NSP-111-240920-211852

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1.  The graph below shows the number of story books read by the various classes in a school over a period of time.
   
   (a) What was the total number of classes in the school?
   (b) How many classes in the school read more than 40 story books?
   (c) What percentage of the classes in the school read fewer than 40 story books?

   A)(a) 40 classes (b) 18 classes (c) 30.5%
   B)(a) 40 classes (b) 18 classes (c) 32.5%
   C)(a) 50 classes (b) 18 classes (c) 30.5%
   D)(a) 50 classes (b) 18 classes (c) 32.5%
   

2.  Mr Lim planted some rambutan trees in a row with the same distance apart. The distance between the first and the fifth tree was 20 m. Find the distance between
   (a) the first and the tenth tree, and
   (b) the 5th and the 40th tree.

   A)(a) 45 cm (b) 175 cm
   B)(a) 45 cm (b) 176 cm
   C)(a) 46 cm (b) 175 cm
   D)(a) 46 cm (b) 176 cm
   

3.  In the figure below, AC, AB, DE, FG and AH are straight lines.
   
   Which line is perpendicular to AC?

   A)GF
   B)AH
   C)DE
   D)AB
   

4.  The diagram below is made up of 2 triangles. The area of the smaller triangle is `1/3` the area of the bigger triangle.
   
   What is the area of the bigger triangle?

   A)`5 cm^2`
   B)`10 cm^2`
   C)`15 cm^2`
   D)`30 cm^2`
   

5.  The figure below is divided into equal rectangular units.
   
   What percentage of the figure is shaded?

   A)25%
   B)62.5%
   C)75%
   D)87.5%
   

6.  `3w^2` can be expressed as _________.

   A)3 + wxw
   B)3 + w × w
   C)3 × w × 2
   D)3 × w × w
   

7.  Grace bought 6 apples for ＄p and 4 oranges for ＄3p. She gave the cashier ＄50 and received a change of ＄42. How much did one orange cost? Express you answer in dollars and cents.

   A)＄1 and 40 cents
   B)＄1 and 50 cents
   C)＄2 and 40 cents
   D)＄2 and 50 cents
   

8.  Jane wanted to buy a piano with the money she had saved. She found that she had only `3/5` of its cost. Each of her parents contributed ＄400 towards the purchase but Jane was still short of `2/7` of the amount needed to buy the piano.
   
   (a) How much more money would Jane need in order to buy the piano?
   (b) How much did the piano cost?

   A)(a) ＄130 (b) ＄2 327.50
   B)(a) ＄130 (b) ＄2 328.50
   C)(a) ＄133 (b) ＄2 327.50
   D)(a) ＄133 (b) ＄2 328.50
   

9.  Geraldine had a basket of apples and oranges. The ratio of the apples to the oranges was 1 : 2. When 56 more apples were put into the basket, the ratio of the apples to the oranges became 9 : 2.
   (a) What was the original number of apples in the basket?
   (b) If Geraldine were to sell the fruits in her basket at ＄2 for any three of them or at ＄0.80 for any one fruit, how much would Mrs Lu have to pay for 44 apples and oranges?

   A)(a) 6 (b) ＄29.50
   B)(a) 6 (b) ＄29.60
   C)(a) 7 (b) ＄29.50
   D)(a) 7 (b) ＄29.60
   

10.  Find the value of 49 - (50 - 132 ÷ 11) + 2.

    A)11
    B)12
    C)13
    D)14
    

11.  The figure below shows a trapezium ABCD. AD is parallel to BE and BE = BC. `/_ BEC = 70°` .
    
    (a) Find `/_ ADC` . (b) Find `/_ ABC.`

    A)(a) 70° (b) 100°
    B)(a) 70° (b) 110°
    C)(a) 80° (b) 100°
    D)(a) 80° (b) 110°
    

12.  James' watch moves faster by five minutes every hour. If the time shown on his watch is 2.25 p.m. now, what should be the actual time three hours ago?

    A)11.25 a.m.
    B)11.10 a.m.
    C)11.40 a.m.
    D)5.10 p.m.
    

13.  What is the value of A in the number line?
    
    

    A)1993
    B)1998
    C)2001
    D)2005
    

14.  Helen has some marbles. If she puts them into bags of 5, she would have 2 marbles left. If she puts them into bags of 7, she would be short of 3 marbles. How many marbles does she have?

    A)31 marbles
    B)32 marbles
    C)33 marbles
    D)34 marbles
    

15.  The rate of renting a car is ＄70 per day. In addition, there is a 5% GST charge. How much must Tom pay if he rents a car for 2 weeks?

    A)＄1 019
    B)＄1 029
    C)＄1 039
    D)＄1 049
    

16.  Rachel and Dan were driving at uniform speeds towards each other. Rachel was driving at a speed of 60 km/h. At 3.30 p.m., both of them were 488 km apart. The two only passed each other at 7.30 p.m. At what speed was Dan travelling?

    A)61 km/h
    B)62 km/h
    C)63 km/h
    D)64 km/h
    

17.  Find the volume of a cube if one of its faces has an area of `49 cm^2` .

    A)`341 cm^3`
    B)`342 cm^3`
    C)`343 cm^3`
    D)`344 cm^3`
    

18.   `5/8` is the same as `([])/32` What is the missing number in the bracket?

    A)10
    B)15
    C)20
    D)25
    

19.  Eight identical 5 cm cubes are placed in an empty rectangular tank of length 75 cm and width 40 cm. The tank is then filled with water running from a tap at the rate of 9 litres per minute. It takes 11 minutes to fill up `2/3` of the tank.
    (a) How much more water is needed to fill up the tank to its brim? Express your answer in litres.
    (b) Find the height of the tank.

    A)(a) 150 litres (b) 50 cm
    B)(a) 150 litres (b) 60 cm
    C)(a) 160 litres (b) 50 cm
    D)(a) 160 litres (b) 60 cm
    

20.  The figure below is made up of two identical rectangles, each measuring 4 cm by 2 cm.
    
    What is the perimeter of the figure?

    A)16 cm
    B)20 cm
    C)22 cm
    D)24 cm
    

21.  What is 40% of the sum of money if `1/6` of it is ＄120?

    A)＄268
    B)＄278
    C)＄288
    D)＄298
    

22.  The figure below is made up of a square ABCD of sides 10 cm each and a semicircle DPC. M and N are the mid-points of BC and DC respectively.
    
    (a) Find the area of the shaded part of the figure.
    (b) Using π=3.14 , find the total area of the unshaded parts of the semicircle.

    A)(a) `61.5 cm^2` (b) `14.20 cm^2`
    B)(a) `61.5 cm^2` (b) `14.25 cm^2`
    C)(a) `62.5 cm^2` (b) `14.20 cm^2`
    D)(a) `62.5 cm^2` (b) `14.25 cm^2`
    

23.  The rates of booking a tennis court at a club are as follows:
    

    Weekdays (9 a.m. - 5 p.m.)	＄2.00 per hour
    Weekdays (5 p.m. - 10 p.m.)	＄5.00 per hour
    Saturdays and Sundays	＄6.00 per hour

    
    Each member has to pay ＄5 for every guest brought to the club. Mary brought two guests to the club to play tennis on Friday and paid a total of ＄22. How long did she book the tennis court for if they started playing at 4 p.m.?

    A)1 hour
    B)2 hours
    C)3 hours
    D)4 hours
    

24.  An equal amount of water is poured into two empty tanks A and B.
    
    If Tank A is half-filled with water, what is the height of the water level in Tank B?

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

25.   `2/3` of the length of Stick B is half the length of Stick A. If Stick A is 18 cm longer than Stick B, find the total length of the two sticks.

    A)1.16 m
    B)1.26 m
    C)1.36 m
    D)1.46 m
    

26.  Which set of fractions given below is arranged from the smallest to the greatest value?

    A) `1/2,3/4,3/5,2/3`
    B) `1/2,3/5,2/3,3/4`
    C) `1/2,2/3,4/5,5/7`
    D) `3/4,2/3,3/5,1/2`
    

27.  The table below shows the number of pupils who were late for school from January to May this year.
    

    Month	Jan	Feb	Mar	Apr	May
    Number of latecomers	16	8	10	20	18

    
    In which month were there twice as many latecomers as the month before?

    A)February
    B)March
    C)April
    D)May
    

28.  Ben ran a distance of 620 m in 4 minutes. Find his average running speed.

    A)124 m/min
    B)150 m/min
    C)155 m/min
    D)372 m/min
    

29.  Find the value of 10p + 8 - 3p - 5 when the value of p is 3.

    A)21
    B)22
    C)23
    D)24
    

30.  Mr Wong earns ＄2 for every book that he sells. He earns an additional ＄5 for every 12 books he sells. How many books must he sell in order to earn ＄609?

    A)251
    B)252
    C)253
    D)254