Sample Junior Maths Competition
Maximum time allowed is 40 minutes. Calculators may be used.
1. 25% of 48 is equal to?
5 points
2. How many factors does 12 have?
5 points
3. What is the sum of the first ten positive odd whole numbers?
5 points
4. If x = 0.4, y = 1.1 and z = 0.2, the value of (xy)/z is?
5 points
5. How many whole numbers between 100 and 300 are there, with the sum of their digits equal to 11?
5 points
6. Alan, Bert and Carol pick strawberries. Working two at a time, Alan and Carol can pick 100 boxes a day, Alan and Bert can pick 110 boxes a day and Bert and Carol can pick 90 boxes a day. How many boxes a day could Carol pick when she works alone?
7 points
7. In 2 years time John will be 5 times as old as his daughter and half as old as his father. His father is 78. How old is his daughter?
7 points
8. A price increase of 25% is followed by another price increase of 4% is the same as a single price increase of ?
7 points
9. A painted straight line is 0.5mm wide and covers an area of 1 square metre. How long is the line in metres?
7 points
10. When you write down all the two digit whole numbers, how many odd digits are written? For example when you write 53 two odd digits are written.
7 points
11. If x is a number between 15 and 30 and y is a number between 3 and 8, then x divided by y is a number between...?
8 points
12. How many triangles of all sizes appear in the diagram?
8 points
13. My twelve hour clock runs backwards. If it now displays the correct time in how many hours will it next display the correct time?
8 points
14. John shot at a target. He missed the target 25% of the time. Whenever he hit the target he scored either 5 or 18 points. His total score was 99. How many times did he fire at the target?
8 points
15. A florist has 72 roses, 90 tulips and 60 daffodils. She uses all of them to make as many identical bouquets as possible. How many flowers does the florist put in each bouquet?
8 points