Type 1 (Suitable for Primary 3/4)

Thomas has a total of 440 presents on his train to give to the people of Happy Town during Christmas. Each adult 2 presents, each good children receive 3 presents and each naughty children receive 1 present. There are twice as many naughty children as adults. The number of good children was thrice of the number of naughty children. How many good children were there?

Type 2 (Suitable for Primary 5)

At a birthday party, the ratio of the number of adults to the number of children was 1:4. Each boy was given 3 chocolates, each girl was give 2 chocolates and each accompanying adult received 1 chocolate. Given that 403 chocolates were distributed and that the ratio of the number of boys to the number of girls was 1:2, how many children were there at the birthday party?

Type 1 (Suitable for Primary 5/6)

At a community library, the ratio of fiction books to non-fiction books was 8:3.  25% of the non-fiction books and 37.5% of the fiction books were loaned out. Given that there were 1375 more non-fiction books than fiction books left in the community library, how many fictions books were there at the library at first?

Type 2 (Suitable for Primary 5/6)

Mr Krishnan spent $740 of his monthly salary on a DVD recorder and 0.75 of his remaining money on a television set. If he had 0.2 of his salary left, how much was his salary for the month?

Type 3 (Suitable for Primary 5/6)

Andrew spent 50% of his money and an additional $15 on a game cartridge. He spent 60% of the remaining money and an additional $8 on a few hand phone accessories. Give that he was left with $10, how much money did he have at first

Type 1 (Suitable for Primary 3/4)

Basic (Suitable for Primary 3/4)

In a class, there are 40 students. Mrs Ang distributed 143 sweets to the boys and girls. Each boy received 4 sweets and each girl received 3 sweets. Find the number of boys in the class.

Intermediate (Suitable for Primary 4/5)

Mr Yee sold a total of 120 shirts yesterday. For the old stocks, he sold them at a loss of $3 each. He earn $27 for every new shirt sold. He earned a total of $2250 in total yesterday. How many shirts he sold were old stocks?

Advance (Suitable for Primary 5/6)

John rears 3 types of animals; rhinoceros, goats and rooster, in his enclosed field. A rhinoceros has 1 horn and 4 legs. A goat has 2 horns and 4 legs. A rooster has no horns and 2 legs. He counted a total of 100 animals, 90 horns and 310 legs. How many rhinoceros are there?

A.C.E (Suitable for Primary 3/4)

Jaclyn and Terry went shopping with the same amount of money. After Jaclyn spent $700 and Terry spent $42, Terry had eight times as much money left as Jaclyn. Find the total amount of money they had left after shopping.

A.C.E (Suitable for Primary 5/6)

The number of twenty-cent coins in a box is 75% the number of fifty-cents in the same box. When 10 fifty-cent coins were taken out and replaced by twenty-cent coins of the same value, the ratio of the number of twenty-cent coins to the number of fifty-cent coins became 7 : 5. Find the sum of money in the box at first.

A.C.E Simultaneous – 2 Subjects (Suitable for Primary 5/6)

At an exhibition, there were 270 more men than women. 5/6 of the men and 3/4 of the women left the exhibition. In the end, there were 15 more women than men remaining in the exhibition. How many men were there at the exhibition in the end?

A.C.E Simultaneous – 3 Subjects (Suitable for Primary 5/6)

There were a total of 1110 lorries, car and motorcycles on the Woodlands Causeway, waiting to cross the immigration. After 3/7 of the cars crossed the immigration, the ratio of the number of cars to the number of motorcycles became 8 : 17. When 5/6  of the lorries cross the immigration, there left a total of 780 vehicles which haven’t crossed the immigration. How many lorries were there at first?

A.C.E Fraction Backwards (Suitable for Primary 4/5)

Vernon and Clifford went shopping with a total of $112. After Vernon spent 1/4  of his money and Clifford spent $32, the ratio of Vernon’s money to Clifford’s money became 1 : 4. What was the ratio of Vernon’s money to Clifford’s money at first?

A.C.E Fraction Forward (Suitable for Primary 5/6)

On Monday, 800 more male than female audience attended a concert. On Tuesday, the number of male audience decreased by 1/10 while the number of female audience increased by 1/5. 1560 audience attended the concert on Tuesday. How many male audience were there at the concert on Tuesday?

A.C.E Fraction Advance (Suitable for Primary 6)

1/4 of Joey’s money was $65 more than 1/5 of Pamela’s savings. Pamela spends 20% of her money. In the end, they have $740 altogether. How much money does Joey have first?

A.C.E.C.E Forward (Suitable for Primary 5/6)

Peter had 3 boxes of marbles. He transferred 1/5 of the marbles from Box A to Box B. Then he transferred 1/4 of the marbles from Box B to Box C. Finally, he transferred 1/2 of the marbles from Box C to Box A. As a result, there were 134 marbles in Box A, 69 marbles in Box B and 50 marbles in Box C.  What was the total number of marbles in Box A and Box C at first?

A.C.E.C.E Backward (Suitable for Primary 5/6)

Ryan had $200 more than Danish at first. Rayan gave 3/4 of his money to Danish. In return, Danish gave 2/3 of his money to Ryan. In the end, Ryan had $180 more than Danish. Find the amount of money Danish had in the end.