Grade 10 Mathematics Holiday Revision: Strand by Strand

Grade 10 Mathematics revision works best when it follows the curriculum, not a random pile of past questions. The KICD Grade 10 Mathematics curriculum design sets out three strands and fourteen sub-strands, with a suggested number of lessons for each. Those lesson numbers tell you something useful: where the teaching time went this year, and therefore where most of your child's marks were won or lost.

This guide takes the December holiday, from 26 October 2026 to 1 January 2027, and turns the Grade 10 Mathematics design into a strand-by-strand revision plan with fully worked examples. It works for Core Mathematics learners and, with the adjustments noted, for Essential Mathematics learners too. Our guide to revising every Grade 10 subject covers the rest of the timetable.

Information current as of October 2026. Sub-strands and lesson numbers are from the KICD Grade 10 Mathematics curriculum design dated June 2024. Your school may use a later rationalised version; ask the Mathematics teacher if a sub-strand below was not taught.

Grade 10 Mathematics: what the KICD design covers

Here is every sub-strand in the KICD Grade 10 Mathematics design, with its suggested number of lessons. A lesson in senior school is 40 minutes.

Strand	Sub-strand	Suggested lessons
1. Numbers and Algebra (31)	1.1 Real Numbers	6
	1.2 Indices and Logarithms	10
	1.3 Quadratic Expressions and Equations 1	15
2. Measurements and Geometry (121)	2.1 Similarity and Enlargement	12
	2.2 Reflection and Congruence	12
	2.3 Rotation	10
	2.4 Angle Properties of a Circle	15
	2.5 Trigonometry 1	15
	2.6 Area of Polygons	14
	2.7 Area of a Part of a Circle	12
	2.8 Surface Area and Volume of Solids	16
	2.9 Linear Motion	15
3. Statistics and Probability (28)	3.1 Statistics 1	16
	3.2 Probability 1	12
Total	14 sub-strands	180

That single fact should shape the holiday. A learner who is solid on algebra but weak on trigonometry, circles and volume is weak on two thirds of the year's work. Most holiday plans spend too long on algebra because it feels like "real" Mathematics. This one gives geometry the time the design gives it.

Core Mathematics and Essential Mathematics: what changes

KICD's notice of 23 December 2025 described the two options this way: Core Mathematics for learners pursuing the STEM pathway, and Essential Mathematics, focused on utilitarian (everyday, practical) skills, for non-STEM learners. Both are core. Both had a KNEC written SBA test in October 2026. The broad strands are the same; the depth and the type of question differ.

	Core Mathematics	Essential Mathematics
Who takes it	STEM pathway learners	Social Sciences and Arts and Sports Science learners
Status	Core subject	Core subject
Holiday emphasis	Algebraic method, proofs of circle properties, multi-step problems	Applied problems: money, measurement, maps, data
Worked examples below	All eight	Examples 3 to 8 first, then 1 and 2

The Grade 10 Mathematics holiday plan, week by week

Week 1 (26 October to 1 November) is rest. Christmas week is free. The seven working weeks below cover all fourteen sub-strands, about 30 to 40 minutes a day, five days a week.

Week	Sub-strands	Design lessons covered
2 to 8 Nov	Real Numbers; Indices and Logarithms	16
9 to 15 Nov	Quadratic Expressions and Equations	15
16 to 22 Nov	Similarity and Enlargement; Reflection and Congruence; Rotation	34
23 to 29 Nov	Angle Properties of a Circle; Trigonometry 1	30
30 Nov to 6 Dec	Area of Polygons; Area of a Part of a Circle	26
7 to 13 Dec	Surface Area and Volume; Linear Motion	31
14 to 20 Dec	Statistics 1; Probability 1; one mixed timed paper	28

Eight worked examples, one per key sub-strand

Each example shows every step. Method marks matter in senior school, so a learner should copy the layout, not just the answer.

Example 1: Indices and Logarithms

Given log₁₀ 2 = 0.3010, find log₁₀ 8 and log₁₀ 50.

1. 8 = 2³, so log 8 = 3 × log 2 = 3 × 0.3010 = 0.9030.
2. 50 = 100 ÷ 2, so log 50 = log 100 − log 2 = 2 − 0.3010 = 1.6990.

Example 2: Quadratic Equations

Solve 2x² + 3x − 2 = 0.

1. Find two numbers that multiply to 2 × (−2) = −4 and add to 3: they are 4 and −1.
2. Split the middle term: 2x² + 4x − x − 2 = 0.
3. Factorise: 2x(x + 2) − 1(x + 2) = 0, so (2x − 1)(x + 2) = 0.
4. So x = 1/2 or x = −2. Check by substituting both.

Example 3: Similarity and Enlargement

Two similar water tanks have heights 2 m and 3 m. The smaller has a surface area of 12 m² and holds 1,000 litres. Find the larger tank's surface area and capacity.

1. Linear scale factor = 3/2 = 1.5.
2. Area scale factor = 1.5² = 2.25, so surface area = 12 × 2.25 = 27 m².
3. Volume scale factor = 1.5³ = 3.375, so capacity = 1,000 × 3.375 = 3,375 litres.

Example 4: Trigonometry 1

A 5 m ladder leans against a wall, making an angle of 60° with the ground. How high up the wall does it reach? (sin 60° = 0.8660)

1. The ladder is the hypotenuse; the height is opposite the 60° angle.
2. sin 60° = height ÷ 5, so height = 5 × 0.8660 = 4.33 m (to 2 decimal places).

Example 5: Area of a Part of a Circle

Find the area of a sector of radius 7 cm and angle 90°. (Take π = 22/7.)

1. Area of the full circle = 22/7 × 7 × 7 = 154 cm².
2. The sector is 90/360 = 1/4 of the circle, so area = 154 ÷ 4 = 38.5 cm².

Example 6: Surface Area and Volume of Solids

A closed cylindrical tin has radius 7 cm and height 10 cm. Find its volume. (Take π = 22/7.)

1. Volume = πr²h = 22/7 × 7 × 7 × 10.
2. = 154 × 10 = 1,540 cm³, which is 1.54 litres.

Example 7: Linear Motion

A matatu starts from rest and reaches 20 m/s in 10 seconds at a steady rate. Find its acceleration and the distance covered.

1. Acceleration = change in velocity ÷ time = (20 − 0) ÷ 10 = 2 m/s².
2. On a velocity-time graph the distance is the area of the triangle: 1/2 × 10 × 20 = 100 m.

Example 8: Statistics 1 and Probability 1

The marks of five learners are 4, 6, 6, 8 and 11. Find the mean, mode and median. A bag holds 3 red and 5 blue counters; find the probability of picking red.

1. Mean = (4 + 6 + 6 + 8 + 11) ÷ 5 = 35 ÷ 5 = 7.
2. Mode = 6 (appears twice). Median = middle value = 6.
3. P(red) = 3 ÷ (3 + 5) = 3/8.

How a Grade 10 Mathematics holiday session should run

1. Five minutes: redo yesterday's wrong question without looking.
2. Ten minutes: read the exercise book notes for today's sub-strand and copy one worked example.
3. Fifteen to twenty minutes: attempt six to eight questions, easiest first.
4. Five minutes: mark honestly with the answers and write corrections in a different colour.

On Fridays, sit ten mixed questions from the week under time. The corrections book that builds up is the best revision sheet a Grade 10 learner can own by January.

One learner's Mathematics holiday

Take Fatuma, a Grade 10 learner taking Essential Mathematics in the Social Sciences pathway in Mombasa (a made-up example). Her Term 3 work showed she was comfortable with statistics but lost marks on area and volume. Following the plan, she spends the week of 30 November on polygons and sectors and uses real objects: she measures the family's round water drum and works out its capacity, and finds the area of the sector a ceiling fan sweeps. Her Friday score on ten mixed questions goes from four to seven over three weeks. None of it feels like abstract Mathematics to her, which is exactly what Essential Mathematics is meant to build. She goes into Grade 11 knowing that the strand with two thirds of the year's lessons is now her strength.

Common mistakes to avoid

• Treating Mathematics as optional. It is core for every Grade 10 learner, whichever version they take.
• Revising only algebra. Two thirds of the design's lessons are Measurements and Geometry.
• Skipping working. A right answer without method can score less than a wrong answer with clear steps.
• Squaring the scale factor for volume. Areas use the square, volumes use the cube (Example 3).
• Rounding too early. Keep four figures until the last step in trigonometry and logarithms.
• Using calculator answers without units. m, m², m³ and m/s² are part of the answer.

Grade 10 Mathematics resources

The Mathematics notes for both versions are in our Grade 10 notes by pathway, and timed practice is in the Grade 10 prediction papers by subject. The STEM pathway explainer shows how Core Mathematics links to the sciences, and the Grade 10 study hub has every Mathematics resource in one place. When a step will not make sense, ask Somo, our CBC AI tutor, to explain it slowly.

Frequently asked questions

Is Mathematics compulsory in Grade 10?

Yes. Mathematics is one of the four core subjects, with English, Kiswahili or KSL, and Community Service Learning. STEM learners take Core Mathematics; others take Essential Mathematics.

What are the strands of Grade 10 Mathematics?

Numbers and Algebra, Measurements and Geometry, and Statistics and Probability, according to the KICD Grade 10 Mathematics curriculum design.

Which strand is the biggest?

Measurements and Geometry, with 121 of the 180 suggested lessons in the KICD design.

Can a learner switch from Essential to Core Mathematics?

The version follows the pathway, and the Ministry's placement guidelines said finalised pathway and subject choices could not be changed after submission. No published Grade 11 switching rule has been announced, so ask the school directly.

Did Grade 10 Mathematics have a KNEC test?

Yes. Reports of KNEC's August 2026 circular list both Core Mathematics and Essential Mathematics among the 17 subjects with written SBA tests in October 2026.

How long should a Mathematics session be over the holiday?

About 30 to 40 minutes, five days a week. Short, daily and corrected beats long and occasional.

Conclusion

Grade 10 Mathematics is core for every learner, and the KICD design makes its priorities clear: 180 lessons across 14 sub-strands, with two thirds of them in Measurements and Geometry. Use the December holiday to cover every sub-strand once, in seven working weeks, with the worked examples above as the model for how answers should look. Keep a corrections book, sit ten mixed questions each Friday, and give geometry the time it deserves. The Grade 10 study hub has the practice to go with this plan.

Sources: KICD Grade 10 Mathematics curriculum design (June 2024), KICD; KICD notice of 23 December 2025 on Core and Essential Mathematics, as reported by Nairobi Leo; KNEC Grade 10 written SBA subjects, as reported by Elimu News Arena.