Level 3
The figure is not drawn to scale. It is formed by quadrants and semicircles of two sizes. The radius of the larger quadrant is 3 cm longer than the radius of the smaller quadrant. The radius of the smaller quadrant (Line B) is 12 cm.
Find the area of the shaded part.
Find the perimeter of the dotted line. (Take π = 3.14)
Level 3
The figure is not drawn to scale. It is formed by quadrants and semicircles of two sizes. The radius of the larger quadrant is 3 cm longer than the radius of the smaller quadrant. The radius of the smaller quadrant (Line B) is 12 cm.
Find the area of the shaded part.
Find the perimeter of the dotted line. (Take π = 3.14)
Level 3 PSLE
Wendy spent 16 of her money on a dress and 3 belts. The dress cost 2 times as much as each belt. Wendy spent 34 of her remaining money on a watch. She spent $160.65 more on the watch than on the 3 belts.
What fraction of Wendy's money was spent on each belt?
Level 3
There were some pupils in a museum. 13 of the pupils lined up in 16 short rows and 12 of the pupils lined up in 6 long rows. The remaining pupils did not line up. There are 12 more pupils in each long row than each short row.
Level 3
At 08 00, Ali left Town P and cycled towards Town Q. Grace left Town P and cycled towards Town Q at 08 30. Grace's cycling speed was 2 km/h faster than Ali. At 12 00, Grace caught up with Ali. Find the cycling speed of each cyclist.
Level 3
Henry and Peter had $690. Henry spent 49 of his money on a television. Peter spent 14 of his money on a stereo system. The television cost $140 more than the stereo system. How much money had Henry left?
Level 3
City X and City Y are 420 km apart. At 3.45 p.m., Joni is travelling at a uniform speed left City X for City Y while Ben set off from City Y to City X along the same road at a uniform speed, which was 12 km/h slower than that of Joni. The two met at 6.45 p.m.
Find the speed of Joni.
If Ben continued to travel at the same speed, how long would it take for him to reach his destination after the two met? Express the answer in mixed number.
Level 3
Raju and Shian left Town A for Town B at the same time. When Raju reached Town B in 4 hours, Shian had only completed 38 of the distance between the two towns. Shian's speed was 30 km/h slower than Raju. What was Raju's speed?
Level 3
Nick spent $716 on jackets and cardigans. The number of cardigans he bought was 12 the number of jackets he bought. The cost of a cardigan was $11 more than the cost of a jacket. He paid $180 more on jackets than on cardigans. Find the cost of 8 jackets and 5 cardigans.
Level 3
A shop owner paid a total of $520 for some shirts and some blouses. He paid $200 less for the shirts than the blouses. Each blouse cost $4 more than
each shirt. The number of shirts he bought was 23 of the number of blouses bought.
Level 3
There were 801 students at a cinema at first. After 27 of the girls and 12 of the boys left, there were still 103 more boys than girls at the cinema. How many boys were there at first?
Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.
The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
What is the area of the shaded part?
Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.
The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
Level 3 PSLE In Figure 1, WXYZ is a rectangular piece of paper. After 4 identical triangles are cut out from the paper, the remaining paper is shown in Figure 2. The area of the remaining paper is 186 cm2.
What is the area of each triangle that was cut out?
The perimeter of Figure 2 is 36 cm longer than the perimeter of Figure 1. What is the perimeter of each triangle?
Level 3 PSLE In Figure 1, WXYZ is a rectangular piece of paper. After 4 identical triangles are cut out from the paper, the remaining paper is shown in Figure 2. The area of the remaining paper is 186 cm2.
What is the area of each triangle that was cut out?
The perimeter of Figure 2 is 36 cm longer than the perimeter of Figure 1. What is the perimeter of each triangle?
Level 1 PSLE
Cody packed 596 buttons into four cartons, labelled A, B, C and D. Carton A had the most number of buttons and Carton D had the least. The difference in the number of buttons between Carton A and the number of buttons in the other three cartons were 12, 36 and 64 respectively. How many buttons were there in Carton D?
Level 2 PSLE
Two numbers add up to 425. If one of them is a 2-digit number and the other is a 3-digit number, what is the largest possible difference between the two numbers?
Level 2
Anna had 76 more marbles than Wendy at first. Wendy gave 19 of her marbles to Anna. Anna now has 3 times as many marbles as Wendy. How many marbles did Wendy have at first?
Level 2 PSLE
Reggie and Xuan have some erasers. After Reggie gives 28 erasers to Xuan, he has 30 erasers more than her. How many more erasers than Xuan does Reggie have at first?
Level 2 PSLE
Abel had 13 more two-dollar notes than five-dollar notes at first. He exchanged $20 worth of five-dollar notes for two-dollar notes. How many less five-dollar notes than two-dollar notes did Abel have after the exchange?
Level 3 PSLE
Ben had $15 more than Lina at first.
After Ben gave some of his money to Lina, he had $21 less than Lina. How much money did Ben give to Lina?
