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  1. QID The difference between 2 numbers is 8. The average of the two numbers is 37. What is the bigger number?

  2. 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?

  3. 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?

  4. 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.

  5. 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` .

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

  7. QID Mr Chin shared $130 among his three children. The first child received $m and the second child received $30 more than the first child. How much money did the third child receive?

  8. QID A retailer bought a DVD player for $120. He marked it at 25% higher than what he had paid for. He sold the DVD player at $12 less than the marked price. At what price did he sell the DVD player?

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

  10. QID The ratio of the number of twenty-cent coins to the number of fifty-cent coins in a box was 4 : 3. Six fifty-cent coins were taken out and exchanged for twenty-cent coins. These new twenty-cent coins were then put back into the box. The ratio of the number of twenty-cent coins to the number of fifty-cent coins became 13 :4. How many twenty-cent coins were there in the box at first?

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

  12. 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?

  13. 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?

  14. 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.

  15. QID What is the maximum number of 4 cm cubes that can be packed into a rectangular box measuring 18 cm by 13 cm by 4 cm?

  16. QID The number of students in a day care centre increased from 120 in February to 276 in May. By what percentage was the enrolment increased?

  17. 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?

  18. 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?

  19. QID A show started at 7.17 p.m. and ended `1 3/4` hour later. At what time did the show end?

  20. QID The graph below shows the number of tourists who visited the esplanade from January to June. What was the average number of tourists who visited the Esplanade during the 6 months?

  21. QID Mr Lee left Town X in a van at 8.30 a.m. and travelled at a constant speed of 50 km/h. Three hours later, Mr Wee took the same route by car and travelled at a constant speed. After travelling 300 km, Mr Wee caught up with Mr Lee.
    (a) What is Mr Wee's speed?
    (b) How far apart would they be at 1.30 p.m.?

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

  23. QID The net of a cube is shown below. Which is the face that is directly opposite F?

  24. 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?

  25. QID Find the length of wire needed to construct a cuboid 60 cm by 40 cm by 20 cm.

  26. QID The figure below is a right-angled triangle. Find `/_ DAC` .

  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 How many hundredths are there in 0.8?

  29. 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.

  30. 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?

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