NSP-111-200401-151238

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1.  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`
   

2.  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
   

3.  How many hundreds are there in 845 900?

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

4.  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%
   

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

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

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

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

7.  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
   

8.  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
   

9.  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`
   

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 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%
    

12.  How many hundredths are there in 0.8?

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

13.  45 879 = 40 000 + __________ + 9

    A)587
    B)5 870
    C)58 700
    D)587 000
    

14.  What percentage of the given shapes is shaded?
    
    

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

15.  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
    

16.  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
    

17.  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
    

18.  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
    

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

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

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

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

21.  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)
    

22.  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%
    

23.  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
    

24.  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
    

25.  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
    

26.  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
    

27.  How much does 0.8 kg of sweets cost?
    
    

    A)＄6
    B)＄7
    C)＄8
    D)＄9
    

28.  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
    

29.  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
    

30.  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