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

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

    Which line is perpendicular to AC?

  4. 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?

  5. 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?

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

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

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

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

  10. 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 .

  11. 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?

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

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

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

  14. 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.

  15. QID Change `2/25` to a decimal.

  16. 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.

  17. 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?

  18. QID Find the value of `/_ a` .

  19. 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?

  20. 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?

  21. 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.

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

  23. 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.

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

  25. 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?

  26. 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?

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

  28. 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?

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

    What percentage of the figure is shaded?

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

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