Tag: Revision

Year 10 trigonometry SOHCAHTOA: what to know

This practical guide explains Year 10 trigonometry SOHCAHTOA through examples, checks and realistic next steps for students and parents.

What SOHCAHTOA means

The hypotenuse is always opposite the right angle. Opposite and adjacent depend on which acute angle is being considered.

Example 1: find the opposite side

In a right triangle, angle θ = 30° and hypotenuse = 10 cm. Since sin 30° = opposite/10, opposite = 10 × 0.5 = 5 cm.

Example 2: find the adjacent side

If θ = 60° and the hypotenuse is 8 m, adjacent = 8 × cos 60° = 4 m. Verify the answer is shorter than the hypotenuse.

Example 3: find an angle

Opposite = 6 cm and adjacent = 8 cm. tan θ = 6/8 = 0.75. Therefore θ = tan⁻¹(0.75) ≈ 36.9°. Use degree mode, not radian mode, on your calculator.

Five mistakes students should avoid

• Using SOHCAHTOA for a triangle that is not right-angled.
• Labelling “opposite” without first choosing the reference angle.
• Using a calculator in radian mode when the question uses degrees.
• Rounding intermediate values too soon.
• Omitting units or failing to check whether the length is sensible.

A quick 15-minute practice plan

1. Draw and label two right triangles.
2. For each, identify the hypotenuse, opposite and adjacent.
3. Solve one side-length and one angle question.
4. Check with a different strategy or estimate.
5. Explain why that trig ratio was selected.

For examination practice use past papers and mark schemes directory, or explore IGCSE Maths tutoring in Abu Dhabi for IGCSE-focused support.

Questions parents and students ask

Maths test anxiety advice for parents Abu Dhabi: what to know

This practical guide explains maths test anxiety advice for parents Abu Dhabi through examples, checks and realistic next steps for students and parents.

Signs that a maths test feels overwhelming

• The student knows a method at home but struggles to begin under time pressure.
• They repeatedly say they are “bad at maths” after one wrong answer.
• They avoid practice because they expect criticism.
• They rush, skip instructions or repeatedly erase correct work.

These behaviours do not by themselves diagnose an anxiety disorder. If distress is persistent or interferes with daily life, consider seeking advice from a qualified school counsellor or healthcare professional.

Create a calmer practice environment

1. Use a consistent ten-minute warm-up with familiar questions.
2. Practise one new skill, followed by one mixed question.
3. Allow the student to explain a method in their own words.
4. Review one error without giving a judgement about intelligence.
5. End with a small achievable next step.

What to say instead of “just try harder”

A two-week confidence-building routine

Week 1: three short untimed sessions, one mistakes log and a mixed quiz with feedback. Week 2: two untimed sessions, one gentle timed set and a conversation about which strategy helped. Keep breaks and sleep consistent.

When tutoring may help

A tutor can help break large topics into manageable steps and practise questions at an appropriate difficulty. That is an educational support option, not treatment for clinical anxiety. If you are considering guidance, browse Maths tutoring options in Abu Dhabi and request a free 30-minute demo.

A parent checklist for the next maths assessment

• Confirm the test topics and allowed equipment.
• Make one-page notes showing common mistakes.
• Practise with a timer only after the method is secure.
• Encourage hydration, rest and realistic expectations.
• Praise the strategy used, not only the score.

Questions parents and students ask

Abu Dhabi maths revision October 2026: what to know

This practical guide explains Abu Dhabi maths revision October 2026 through examples, checks and realistic next steps for students and parents.

Before the break: identify the gaps

Ask your child to complete 8–10 mixed questions from recent classwork without help. Mark each answer as secure, almost there or needs practice. Select only two priority topics for the week. A student who struggles with fractions, for example, may not benefit from beginning with advanced algebra.

A practical five-day revision timetable

Take short breaks and reduce the session length for younger learners. The timetable is a suggestion, not a rule for every family or school.

Choose the right topics for the year group

• Years 5–6: place value, fractions, percentages and clear written reasoning.
• Years 7–8: ratios, negative numbers, equations and interpreting word problems.
• Years 9–10: algebra, graphs, geometry and exam-style problem solving.
• IGCSE/A Level: match practice questions to the correct exam board and syllabus.

How to use past papers without overwhelming students

Select three relevant questions, not an entire examination paper, when a topic is still new. Compare answers with the scheme, note the reason for each lost mark and try a similar question two days later. Browse the past papers and mark schemes directory for age-appropriate examination resources.

What parents can do this October

Ask “Which step felt unclear?” rather than “Why did you get it wrong?” A short explanation in your child’s own words shows understanding better than copying a model answer. If the same mistake returns three times, break the topic into a smaller prerequisite skill.

Questions parents and students ask

Official reference: UAE Ministry of Education academic calendar.

Year 7 maths fractions mistakes: what to know

This practical guide explains Year 7 maths fractions mistakes through examples, checks and realistic next steps for students and parents.

Mistake 1: adding denominators

Incorrect: 1/4 + 1/4 = 2/8. Correct: 1/4 + 1/4 = 2/4 = 1/2. When denominators are equal, keep that denominator and add the numerators.

Mistake 2: forgetting a common denominator

To add 1/2 + 1/3, rewrite as 3/6 + 2/6 = 5/6. Do not add the top numbers and bottom numbers separately.

Mistake 3: assuming a larger denominator means a larger fraction

Compare 1/5 and 1/3 using a bar or number line. One third is larger because the same whole is divided into fewer equal parts.

Mistake 4: not simplifying the final answer

For 6/8, divide the numerator and denominator by their common factor 2 to get 3/4. Simplifying changes the form, not the value.

Mistake 5: multiplying with the wrong rule

For 2/3 × 3/5, multiply numerators and denominators: 6/15 = 2/5. You do not need common denominators for multiplication.

A five-question self-check

1. Write an equivalent fraction for 2/3 with denominator 12.
2. Calculate 2/7 + 3/7.
3. Calculate 1/2 + 1/4.
4. Simplify 12/18.
5. Which is larger: 3/4 or 2/3?

Answers: 8/12; 5/7; 3/4; 2/3; 3/4. Ask the student to explain the reasoning behind each answer.

How parents can help at home

Use pizza slices, measured recipes or drawings of equal-sized bars. Consistently refer to the same whole. If your child needs foundational help, see primary Maths tutoring or the wider Maths tutoring options in Abu Dhabi options.

Questions parents and students ask

Year 8 maths ratio and proportion: what to know

This practical guide explains Year 8 maths ratio and proportion through examples, checks and realistic next steps for students and parents.

Ratio versus proportion: what changes?

A ratio compares quantities, such as 2 red counters to 3 blue counters (2:3). Proportion describes two quantities changing at matching rates, such as doubling a recipe while keeping ingredient ratios constant.

Example 1: simplify a ratio

There are 12 red counters and 18 blue counters. The ratio red:blue is 12:18. Divide both parts by 6 to get 2:3. Check the order of words in the question.

Example 2: share an amount

Share AED 150 in the ratio 2:3. Total parts = 5. One part = AED 30. The shares are 2 × 30 = AED 60 and 3 × 30 = AED 90.

Example 3: scale a recipe

A recipe needs 200 g of flour for four servings. For ten servings, multiply by 10/4 = 2.5. Flour needed = 500 g. Label the units to reduce mistakes.

Example 4: unit rate

Three notebooks cost AED 24. Each notebook costs AED 8, so seven notebooks cost AED 56 at the same rate. First divide to find the cost of one.

Six-question practice set

1. Simplify 9:15.
2. Share AED 80 in the ratio 1:3.
3. A 2:5 ratio has 8 in the first part; find the second.
4. Five pens cost AED 35; find the price of eight.
5. Scale 300 mL for three servings to five servings.
6. Explain why 2:3 equals 6:9.

Answers: 3:5; AED 20 and AED 60; 20; AED 56; 500 mL; both parts were multiplied by 3.

An easy parent check

Ask students whether their solution makes practical sense: if the quantity of servings increases, the ingredient amount should increase too. For additional guidance, explore Maths tutoring options in Abu Dhabi and compare the approach in our companion Year 7 fractions article.

Questions parents and students ask