Level 3
Two identical pails C and D contained some water. Pail C was 14 filled and Pail D was 1/5 filled. The ratio of the total mass of Pail C and the water in it to the total mass of Pail D and the water in it was 8 : 7. The total mass of the two pails and the water they contained was 3150 g. What is the mass of an empty pail?
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure?
(Take π = 227)
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure?
(Take π = 227)
Level 3
Tabitha purchased a bottle of rose syrup to make drinks. She used 37 of the liquid in January. She then used the remaining syrup in February and March in the ratio 3 : 7. Given that the amount of the rose syrup used in January was 0.18 ℓ more than that used on the February, how many millilitres of rose syrup did the bottle contain at first?
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is 35 the area of Pentagon B. The area of Pentagon B is 35 the area of Pentagon C.
Find the ratio of the area of Pentagon A to the area of Pentagon C.
23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is 35 the area of Pentagon B. The area of Pentagon B is 35 the area of Pentagon C.
Find the ratio of the area of Pentagon A to the area of Pentagon C.
23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
Level 3
There were some red, blue and green pens in a box. 19 of the pens were blue. The ratio of the number of red pens to the number of green pens was 3 : 5. There were 288 fewer blue pens than green pens.
Find the ratio of the number of red pens to the number of blue pens to the number of green pens in the box.
Level 3
Lennie gave 58 of his salary to his wife. He gave 15 of his salary to his four children and left the rest for himself. He had $420 left for himself. Given that his four children received the same amount each, how much did each of his four children receive?
Level 3
The ratio of saloon cars to the total number of cars on display in Ken's car shop was 2 : 7. 25 of the remaining bikes on display were family cars and the rest were electric cars and sports cars in the ratio of 10 : 3. If there were 16 more electric cars than saloon cars, how many sports cars were there?
Level 2
The bar graph shows the number of packets of different food collected in a donation drive.
15 of the total number of packets of food collected was coffee. How many packets of rice were collected?
The table shows the mass of each packet of food. What is the difference between the total mass of noodles collected and the total mass of biscuits collected? Give your answer in kg.
Level 2
The bar graph shows the number of packets of different food collected in a donation drive.
15 of the total number of packets of food collected was coffee. How many packets of rice were collected?
The table shows the mass of each packet of food. What is the difference between the total mass of noodles collected and the total mass of biscuits collected? Give your answer in kg.
Level 3
At a school sports festival, 13 of the participants were P5 and P6 students. 25 of the remaining participants were P3 and P4 students. The rest were P1 and P2 students in the ratio of 3 : 7 respectively. There were 208 fewer P1 students than the total number of P5 and P6 students. How many students were there at the school sports festival?
