Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
Level 3
Ryan owned two shops selling milk tea. Shop A earned 40% more money than Shop B on Monday. On Tuesday, Shop A lost $110 while Shop B earned another $150. In the end, Shop B contributed to 58 of the total earnings of the two shops over the two days operation. How much did Shop A earn over the two days?
Level 2
Janice mistakenly multiplied 27 by 100 instead of multiplying a given number by 100. If the result was 4500 less than the correct answer, what was the given number?
Level 3
Simon has some black and red balls. The total mass of all his balls is 242 g. He has 5 more red balls than black balls. The average mass of the black balls is 6 g. The average mass of the red balls is 10 g. How many balls does Simon have altogether?
Level 3
Kylie bought some Geography books at $17 each. She also bought an equal number of History books at a different price. The average price of one Geography and one History book was $10. Kylie paid $70 more for the Geography books than the History books.
Level 3
Reena bought some fruits. She spent $10 more than 23 of her money on some pears. She then spent $8 more than 20% of the remaining money on some pineapples. Given that she had $16 left,
how much did Reena have at first?
how many kilograms of pineapples did she buy if they cost $2 per kg?
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
A basket which contains 8 similar packets of sugar and 6 similar packets of salt has a mass of 6 kg 960 g. The basket alone is 480 g. Each packet of sugar has a mass of 540 g. Find the mass of each packet of salt in kg.
Level 3
Lynn paid $410 for some wafers and scones. The ratio of the boxes of wafers to the boxes of scones was 3 : 2. Each box of wafers cost $5 more than each box of scones. She paid $130 more for the wafers than the scones. What was the price of each box of wafers?
Level 2 Tony paid $63.80 for a hat, a shirt and a watch. The shirt cost $4.50 more than the hat. The watch cost $9.80 more than the shirt. Find the total cost of the watch and the hat.
Level 3
Ivory receives $10 more allowance than Neave each day. Ivory spends $9 more than Neave each day. Their remaining money was saved. How much more money will Ivory save than Neave after 3 days?
Level 3
There were some cars, vans and buses. 23 of the total vehicles were cars and vans. There were 16 buses and thrice as many cars as vans. How many more cars than vans were there?
Level 3
Mrs Anis measured and recorded the mass of Amanda, Bee Ling, Charles and Dai Ling. The average mass of these 4 children was 49 kg. The next day, Mrs Anis realized that she had recorded Amanda's mass wrongly. Amanda's recorded mass was 8 kg more than her actual mass. What was the correct average mass of the 4 children?
Level 3 Charlie bought 54 more stickers than John and John bought 17 stickers more than Ann. The total number of stickers Charlie and John bought was 6 times the number of stickers Ann bought.
How many stickers does Charlie need to give John so that they have the same number of stickers?
How many stickers did all three of them have altogether?
Level 3
Mei had a piece of wire 180 cm long. She wanted to bend the wire into a figure shown. How much more wire did she need?
(Note: All lines meet at right angles)
Level 3
Mei had a piece of wire 180 cm long. She wanted to bend the wire into a figure shown. How much more wire did she need?
(Note: All lines meet at right angles)
Level 3
Mrs. Ben made 248 more white chocolate cookies than dark chocolate cookies. After she gave away 57 of the white chocolate cookies and 13 of the dark chocolate cookies, there were an equal number of white chocolate cookies and dark chocolate cookies left. How many white chocolate cookies did she give away?
