📘 LEARNIQ ACADEMY
FORM TWO MATHEMATICS
SERIES EXAMINATION I – 2026
Time: 3 Hours
Instructions
1. Answer all questions in Sections A and B.
2. Show all working clearly.
3. Calculators are not allowed unless stated.
SECTION A (20 Marks)
1. Simplify:
36 ÷ 3 × 4 + 8
2. Find HCF of 24 and 36
3. Convert 0.6 into fraction
4. Round 12,784 to nearest 1000
5. Solve: 2x + 5 = 17
6. Find perimeter of square side 9 cm
7. Express 3/8 as percentage
8. Find mean of: 5, 10, 15, 20
9. Simplify: 3² × 3³
10. Convert 2500 m into km
SECTION B (30 Marks)
11. A shop sells a pen at Tsh 800. Find cost of 15 pens.
12. A man earns Tsh 500,000 and spends 35%. Find savings.
13. Solve: 4x = 36
14. Find area of triangle base 12 cm height 8 cm
15. A car travels 180 km in 3 hours. Find speed.
16. Find volume of cube side 5 cm
17. A student scores 70, 80, 90. Find average
18. Solve word problem on profit and loss
SECTION C (50 Marks)
19. Solve simultaneously:
2x + y = 9
x − y = 3
20. Find area of circle (π = 3.14, r = 7 cm)
21. A cylindrical tank radius 3 m height 10 m. Find volume
22. Draw a bar chart for given data
23. Probability: A bag has 3 red, 2 blue, 5 green balls. Find probability of picking red
📘 LEARNIQ ACADEMY
FORM TWO MATHEMATICS
SERIES EXAMINATION II – 2026
Time: 3 Hours
Instructions
1. Answer all questions in Sections A and B.
2. Show all working clearly.
3. Use mathematical tables where necessary.
SECTION A (20 Marks)
1. Simplify:
72 ÷ 8 × 3 + 6
2. Find LCM of 15 and 20
3. Convert 0.25 into fraction
4. Round 45,678 to nearest 100
5. Solve: x − 7 = 19
6. Find perimeter of rectangle length 14 cm width 6 cm
7. Express 5/8 as percentage
8. Find mean of: 12, 14, 16, 18
9. Simplify: 2⁴ × 2³
10. Convert 3.5 km into meters
SECTION B (30 Marks)
11. A book costs Tsh 2,500. Find cost of 8 books.
12. A trader makes 20% profit on Tsh 100,000. Find selling price.
13. Solve: 5x = 45
14. Find area of square side 12 cm
15. A bus travels 240 km in 4 hours. Find speed.
16. Find volume of cuboid 10 cm × 5 cm × 4 cm
17. A student gets marks: 60, 65, 75. Find average
18. Word problem on discount: 10% of Tsh 80,000 item
SECTION C (50 Marks)
19. Solve simultaneous equations:
3x + y = 13
2x − y = 7
20. Find area of circle (π = 3.14, r = 14 cm)
21. A cylinder has radius 4 m and height 9 m. Find volume
22. Draw histogram for given frequency data
23. Probability: 4 red, 3 blue, 3 green balls. Find probability of blue
📘 LEARNIQ ACADEMY
FORM TWO MATHEMATICS
SERIES EXAMINATION III – 2026
Time: 3 Hours
Instructions
1. Answer all questions in Sections A, B and C.
2. Show all working clearly.
3. Use mathematical tables where necessary.
SECTION A (20 Marks)
1. Simplify:
48 ÷ 6 × 5 + 7
2. Find HCF of 18 and 27
3. Convert 0.8 into fraction
4. Round 89,456 to nearest 1000
5. Solve: 3x = 27
6. Find perimeter of triangle sides 6 cm, 8 cm, 10 cm
7. Express 7/10 as percentage
8. Find mean of: 6, 8, 10, 12
9. Simplify: 5² × 5³
10. Convert 4500 m into km
SECTION B (30 Marks)
11. A pen costs Tsh 600. Find cost of 20 pens.
12. A trader sells goods at 15% profit on Tsh 200,000. Find selling price.
13. Solve: 2x + 3 = 11
14. Find area of rectangle 15 cm × 9 cm
15. A car travels 300 km in 5 hours. Find speed.
16. Find volume of cube side 6 cm
17. A student scores 55, 65, 75, 85. Find average
18. Word problem on discount: 20% of Tsh 50,000
SECTION C (50 Marks)
19. Solve simultaneous equations:
x + y = 10
2x − y = 5
20. Find area of circle (π = 3.14, r = 21 cm)
21. A cylinder has radius 5 m and height 12 m. Find volume
22. Construct and interpret a bar chart
23. Probability: A bag has 5 red, 4 blue, 1 green balls. Find probability of red
📘 LEARNIQ ACADEMY
FORM TWO MATHEMATICS
MARKING SCHEME – SERIES I, II & III (2026)
✅ SERIES I – ANSWERS
SECTION A
1. 36 ÷ 3 × 4 + 8 = 56
2. HCF (24,36) = 12
3. 0.6 = 3/5
4. 12,784 ≈ 13,000
5. 2x + 5 = 17 → x = 6
6. Perimeter square = 4×9 = 36 cm
7. 3/8 ×100 = 37.5%
8. Mean = (5+10+15+20)/4 = 12.5
9. 3² × 3³ = 3⁵
10. 2500 m = 2.5 km
SECTION B
11. 800 × 15 = 12,000 Tsh
12. 35% of 500,000 = 175,000 → savings = 325,000 Tsh
13. 4x = 36 → x = 9
14. Area = ½×12×8 = 48 cm²
15. Speed = 180/3 = 60 km/h
16. Volume cube = 5³ = 125 cm³
17. Mean = (70+80+90)/3 = 80
18. Profit/Loss = correct working accepted (depends question statement)
SECTION C
19.
2x + y = 9
x − y = 3 → x = 4, y = 1
20. Area circle = 3.14×7×7 = 153.86 cm²
21. Volume cylinder = πr²h
= 3.14×3×3×10 = 282.6 m³
22. Bar chart = correct drawing full marks
23. P(red) = 3/10 = 0.3
✅ SERIES II – ANSWERS
SECTION A
1. 72 ÷ 8 × 3 + 6 = 33
2. LCM (15,20) = 60
3. 0.25 = 1/4
4. 45,678 ≈ 45,700
5. x − 7 = 19 → x = 26
6. Perimeter = 2(14+6)= 40 cm
7. 5/8 = 62.5%
8. Mean = (12+14+16+18)/4 = 15
9. 2⁴×2³ = 2⁷
10. 3.5 km = 3500 m
SECTION B
11. 2500×8 = 20,000 Tsh
12. 20% of 100,000 = 20,000 → SP = 120,000 Tsh
13. 5x = 45 → x = 9
14. Area square = 12² = 144 cm²
15. Speed = 240/4 = 60 km/h
16. Volume = 10×5×4 = 200 cm³
17. Mean = (60+65+75)/3 = 66.67
18. Discount = 10% of 80,000 = 8,000 → price = 72,000 Tsh
SECTION C
19.
3x + y = 13
2x − y = 7 → x = 4, y = 1
20. Area circle = 3.14×14×14 = 615.44 cm²
21. Volume cylinder = 3.14×4×4×9 = 452.16 m³
22. Histogram = correct construction full marks
23. P(blue) = 4/10 = 0.4
✅ SERIES III – ANSWERS
SECTION A
1. 48 ÷ 6 × 5 + 7 = 47
2. HCF (18,27) = 9
3. 0.8 = 4/5
4. 89,456 ≈ 89,000
5. 3x = 27 → x = 9
6. Perimeter = 6+8+10 = 24 cm
7. 7/10 = 70%
8. Mean = (6+8+10+12)/4 = 9
9. 5²×5³ = 5⁵
10. 4500 m = 4.5 km
SECTION B
11. 600×20 = 12,000 Tsh
12. 15% of 200,000 = 30,000 → SP = 230,000 Tsh
13. 2x+3=11 → x = 4
14. Area = 15×9 = 135 cm²
15. Speed = 300/5 = 60 km/h
16. Volume cube = 6³ = 216 cm³
17. Mean = (55+65+75+85)/4 = 70
18. Discount = 20% of 50,000 = 10,000 → price = 40,000 Tsh
SECTION C
19.
x + y = 10
2x − y = 5 → x = 5, y = 5
20. Area circle = 3.14×21×21 = 1384.74 cm²
21. Volume cylinder = 3.14×5×5×12 = 942 m³
22. Bar chart = correct drawing full marks
23. P(red) = 5/10 = 0.5
📌 FINAL NOTE (LEARNIQ ACADEMY)
Section A = Short answers (1–2 marks each)
Section B = Show working (3–5 marks each)
Section C = Full solution required (5–10 marks each)
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