Number Skills Clinic

Rebuild the number skills under every WASSCE topic: negatives, fractions, order of operations, indices, standard form and surds.

Many learners who “can’t do” algebra, percentages or graphs are actually stuck one level lower: on negatives, fractions, decimals, powers or order of operations. Those number skills sit under almost every WASSCE Mathematics question, and when one of them is shaky, a correct method still produces a wrong answer.

The Number Skills Clinic rebuilds them one at a time. Each lesson names one skill, shows the mistake examiners see most, explains the idea behind it, and gives you practice with answers so you can check yourself.

What you’ll be able to do by the end

  • Handle negatives, fractions and decimals without fear
  • Use order of operations to read any expression correctly
  • Apply the laws of indices, including zero, negative and fraction powers
  • Write and read numbers in standard form, and tell decimal places from significant figures
  • Simplify surds and rationalise denominators
  • Estimate first, so you can tell when an answer is wrong

Number skills in one page

Ten number skills under every Mathematics topic: place value, integers, factors, fractions, decimals, percentages, order of operations, rounding, estimation, units
Ten skills under every topic.

1. Place value and the number foundation

Know how big a number is before you do anything with it. Each place to the right is ten times smaller, so 0.6 and 0.06 are very different numbers.

Place value chart showing 6, 0.6 and 0.06 in units, tenths and hundredths
Place value decides the size.

2. Fractions, decimals and percentages

These are three names for the same value. Only same-sized pieces can be added, and “of” means multiply.

Table of equivalents: ½ = 0.5 = 50%, ¼ = 0.25 = 25%, ¾ = 0.75 = 75%, ⅕ = 0.2 = 20%, ⅛ = 0.125 = 12.5%
One value, three names.

3. Order of operations

Brackets, then powers, then × and ÷ from left to right, then + and − from left to right. Division does not always come before multiplication: they share a level.

BODMAS as four levels: brackets, powers, × and ÷ together, + and − together
Four levels, not six.

4. Indices

Check the base first, then let the operation choose the law. A negative power means reciprocal, never a negative answer.

Chart of index laws: multiply add, divide subtract, power of power multiply, zero power 1, negative reciprocal, fraction root
Same base first, then the operation.

5. Standard form and powers of ten

The first number sits between 1 and 10; the power carries the size. Decide whether the number is big or small before you count the hops.

Size check: numbers of 10 or more get positive powers, numbers less than 1 get negative powers
Decide the sign of the power first.

6. Surds

Find the biggest square factor, simplify, and combine only like surds. To rationalise, multiply by a form of 1.

Square numbers 4 to 81 and the steps √12 = √(4 × 3) = 2√3
Square numbers unlock every surd.

The lessons

The first Number Skills lessons go live on 14 December, one a day.

Practise as you go

After each lesson, try mixed questions in the Practice Zone. Not sure which skill is weak? Start with Find Your Maths Gap.

The number mistakes examiners see most

MistakeFix
3 + 4 × 2 = 14Multiply before adding: 11
½ + ⅓ = 2/5Same-sized pieces first: 5/6
2⁻³ = −8Negative power means reciprocal: 1/8
56 × 10³ called standard formFirst number must be 1 to 10: 5.6 × 10⁴
√9 + √16 = √25Roots do not add inside: 3 + 4 = 7
Rounding halfway throughRound once, at the end

Questions learners often ask

Is it too late to fix number skills in SHS 3?

No. Each skill can be repaired in days if you practise that exact skill and check your answers.

Which lesson should I start with?

If you are unsure, start with the number skills overview and the number foundation check. They show which skill to fix first.

Can I use a calculator?

Yes, to confirm your work. Estimate first and work the method yourself, then let the calculator check it.

This clinic is part of How to Pass WASSCE and NOVDEC Core Maths.

Sources and further reading

These lessons are built on what WAEC examiners report year after year, matched to Ghana’s SHS curriculum.

Dickson Sarpong, SHS Mathematics teacher and founder of The Maths Clinic
Written by Dickson Sarpong

NTC-certified SHS Mathematics teacher in Ghana with WAEC marking experience, and author of The Bridge Series textbooks. Every lesson here is built around the mistakes WAEC examiners keep reporting.

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The Bridge Series: The Bridge to Mathematics and The Bridge to Additional Mathematics for SHS

Want the whole topic, step by step? My textbooks, The Bridge to Mathematics and The Bridge to Additional Mathematics for SHS, follow the new curriculum and rebuild the basics as you go.

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