Planet Kufa Mathematics
Initial Maths Consultation
Year 8 → Year 9 Diagnostic Assessment
A focused initial assessment designed to identify a learner’s current mathematical strengths, areas for development and readiness for Year 9.
Based on the UK / English curriculum and suitable for learners attending British-curriculum schools in the UAE.
What the consultation will cover
Number Skills
Fractions, decimals, percentages, integers and calculations.
Algebra
Expressions, equations, substitution and sequences.
Ratio & Proportion
Ratio, percentage problems and proportional reasoning.
Geometry & Measures
Angles, area, perimeter, volume and shape knowledge.
Statistics & Probability
Mean, median, range and basic probability.
Year 9 Readiness
A small number of extension questions to identify higher-level readiness.
How the initial consultation works
- Brief discussion with the parent and learner.
- Review of current school year, curriculum and any areas of concern.
- Completion of a Year 8 → Year 9 maths diagnostic assessment.
- Review of strengths and learning gaps.
- Recommendation of an appropriate tuition or revision programme.
About the assessment
The assessment is diagnostic rather than a formal school examination. Its purpose is to find the learner’s current starting point and determine what should be taught next.
- Approximate assessment time: 45–60 minutes
- Suitable for a learner moving from Year 8 into Year 9
- UK / English National Curriculum focus
- Includes automatic topic-by-topic analysis
- Results can be discussed during the consultation
Assessment Area
The Year 8 → Year 9 diagnostic assessment can be placed here during the initial consultation.
Temporary page:
This page is currently being used for initial maths consultation and
assessment. A fuller online learning area will be added later.
Year 8 → Year 9 Maths Pre-Assessment
UK / English National Curriculum
Suitable for students studying in the UAE
Assessment Instructions
- Suggested time: 60 minutes.
- Complete Sections A and B without a calculator where possible.
- A calculator may be used for Section C.
- Show working where appropriate.
- The assessment is diagnostic and is intended to identify areas for Year 9 preparation.
Section A — Number Skills
1. Calculate:
a) 348 + 579 =
b) 904 − 367 =
c) 24 × 17 =
d) 672 ÷ 8 =
2. Integers
a) −7 + 12 =
b) 5 − 13 =
c) −4 × 6 =
3. Calculate 3/4 + 2/5.
4. Calculate 5/6 − 1/4.
5. Write 0.375 as a fraction in its simplest form.
6. Find 15% of 240.
Section B — Algebra, Ratio & Proportion
7. Simplify: 5x + 3x − 4
8. Expand: 4(x + 3)
9. Expand and simplify: 3(2x + 5) + 2x
10. Solve: x + 7 = 19
11. Solve: 3x = 27
12. Solve: 4x + 5 = 21
13. If x = 4 and y = 3, calculate 2x + 5y.
14a. Continue the sequence: 5, 9, 13, 17, …
14b. Find the nth term of 5, 9, 13, 17, …
15. Divide AED 84 in the ratio 3:4.
16. Flour and sugar are used in the ratio 5:2. If 300 g of flour is used, how much sugar is required?
17. A jacket costs AED 250 and is reduced by 20%. What is the sale price?
Section C — Geometry, Measures, Statistics & Probability
18. Find the perimeter of a rectangle measuring 12 cm by 7 cm.
19. Find the area of the same rectangle.
20. A triangle has base 10 cm and perpendicular height 7 cm. Find its area.
21. Two angles in a triangle are 48° and 67°. Find the third angle.
22. One angle on a straight line is 124°. Find the other angle.
23. A cuboid measures 6 cm × 4 cm × 5 cm. Find its volume.
24a. The temperatures are 28, 31, 29, 34, 28. Find the mean.
24b. Find the median.
24c. Find the range.
25. A bag contains 5 red, 3 blue and 2 green balls. What is the probability of selecting a blue ball?
Year 9 Readiness Challenge
These questions do not count towards the main assessment score.
26. Solve: 5x − 7 = 3x + 9
27. A phone increases from AED 800 to AED 920. Find the percentage increase.
28. Simplify: 3a² × 4a
29. The exterior angle of a regular polygon is 30°. How many sides does it have?
30. A car travels 180 km in 2 hours 15 minutes. Find its average speed.
Assessment Result
Skill Breakdown
Number
Algebra
Ratio & Proportion
Geometry & Measures
Statistics & Probability