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





  2. 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.





  3. QID 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?





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





  5. QID The figure below is made up of a rectangle ABCD and a rhombus AEBF. Find `/_ x` .





  6. 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?





  7. QID The figure below is divided into equal rectangular units.

    What percentage of the figure is shaded?





  8. QID At Car Park A, the parking fee is charged at the following rates:
    For the first hour or part thereof $2.00
    For every additional half hour or part thereof $1.00

    Max parked his car at the car park for 2 hours 15 minutes. How much did he pay for using the car park?





  9. 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.





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





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





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





  13. QID 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.





  14. QID A school staged a play at the Victoria Theatre on two evenings. On the first evening, there were 80 more boys than girls in the audience. On the second evening, the number of boys decreased by 10% while the number of girls increased by 20%. If there were 1542 boys and girls on the second evening,
    (a) find the number of boys present on the second evening?
    (b) What was the total sum of money collected from the sale of the tickets on the two evenings if each ticket cost $30?





  15. 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?





  16. QID  `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.





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





  18. 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?





  19. 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?





  20. 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?





  21. QID The figure below is made up of two identical rectangles, each measuring 4 cm by 2 cm.

    What is the perimeter of the figure?





  22. 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 .





  23. QID Change `2/25` to a decimal.





  24. QID 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?





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





  26. QID 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?





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





  28. 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.?





  29. QID Find the value of `/_ a` .





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






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