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4. Whole numbers
There are rows of 15 chairs in a school hall.
6 additional chairs were brought into the hall, and all chairs were rearranged into rows
of 12.
Now, there are 10 more rows than before.
How many chairs were there in the school hall at first?
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5. There are 4 bottles labelled P, Q, R and S.
These bottles contained a total of 1620 marbles.
The number of marbles in S was halved while the number of marbles in P and Q were
increased by 110 and decreased by 30 respectively.
Eventually, the number of marbles in all 4 bottles became equal.
How many marbles were there in bottle S at first?
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6. Decimals
The cost of a cookie is $1.20 and the cost of a bar of chocolate is $1.60.
John spent the same amount of money on the cookies and the chocolates.
The number of cookies is 5 more than the number of chocolates.
How many cookies did he buy?
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7. Fractions
John had as many erasers as pens.
He went to an orphanage and gave each orphan 4 erasers and 3 pens.
Subsequently, he discovered that he had 6 erasers and 180 pens left.
(a) How many orphans were there in the orphanage?
(b) How many erasers did John have at first?
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8. Ratio
Kelly bought some buns and gave half of them to Lionel.
Lionel bought some sweets and gave half of them to Kelly.
Kelly ate 10 sweets and Lionel ate 22 buns.
As a result, the ratio of the number of sweets to buns Kelly had left became 1:7 and the
ratio of the number of sweets to buns Lionel had left became 1: 5.
How many sweets did Lionel buy?
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9. There are a certain number of pupils in a class.
If George is excluded, the ratio of the number of boys to girls in the class would be 4:1.
If Kelly is excluded, the ratio of the number of boys to girls in the class would be 5:1.
How many students are there in the class?
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10. Percentage
Pet store A sells a Labrador puppy at $120.
The price of a similar Labrador puppy in pet store B was 250% more than that in pet
store A.
(a) What was the selling price of a Labrador puppy in pet store B?
(b) John bought a Labrador puppy from each store during a sale. The Labrador puppy
from pet store B cost $108 more than the one in pet store A.
If both pet stores offered the same percentage discount on all pets sold in the stores,
what was the percentage discount given on each Labrador puppy?
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11. Speed
Benny and Kenny took part in a cycling race. In 60 minutes, Benny had completed only
35 of the race while Kenny had already completed the entire race.
Benny's average speed for the race was 360 m/min slower than Kenny's.
(a) What is the distance of the race?
(b) What is Benny's average speed in m/min?
(c) What is Kenny's average speed in km/h?
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12. Circles
The figure shown is made up of 2 semi-circular arcs and a sector.
(a) What is the area of the shaded part?
(b) What is the perimeter of the shaded part?
[Take π to be 3.14]
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