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  1. 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?





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





  3. 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.





  4. 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?





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





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





  7. QID 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?





  8. 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?





  9. QID Change `2/25` to a decimal.





  10. 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?





  11. 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?





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

    What percentage of the figure is shaded?





  13. QID Find the value of `/_ a` .





  14. 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?





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

    Which line is perpendicular to AC?





  16. 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?





  17. QID The pie chart below shows the favourite drink of a class of pupils. AB is a straight line and O is the centre of the chart.

    If 60 pupils chose orange juice, how many pupils chose pineapple juice?





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





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





  20. 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?





  21. 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.





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





  23. 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.





  24. 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?





  25. 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.?





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





  27. 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?





  28. 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 .





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





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

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






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