Level 3
A shop owner had three boxes, containing a total of 1500 plastic cups. The number of plastic cups in Box A to the total number of plastic cups was 3 : 10. He sold 330 plastic cups from Box B and sold 13 of the plastic cups in Box C. The number of plastic cups left in Box B to the number of plastic cups left in Box C was 3 : 1. How many plastic cups were there in Box B at first?
Level 3
The figure, not drawn to scale, is made up of 2 triangles, AGH and EGH. AB is 12 of EF. CD is 23 of AB and the difference between EF and CD is 12 cm. Given that HG = 10 cm, find the area of the entire figure.
Level 3
The figure, not drawn to scale, is made up of 2 triangles, AGH and EGH. AB is 12 of EF. CD is 23 of AB and the difference between EF and CD is 12 cm. Given that HG = 10 cm, find the area of the entire figure.
Level 3
The figure is made up of a four-sided figure and a circle. The area of the four-sided figure is 37 of the area of the circle. Given that 13 of the circle is shaded and the area of the shaded part is 42 cm2, what is the difference between the area of the circle and the area of the four-sided figure?
Level 3
The figure is made up of a four-sided figure and a circle. The area of the four-sided figure is 37 of the area of the circle. Given that 13 of the circle is shaded and the area of the shaded part is 42 cm2, what is the difference between the area of the circle and the area of the four-sided figure?
Level 3
Jake arranged 3 beads and 3 sticks to form Pattern 1. Then he added 3 more beads and 6sticks to form Pattern 2. He continued to form patterns in the same way.
How many beads will he need to form Pattern 7?
How many sticks will he need to form Pattern 5?
Level 3
Jake arranged 3 beads and 3 sticks to form Pattern 1. Then he added 3 more beads and 6sticks to form Pattern 2. He continued to form patterns in the same way.
Level 3
The ratio of Yvette's money to Linda's money was 1 : 3. After Yvette spent thrice as much as Linda, Yvette and Linda had $6 and $42 left respectively. Find the amount of money each of the girls have at first.
Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is 45 full of water. When 14 of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.
Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is 45 full of water. When 14 of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.
Level 3
The figure, not drawn to scale, is made up of two identical squares, X and Z and a rectangle Y. The ratio of the area X to the area of Y to the area of Z is 1 : 2 : 1. The ratio of the unshaded part of X to the unshaded part of Z is 2 : 3 respectively. Given that half of the area of X is shaded and the total area of all the shaded parts is 48 m2, what is the area of the whole figure?
Level 3
The figure, not drawn to scale, is made up of two identical squares, X and Z and a rectangle Y. The ratio of the area X to the area of Y to the area of Z is 1 : 2 : 1. The ratio of the unshaded part of X to the unshaded part of Z is 2 : 3 respectively. Given that half of the area of X is shaded and the total area of all the shaded parts is 48 m2, what is the area of the whole figure?
Level 3
A flyer distributor earned $1.25 for every 100 flyers distributed. She was paid an additional bonus for $2 for every 1000 flyers given out. How much would she earn for distributing 2500 flyers?
Level 3
A flyer distributor earned $1.25 for every 100 flyers distributed. She was paid an additional bonus for $2 for every 1000 flyers given out. How much would she earn for distributing 2500 flyers?
Level 3
Container A and B are identical containers with the same base area and height. Container A is filled to the brim with water while Container B is empty. After 240 cm3 of water is poured into Container B from Container A, the depth of water in Container B is 14 the depth of water in Container A. If the height of the container is 25 cm, what is the base area of Container B?
Level 3 Carla had 384 stamps. Nicky had 34 of what Carla had. After Carla used some of his stamps and Nicky used 13 of his stamps, Carla had 23 as many stamps left as Nicky.
Level 3
The rectangular piece of wood shown in Figure 1 has a perimeter of 68 cm. Fatimah arranged 4 such rectangular pieces of wood to form a figure as shown in Figure 2.
Find the length of the rectangular piece of wood.
Find the shaded area in Figure 2.
Level 3
The rectangular piece of wood shown in Figure 1 has a perimeter of 68 cm. Fatimah arranged 4 such rectangular pieces of wood to form a figure as shown in Figure 2.
Level 3
Charlie bought $642 worth of staplers and pens. He bought thrice as many pens as staplers. He spent $334 more on pens than on staplers. Each stapler cost $1.60 more than each pen. Find the price of a stapler.
Level 3
Howard sold 57 more blueberry muffins than banana muffins on Thursday. On Friday, the number of banana muffins he sold decreased by 80% while the number of blueberry muffins he sold remained the same. He sold each tart for $1.80. He sold a total of 153 muffins on Friday. How much money did he receive from the sale of muffins on both days?
Level 3 Ana bought pieces of paper to make 3 lanterns. She used 15 of the pieces of paper on the first lantern. She used 40 more pieces of paper on the second lantern than the first lantern. She used the remaining 65 pieces of paper on the last lantern. How many pieces of papers did she buy?
Level 3
In an envelope, there were a total of 144 notes. 75% of them were $1-notes. The rest were $2-notes. Neave took out some $1-notes. As a result, the remaining $1-notes made up 25% of the notes left in the envelope. Find the total value of the $1-notes Neave took out from the envelope.
Level 3 Siti had some stickers at first. She gave 29 of her stickers to her brother and 16 of her stickers to her best friend. After that, her mother gave her another 10 stickers. She had 87 stickers in the end. How many stickers did Siti have at first?
Level 3
At first, a pot contained 25 ℓ of water. Keisha added another 12 ℓ of water into the pot. Then she used 29 of all the water in the pot. How much water did Keisha use? Express your answer as a fraction in its simplest form.
Level 3
Jim started saving part of his pocket money by putting 2 coins in a money box every day. Each coin was either a 20¢ or 50¢ coin. His mother also put on a $1 coin in the box every 7 days. The total value of the coins after 98 days was $82.30.
Level 3
Zoe, Fanny, Eric and Olivia shared some pens. Zoe and Fanny took 15 of the total number of pens while Eric and Olivia took the rest. Fanny had four times as many pens as Zoe and Olivia had 176 pens. Given that Eric had four times as many pens as Fanny, how many pens were there altogether?
