Level 3
The length of the Rectangle VWXY is 10 13 m. Its breadth is 2 15 m shorter than its length. Find the perimeter of Rectangle VWXY in metres. Express your answer as a mixed number in its simplest form.
Level 3
The length of the Rectangle VWXY is 10 13 m. Its breadth is 2 15 m shorter than its length. Find the perimeter of Rectangle VWXY in metres. Express your answer as a mixed number in its simplest form.
Level 3
Xavier, Peter, Nick and Sean bought a projector for their aunt. Xavier paid 13 of what the rest paid. Peter paid 15 of what the rest paid. Nick paid
14
of what the rest paid. Sean paid $48 more than Xavier. How much did the projector cost?
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 PSLE
Mrs Curry bought a bag and a pair of shoes at a discount. She spent a total of $57.60 on these two items. She spent $9.60 more on the shoes than on the bag.
How much did she spend on the shoes?
The total discount given for the two items was $22.40. She was given a 25% discount for the bag. What was the percentage discount given for the shoes?
Level 3
A bus and a car started travelling from Town A to Town B at the same time. After 5 hours, the car reached Town B while the bus covered only 710 of the journey. The speed of the car was 21 km/h more than the speed of the bus. Find the speed of the bus.
Level 3
Jen and David started running together along a cross country track. When David completed the track in 40 minutes, Jen had run only 58 of the track. Jen’s average speed was 75 m/min slower than David’s.
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
Tank E contained 4 times as many guppies as Tank F. When 10% of the guppies in Tank E and 10% of the guppies in Tank F were transferred to Tank G, Tank G had 120 guppies, which was 20% more guppies than before. How many less guppies were there in Tank F than Tank E in the end?
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
Vincent had some pastries. 27 of them were tarts. The rest were cookies. He sold 35 of the tarts and 14 cookies. In the end, he had 131 pastries left. How many more tarts than cookies did he sell?
Level 3
Isabelle had $574 less than Jane. Jane spent 35
of her money and Isabelle spent 34 of her money. In the end, Jane had 3 times as much as Isabelle. Find the amount of money Isabelle had at first.
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
Roger had two planks of the same length. He sawed one plank into equal parts of length 90 cm. In each part he drilled 6 small holes as shown in Figure 1. After that, he sawed the other plank into equal parts of length 1.5 m and in each part, he drilled 8 big holes as shown in Figure 2. When he finished drilling, he counted that there were 12 more small holes than big holes. If all the holes are spaced equally, how many holes were there altogether?
Level 3
Roger had two planks of the same length. He sawed one plank into equal parts of length 90 cm. In each part he drilled 6 small holes as shown in Figure 1. After that, he sawed the other plank into equal parts of length 1.5 m and in each part, he drilled 8 big holes as shown in Figure 2. When he finished drilling, he counted that there were 12 more small holes than big holes. If all the holes are spaced equally, how many holes were there altogether?
