Level 3
This figure is not drawn to scale. It is made up of 3 squares. The ratio of the area of the smallest square to the largest square is 2 : 9 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest square?
3 m
Level 3
At first, Beaker A and Beaker B contained 0.6 ℓ and 1.6 ℓ of water respectively. Some water from Beaker B was poured into Beaker A with no water spilling over. In the end, there was as much water in Beaker A as in Beaker B. How much water was poured from Beaker B to Beaker A?
3 m
Level 3
The figure, not drawn to scale, shows a rectangle, WXYZ, which is divided in 4 parts, A, B, C, D. The ratio of the area of D to the area of C is 1 : 3. The ratio of the area of C to the area of B is 2 : 7. If the area of A is 238 cm2 , what is the area of the rectangle WXYZ?
3 m
Level 3
The square is divided into 4 parts, W, X, Y and Z. W and X form 12 of the square. The area of Y is double of the area of Z, while the ratio of the area of X to the area of W is 1 : 3. What fraction of the square is the sum of the area of X and Y? Leave the answer(s) in the simplest form.
3 m
Level 3
Diana baked curry, sardine and chicken buns. She baked 60 curry buns. 20% of her buns were chicken. She baked 12 more sardine buns than chicken buns. How many curry buns and sardine buns did Diana bake altogether?
3 m
Level 3
The figure is made up of two squares and a triangle. The ratio of the area of Triangle X to that of Square Z is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle X and Square Y is 464 cm2, what is the area of Square Z?
3 m
Level 2
The ratio of Adam's money to Bryan's money is 4 : 3.
The ratio of Bryan's money to Chris' money is 2 : 1.
The total amount that they have is $510.
How much more money does Adam have than Chris?
3 m
Level 3
Yvonne baked 140 cupcakes. 35 of the cupcakes were vanilla cupcakes. The rest were milo cupcakes. She gave an equal number of vanilla cupcakes and milo cupcakes away and had 5 times as many vanilla cupcakes as milo cupcakes left. How many cupcakes did she give away?
3 m
Level 3
The figure is made up of 2 squares of different sizes. The area of the small square is 50% of the area of the big square. The overlapped shaded area is 20 cm2. The area of the unshaded small square is 25 the area of the unshaded big square. Find the area of the small square.
3 m
Level 3
In a school, the ratio of adults to the number of children is 12 : 7.
The ratio of the number of boys to the number of girls is 3 : 2.
There are 70 more boys than girls.
How many people are there in the school?
3 m