Level 3
There is a 4-digit number. The digit in the hundreds place is thrice the digit in the ones place. The digit in the thousands place is the smallest even number. The sum of all the digits is 21. What is the number?
Level 3
The average points accumulated by 6 children is 91.5. They have all attained different points which are whole numbers. The lowest point is 70 while the highest point is 100.
Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
Find the smallest possible second lowest mark among these 6 children.
Find the largest possible second lowest mark among these 6 children.
Level 3
Mr Tan wants to put all 27 boys and 72 girls into groups for an activity. There are more girls than boys in each group. Each group must have the same number of boys. Each group must also have the same number of girls.
What is the greatest number of groups Mr Tan can form with these conditions?
Level 3
Becky filled a rectangular container which had a base area of 40 cm2 and a height of 25.2 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 1.6 cm.
What was the length of each side of the metal cube?
After Becky removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.35 ℓ. What was the maximum number of bottles she could fill?