Level 3
The figure shows the Triangle PQR that is divided into 4 parts a, b, c and d. The line PZ divides the triangle into 2 equal parts. The ratio of Area a to Area b is 1 : 3 and the ratio of Area b to Area c is 5 : 2. Area d is 210 cm2. What is the area of Triangle PQR?
Level 3
The figure shows the Triangle PQR that is divided into 4 parts a, b, c and d. The line PZ divides the triangle into 2 equal parts. The ratio of Area a to Area b is 1 : 3 and the ratio of Area b to Area c is 5 : 2. Area d is 210 cm2. What is the area of Triangle PQR?
Level 3
At a fruit stall, 280 mangoes were sold in the morning and 35 of the remaining mangoes were sold in the afternoon. As a result, the number of mangoes left became 16 of the total number of mangoes at first. Given that the mangoes were sold at $2.50 in packs of six mangoes, how much did the fruit stall receive from the sale of the mangoes in the afternoon?
Level 3
Adam has stickers in 4 colours. 57 of the stickers are blue.
The rest of the stickers are red, yellow and green in the ratio of 1 : 5 : 3.
If there are 40 more yellow stickers than green stickers,
how many blue stickers are there?
Level 3
There were 360 males and 400 females queueing up for a fan meeting. The ratio of the number of males to the number of females who left the queue was in the ratio 1 : 2. As a result, the ratio of the number of females became four times as many as the number of males who remained in the queue. How many people left the queue?
Level 3
The number of red grapes is the same as the number of green grapes in a bag. After removing 14 of the grapes, there were 36 red grapes and 54 green grapes left in the bag. Then another 20 red grapes and 20 green grapes were removed and there were 512 of the grapes left in the end. How many red grapes were removed altogether?
Level 3 Peter had a square piece of paper. He cut it along the dotted lines as shown in Figure 1 to get one small square of side 2 cm and four identical right-angled triangles. One such triangle is shown in Figure 2. Find the perimeter of the square piece of paper in Figure 1 before it was cut.
Level 3 Peter had a square piece of paper. He cut it along the dotted lines as shown in Figure 1 to get one small square of side 2 cm and four identical right-angled triangles. One such triangle is shown in Figure 2. Find the perimeter of the square piece of paper in Figure 1 before it was cut.
Level 3
Adam has some money.
Adam spends $300 on some stickers and
80% of the remainder on some marbles.
In the end, he has 18 of the total amount left.
How much does Adam have at first?
How much more does Adam spend on marbles than on stickers?
Level 2
The figure is made up of a square and a rectangle. The area of the square is 13 the area of the rectangle. Given that 12 of the square is shaded, what fraction of the whole figure is unshaded?
Level 2
The figure is made up of a square and a rectangle. The area of the square is 13 the area of the rectangle. Given that 12 of the square is shaded, what fraction of the whole figure is unshaded?
