NSP-111-190717-042207

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1.  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
   

2.  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
   

3.  How much does 0.8 kg of sweets cost?
   
   

   A)＄6
   B)＄7
   C)＄8
   D)＄9
   

4.  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
   

5.  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
   

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

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

7.  45 879 = 40 000 + __________ + 9

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

8.  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
   

9.  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
   

10.  A square cardbox has an area of `121 cm^2`. Find the ratio of its side to its perimeter.

    A)1 : 2
    B)1 : 3
    C)1 : 4
    D)1 : 5
    

11.  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
    

12.  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`
    

13.  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
    

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.  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
    

16.  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%
    

17.  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
    

18.  A show started at 7.17 p.m. and ended `1 3/4` hour later. At what time did the show end?

    A)6.02 p.m.
    B)7.02 p.m.
    C)8.02 p.m.
    D)9.02 p.m.
    

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

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

20.  The figure below is a right-angled triangle. Find `/_ DAC` .
    
    

    A)46°
    B)47°
    C)48°
    D)49°
    

21.  What percentage of the given shapes is shaded?
    
    

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

22.  How many hundreds are there in 845 900?

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

23.  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)
    

24.  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`
    

25.  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`
    

26.  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%
    

27.  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
    

28.  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°
    

29.  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%
    

30.  How many hundredths are there in 0.8?

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