?

    A)8 159 hundreds
    B)8 259 hundreds
    C)8 359 hundreds
    D)8 459 hundreds
    

16.  Find the area of the shaded part of the triangle.
    
    

    A)20 cm²
    B)40 cm²
    C)50 cm²
    D)80 cm²
    

17.  Find the length of wire needed to construct a cuboid 60 cm by 40 cm by 20 cm.

    A)120 cm
    B)240 cm
    C)320 cm
    D)480 cm
    

18.  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
    

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.  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
    

21.  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`
    

22.  Crate P and Crate Q contain pears and apples. Crate P had 16 fewer fruits than Crate W. `5/8` of the fruits in Crate Q are apples. The remaining 24 fruits in Crate Q are pears. How many fruits are there altogether in Crate P and Crate Q?

    A)64 fruits
    B)96 fruits
    C)102 fruits
    D)112 fruits
    

23.  The graph below shows the number of tourists who visited the esplanade from January to June. What was the average number of tourists who visited the Esplanade during the 6 months?
    
    
    

    A)6 000 tourists
    B)7 000 tourists
    C)8 000 tourists
    D)9 000 tourists
    

24.  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
    

25.  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`
    

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

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

27.  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
    

28.  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
    

29.  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°
    

30.  How many hundredths are there in 0.8?

    A)8 hundredths
    B)80 hundredths
    C)800 hundredths
    D)8 000 hundredths