splogo NSP-111-190717-042228 timer

Please Do not press "Submit" at the end of the exam until you are sure of your responses, as your test will be graded immediately.
You can hover your mouse pointer over to see the question ID. Good luck!


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





  2. QID 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.





  3. QID 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?





  4. QID The figure below is drawn on a rectangular grid.

    Find the total area of the shaded parts of the figure.





  5. QID The figure below is made up of a square and a quadrant. The area of the square is `64 cm^2` .

    Find the perimeter of the shaded part. Leave your answer in terms of π .





  6. QID 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?





  7. QID 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?





  8. QID 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?





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





  10. QID Amanda drove at a constant speed of 72 km/h completing the last `3/8` of her journey in 30 minutes. Find the total distance that Amanda had travelled.





  11. QID 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.





  12. QID 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?





  13. QID What is the missing number in the bracket? 24 : [ ] = 8 : 3





  14. QID 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?





  15. QID 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.?





  16. QID The figure below shows a trapezium ABCD. AD is parallel to BE and BE = BC. `/_ BEC = 70°` .

    (a) Find `/_ ADC` . (b) Find `/_ ABC.`





  17. QID `3w^2` can be expressed as _________.





  18. QID What is the value of A in the number line?





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





  20. QID In the figure below, AC, AB, DE, FG and AH are straight lines.

    Which line is perpendicular to AC?





  21. QID Express 3 000 m as a percentage of 5 km.





  22. QID Express `29/7` as a mixed number.





  23. QID  `3 3/4` h is the same as __________.





  24. QID Change `2/25` to a decimal.





  25. QID Subtract 10 tenths from 2.3. Express your answer as a decimal.





  26. QID Kim bought 8 marking pens and 6 torches of the same kind from a shop. She paid a total sum of $38.50 for all the items. If a torch cost $2.45 more than a pen,
    (a) find the cost of one pen.
    (b) What would be the cost of 4 pens and 8 torches after a 10% discount was given?





  27. QID If 12 chickens lay 3 dozen eggs in 4 days, how many eggs would you expect 6 chickens to lay in 8 days?





  28. QID 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.





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





  30. QID 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?






Copyright © StarPoint Online Test Centre