Level 3
In the figure not drawn to scale, 4 identical rectangles were placed around square ABCD to form a larger square, EFGH. The area of one rectangle is 12 cm2, and the area of ABCD is 14 of EFGH. Find the length of one rectangle.
Level 3
In the figure not drawn to scale, 4 identical rectangles were placed around square ABCD to form a larger square, EFGH. The area of one rectangle is 12 cm2, and the area of ABCD is 14 of EFGH. Find the length of one rectangle.
Level
Neave's shop sells shirts and blouses. A shirt is sold at $88 and a blouse is sold at 14 of the price of the shirt. On Sunday, Neave sold 89 of the items in his shop and collected $2244. 38 of the items sold were shirts. How many items were unsold after Sunday?
Level 3
A sum of $728 is divided among a group of people. 78 of the people receive $4 each, 13 of the remainder receive $3 each and the rest receive $2 each. How many people are there altogether?
Level 3
Tickets for a drama performance were sold to senior citizens, adults and children at different prices as shown. 14 of the tickets sold were bought by senior citizens and 13 of them were bought by adults. The rest were bought by children.
What fraction of the tickets sold that were bought by children?
A total amount of $2240 was collected from the sale of the tickets. How many children bought the tickets?
Level 3
Tickets for a drama performance were sold to senior citizens, adults and children at different prices as shown. 14 of the tickets sold were bought by senior citizens and 13 of them were bought by adults. The rest were bought by children.
What fraction of the tickets sold that were bought by children?
A total amount of $2240 was collected from the sale of the tickets. How many children bought the tickets?
Level 3
Oscar had some apricot shortbreads and apple shortbreads. 49 of the number of apricot shortbreads was equal to 18 of the number of apple shortbreads. After Oscar made 279 more apricot shortbreads, the number of apricot shortbreads was 54 of the number of apple shortbreads. How many shortbreads did he have altogether in the end?
Level 3
Ryan had $200 more than Riordan at first. Ryan gave $70 to Riordan. As a result, Riordan has 56 as much money as Ryan. How much money had each of them at first?
Level 3
Yesterday, Ivan had 56 more marbles than Daniel. Today, Ivan gave Daniel 58 of his marbles. As a result, he has half as many marbles as Daniel now. How many marbles did Ivan have yesterday?
Level 3
In the figure, a rectangular piece of paper measuring 26 cm by 18 cm is folded at the Corner D in such a way that BD is 13 of its breadth. Find the area of Triangle ABD.
Level 3
In the figure, a rectangular piece of paper measuring 26 cm by 18 cm is folded at the Corner D in such a way that BD is 13 of its breadth. Find the area of Triangle ABD.
Level 3
Given that BC is longer than ED by 10 cm and CD = 42 cm. BC is 25 of AB and the total area of Triangle AHF and Triangle CHD is 1323 cm2. Find the area of the unshaded triangles.
Level 3
Given that BC is longer than ED by 10 cm and CD = 42 cm. BC is 25 of AB and the total area of Triangle AHF and Triangle CHD is 1323 cm2. Find the area of the unshaded triangles.
Level 3
A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: canoeing, rugby or fencing. 57 of them voted for either canoeing or rugby. 25 of them for either rugby or fencing. 48 of them voted for rugby. How many students took part in the survey?
