Question:

Level 1

Benson sawed off^{2}_{3} of a stick. What is the ratio of the unsawed portion of the stick to the sawed portion of the stick?

1 m
Benson sawed off

Level 1

What percentage of the figure is unshaded?

What percentage of the figure is unshaded?

1 m

Level 1

Arrange the following from the largest to the smallest. Express your answer based on the numbers given in the brackets. (Eg 1, 2, 3, 4)

(1) 1.07

(2) 1^{1}_{5}

(3) 1.7

(4)^{10}_{7}

1 m
Arrange the following from the largest to the smallest. Express your answer based on the numbers given in the brackets. (Eg 1, 2, 3, 4)

(1) 1.07

(2) 1

(3) 1.7

(4)

Level 3

Andy, Bob and Charles collected game cards in the ratio of 7 : 4 : 9. After Charles gave^{3}_{10} to Andy and Bob, Charles had 60 less game cards than Andy. The number of game cards that Ben had increased by 35%. How many game cards did Andy and Charles have?

4 m
Andy, Bob and Charles collected game cards in the ratio of 7 : 4 : 9. After Charles gave

Level 3

Fabian, Gilbert and Henry had some marbles in the ratio of 2 : 3 : 5. Henry gave 40% of his marbles to Fabian and Gilbert. As a result, Fabian had the same number of marbles as Gilbert and Henry had 36 fewer marbles than Fabian.

4 m
Fabian, Gilbert and Henry had some marbles in the ratio of 2 : 3 : 5. Henry gave 40% of his marbles to Fabian and Gilbert. As a result, Fabian had the same number of marbles as Gilbert and Henry had 36 fewer marbles than Fabian.

- What was the percentage increase in Fabian's marbles after receiving from Henry?
- How many marbles did Gilbert have at first?

Level 3

Bryan's money was 3^{3}_{5} times his sister's money. After his mother gave him $44 and his sister $122, Bryan then had twice as much money as his sister. How much money did Bryan have at first?

4 m
Bryan's money was 3

Level 3

Roshel had some peaches and oranges in 2 baskets. In Basket A, the number of peaches to the number of oranges was in the ratio of 5 : 9. In Basket B, there were thrice as many peaches as oranges. After Roshel transferred^{1}_{3} of the oranges from Basket A to Basket B,
the number of fruits left in Basket A was 187
and the ratio of the number of peaches to the number of oranges in Basket B became 7 : 8.
How many fruits were in Basket B in the end?

5 m
Roshel had some peaches and oranges in 2 baskets. In Basket A, the number of peaches to the number of oranges was in the ratio of 5 : 9. In Basket B, there were thrice as many peaches as oranges. After Roshel transferred

Level 2

At a club dinner, every member brought 1 or 2 guests. If the ratio of the number of members to the number of guests was 3 : 5, what fraction of the members brought 2 guests?

2 m
At a club dinner, every member brought 1 or 2 guests. If the ratio of the number of members to the number of guests was 3 : 5, what fraction of the members brought 2 guests?

Level 3

A bag had some violet erasers and yellow erasers in the ratio of 3 : 1. Queenie removed 35 violet erasers and put another 15 yellow erasers into the bag. There is now 50% as many violet erasers as yellow erasers in the bag. How many violet erasers were in the bag at first?

4 m
A bag had some violet erasers and yellow erasers in the ratio of 3 : 1. Queenie removed 35 violet erasers and put another 15 yellow erasers into the bag. There is now 50% as many violet erasers as yellow erasers in the bag. How many violet erasers were in the bag at first?

Level 3

The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?

The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?

4 m