NSP-111-191024-014842

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1.  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
   

2.  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`
   

3.  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
   

4.  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`
   

5.  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°
   

6.  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
   

7.  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)
   

8.  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
   

9.  How many hundreds are there in 845 900?

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

10.  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
    

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

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

12.  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
    

13.  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
    

14.  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`
    

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.  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%
    

17.  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
    

18.  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
    

19.  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.
    

20.  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
    

21.  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
    

22.  45 879 = 40 000 + __________ + 9

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

23.  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
    

24.  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
    

25.  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
    

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

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

27.  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%
    

28.  How many hundredths are there in 0.8?

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

29.  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
    

30.  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