NSP-111-200927-043245

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1.  45 879 = 40 000 + __________ + 9

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

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.  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
   

4.  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%
   

5.  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`
   

6.  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
   

7.  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
   

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 hundredths are there in 0.8?

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

10.  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
    

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

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

12.  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
    

13.  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
    

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 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
    

16.  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
    

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

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

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.  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
    

20.  How many hundreds are there in 845 900?

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

21.  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%
    

22.  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
    

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

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

24.  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
    

25.  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
    

26.  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
    

27.  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
    

28.  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
    

29.  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
    

30.  How much does 0.8 kg of sweets cost?
    
    

    A)＄6
    B)＄7
    C)＄8
    D)＄9