Provide 90 multiple choice questions and answers on specific Year 6 or 7 maths topics to help prepare an 11 year old for private school scholarship testing.
We require 3 problems on each of 30 topics, each question will have a varying degree of difficulty.
The difficulty of the questions should be from medium to hard to challenging, but should be solvable in about 30 to 60 seconds. No easy questions.
The questions should largely be in textual format, not straight out equations.
Some questions will require diagrams, graphs, or shapes
The 30 topics are:
1. Ordering of numerical operations
2. Volume of rectangular box given the area, or area given the volume
3. Find the rate given some information
4. Find the shaded area of two overlapping squares or shapes
5. Solve the fraction given percentages
6. Solve the fraction involving addition
7. Interpret graphs of distance and time
8. Find the square of a fraction
9. Solve a problem by finding the unknown number
10. Find missing number in sequence
11. Solve a problem involving percentages
12. Solve a word problem involving percentages
13. Solve a word problem involving numerical operations
14. Solve a problem involving area
15. Solve a word problem involving area
16. Find the sum of numbers given their product
17. Solve the word problem involving probability
18. Identify the number of parallelograms or triangles in a certain shape
19. Find the differences between two areas
20. Find the missing angle
21. Solve an equation involving fractions and percentages
22. Solve a given problem requiring use of algebra
23. Solve a word problem involving rate and time
24. Find the original cost given percentages
25. Find earnings from the graph given
26. Solve the equation using substitution
27. Find the direction given angles
28. Find the expenditure from the graph given
29. Find expenditure given word question
30. Determine the quickest given distances and times
There are many online tests with questions and problems, but we are looking for either a selection of the most challenging of these, or some that have been uniquely written by yourself to challenge the students ability to work out how to solve.
If any of the above topics seem too vague or unclear, you can substitute the topic for another of similar mathematical challenge.