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  1. QID There are 36 girls in a class. In how many ways can a teacher divide the class such that there is an equal number of girls in each group if there is more than one group and fewer than 36 groups?

  2. QID William bought a packet of 1 litre fresh orange juice. he drank 320 ml and his mother drank `1/4` of the remainder. How much fresh orange juice did his mother drink?

  3. QID Joanna was 2p years old 3 years ago. If her brother is 10 years older than her, what will be their total age in 7 years' time?

  4. QID There were some exercise books and files in a box. The number of exercise books was twice the number of files. Each time 7 exercise books and 5 files were taken out of the box. After a while, only 30 exercise books were left.
    (a) How many files were taken out?
    (b) What was the total number of exercise books and files in the box in the first place?

  5. QID The pie chart below shows the different types of animals in a pet shop.

    If there are 20 more cats than hamsters, how many animals are there in the pet shop altogether?

  6. QID The figure below consists of three squares A, B and C whose areas are in the ration 10 : 5 : 4 respectively.

    Given that `3/10` of Area B is shaded, what fraction of the figure is unshaded?

  7. QID In the figure below, not drawn to scale, PRT is a triangle and QS is a straight line. `/_ PTR = 75°` and `/_ SQP = 125°` and PT // QS. Find `/_ PRT` .

  8. QID Peter has an object weighing 1.6 kg. The object is mostly to be a/an __________.

  9. QID The sales proceeds collected by 5 stalls were recorded in the table below.







    Sales proceeds

    $ 1208

    Not recorded

    $2 500

    $1 880


    The average sale proceeds from stalls B and c was $3 568. How much did stall E collect if the average collection for the 5 stalls was $2 950?

  10. QID How many hundreds are there in 845 900?

  11. QID If 2 packets of flour and 1 packet of sugar weigh 5.5 kg, what is the mass of 6 packets of flour and 3 packets of sugar?

  12. QID A square cardbox has an area of `121 cm^2`. Find the ratio of its side to its perimeter.

  13. QID There were 324 envelopes in a box. The numbers of red, blue and yellow envelopes were in the ratio 4 : 3 : 2 respectively.
    Later, Pauline put a total of 173 red, blue and yellow enveloped into the box. As a result, the number of red envelopes increased by 25% and the number of blue envelopes increased by 100%.
    What was the percentage increase in the number of yellow envelopes?
    (Round off your answer to the nearest whole number)

  14. QID The amount of water in the cylinder is _________ ml.

  15. QID For every $4 Mandy saves, Eunice saves $5 and for every $3 Eunice saves, Sandy saves $2. How much does Sandy save if the three of them save $1 850 altogether?

  16. QID A rectangle is divided into a square, P and 3 smaller rectangles, Q, R and S. The areas of P, Q and R are `9 cm^2`, `15 cm^2` and `40 cm^2` respectively. Find the area of S.

  17. QID In the figure not drawn to scale, LMOP is a rhombus and PON is a straight line. Find `/_ LOP` .

  18. QID A rectangular tank with dimensions 80 cm by 40 cm by 60 cm was `1/3` filled with water. Ten identical iron balls were put into the tank and the height of the water increased by 25%. When more water was added, there was a further increase of 15% in the height of the water.

    Find the
    (a) volume of each iron ball
    (b) the final total volume of the water and 10 iron balls in the tank.

  19. QID The figure is made up of 25 squares of side 2 cm. What fraction of the figure is unshaded?

  20. QID Which of the following are nets of a cube?

  21. QID 45 879 = 40 000 + __________ + 9

  22. QID Peter and John has some stamps. Peter gave away `3/8` of his stamps and John gave away `1/2` of his. They then had the same number of stamps left. The total number of stamps left was 540. What was the total number of stamps the boys had at the beginning?

  23. QID The average height of Alex, Bill and Colin is 176 cm. Colin's height is 1.2 times of Bill's height. If Alex's height is half of the total height of Bill and Colin, find Colin's height in metres.

  24. QID The bar graph below shows the number of pupils who have signed up to join 4 different clubs during the CCA recruitment drive in school.

    (a) In which club is the ratio of the number of boys to the number of girls 4 : 5? (b) What fraction of pupils who joined the Science Club are girls?

  25. QID Mary bought some blue and red counters at a stationery shop in her neighbourhood. `2/3` of the counters she bought were blue and the rest were red. Later, she gave away `3/4` of the blue counters and `1/4` of the red counters and had 100 counters left. How many counters did she buy at first?

  26. QID Crate P and Crate Q contain pears and apples. Crate P had 16 fewer fruits than Crate W. `5/8` of the fruits in Crate Q are apples. The remaining 24 fruits in Crate Q are pears. How many fruits are there altogether in Crate P and Crate Q?

  27. QID Madeline uses 25 litres of water and 15 litres of lemon juice to make lemonade. What percentage of the lemonade is the lemon juice?

  28. QID Three pupils, A, B and C, worked together to paint a mural. If the painting was done by Pupil A only, the time needed to complete the task is 6 hours. If the painting was done by Pupil B only, the time needed for completion is 8 hours. If the painting was done by Pupil C only, the time needed is 12 hours. What is the total time taken for the three pupils to complete the mural altogether? (Leave your answer in its simplest form)

  29. QID How much does 0.8 kg of sweets cost?

  30. QID A survey was conducted on a certain number of children on the books they like to read the most. The table below shows their responses. Study the table carefully and answer the question that follows.

    Title of books

    No. of children

    Harry Porter, Sorcerer and the Stone


    Lord of the Rings, The Twin Temples


    Star Wars, The Return of Yoda


    Shrek 3


    What fraction of the children like to read Shrek 3?

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