JSS 1 Mathematics Exam for First Term

$Mathematics$

Mathematics is a fundamental subject in JSS1 that equips students with problem-solving, analytical, and logical reasoning skills. In the first term, students are introduced to basic concepts that form the foundation for higher-level mathematics in junior and senior secondary school. Topics include numbers, algebra, geometry, measurement, fractions, and simple data handling. Mastery of these concepts is crucial for success in school exams and BECE assessments.

Topics Covered in JSS1 Mathematics First Term:

Number and Numeration – Place value, rounding, and ordering numbers.
Basic Operations – Addition, subtraction, multiplication, and division.
Fractions and Decimals – Simplification, addition, subtraction, and conversions.
Ratio and Proportion – Understanding and solving simple problems.
Algebra – Introduction to algebraic expressions and basic equations.
Geometry – Basic shapes, angles, and perimeter.
Measurement – Length, weight, capacity, and time.
Data Handling – Reading charts, tables, and simple graphs.

Importance:
Studying Mathematics in JSS1 builds critical thinking, logical reasoning, and problem-solving abilities. It also prepares students for more advanced mathematical concepts in JSS2 and JSS3 and strengthens performance in exams across other subjects.

Objective ( Attempt all questions)

1. Simplify 5/6 – 2/9

11/18

3/18

7/9

3/15

2. The LCM of 6, 3 and 12 is

216

3. Simplify 3 – 1½

2½

1½

4. The reciprocal of 2 is

-2

5. Simplify 2¼ ÷ 3

6¼

7¾

2¾

6. What is three quarter of 3⅗ ?

2 ⁷/ 10

13½

1¼

7. Which of these is not an integer?

-8

6.5

None

8. Which of these is not true?

2 is the only prime number that is even

All prime numbers have only two factors

4 is a composite number

1 is a prime number

9. Evaluate 6 – (+4)

-2

-10

10. Reduce 56/ 84 to a fraction in its lowest term

28/42

2/3

8/12

3/4

11. ⅗ means all the following except

5 divides 3

3 divided by 5

Three fifth

3 divides 5

12. How many digits are in six billion?

13. -50 ( ) 3, the correct sign for the bracket is

None

14. Which of these is a prime number?

15. Write 56.83 correct to 1 decimal place

57.3

57.8

67.8

56.8

16. Which of these is a multiple of 7?

17. Express ¹³/3 as a mixed number

4⅓

4⅔

3⅔

3⅓

18. The value of 6 in 3469755 is

6000

600000

60000

0.0006

19. How many ½ are there in 8?

20. Write as a positive or negative integer, 5m below the sea level.

+5m

-5m

Not possible

1/5

Subjective (Attempt all questions)

1. Find the reciprocal of ⅔

2. A boy moves right and left along the number line. Find his final position if he starts at zero and moves 2units to the right, then 3 units to the left.

3. Find the HCF of 21 and 63

4. Write 456 in Roman numeral

5. Which is smaller ⅞ or ⅚ ?

6. If 5/6 = x/18 find x

7. What fraction of 40kobo is 16kobo?

8. Change ¼ to percentage

9. Write 420675 in words

10. Express 16 as a product of its prime factors in index form

Theory ( Answer any four questions and neatly show all working)

1a. Find the sum of 1½ and 1⅕ (b) Find the difference between this sum and 4

2. Express 400g as a percentage of 2kg

3. ³/10 × ³⁵/36 ÷ ¹⁴ /15

4. Arrange ⅗, ¹/10 , ¾ , ½ in ascending order of magnitude

5. A farmer used ¼ of his land to plant yam, 1/6 to plant cassava and ⅓ to plant rice.(a) What fraction of the whole land was used for planting these crops? (b) What fraction of land is left?

6a. Using number line, evaluate -6 +5 (b)Correct 4576 to 3 significant figures

ANSWERS

$\frac{5}{6} – \frac{2}{9} = \frac{15}{18} – \frac{4}{18} = \frac{11}{18}$ ✅ Answer: 11/18
LCM of 6, 3, 12 = 12 ✅ Answer: 12
$3 – 1\frac{1}{2} = 3 – 1.5 = 1.5 = 1\frac{1}{2}$ ✅ Answer: 1½
Reciprocal of 2 = $\frac{1}{2}$ ✅ Answer: ½
$2\frac{1}{4} \div 3 = \frac{9}{4} \div 3 = \frac{9}{4} \times \frac{1}{3} = \frac{9}{12} = \frac{3}{4}$ ✅ Answer: ¾
Three-quarters of $3\frac{3}{5} = \frac{18}{5}$ → $\frac{3}{4} \times \frac{18}{5} = \frac{54}{20} = 2\frac{7}{10}$ ✅ Answer: 2 ⁷/₁₀
Not an integer: 6.5 ✅ Answer: 6.5
Not true: 1 is a prime number ✅ Answer: 1 is a prime number
$6 – (+4) = 6 – 4 = 2$ ✅ Answer: 2
$56/84 = 2/3$ ✅ Answer: 2/3
⅗ does not mean “5 divides 3” ✅ Answer: 5 divides 3
Six billion = 6,000,000,000 → 10 digits ✅ Answer: 10
-50 ( ) 3 → -50 < 3 ✅ Answer: <
Prime number = 29 ✅ Answer: 29
56.83 to 1 decimal place = 56.8 ✅ Answer: 56.8
Multiple of 7 = 56 ✅ Answer: 56
$\frac{13}{3} = 4\frac{1}{3}$ ✅ Answer: 4⅓
Value of 6 in 3,469,755 = 600,000 ✅ Answer: 600,000
How many ½ in 8 → $8 ÷ ½ = 16$ ✅ Answer: 16
5m below sea level → negative integer ✅ Answer: -5m

Subjective Questions

Reciprocal of $\frac{2}{3} = \frac{3}{2}$
Start at 0 → right 2 units = +2 → left 3 units = 2 – 3 = -1 ✅ Final position: -1
HCF of 21 and 63 = 21
456 in Roman numerals = CDLVI
Compare $\frac{7}{8}$ and $\frac{5}{6}$ → $\frac{7}{8} = 0.875, \frac{5}{6} ≈ 0.833$ → smaller = 5/6
$\frac{5}{6} = \frac{x}{18} → x = \frac{5}{6} × 18 = 15$
Fraction of 40kobo that is 16kobo → $\frac{16}{40} = \frac{2}{5}$
$\frac{1}{4} = 25\%$
420,675 in words → Four hundred twenty thousand six hundred seventy-five
16 as product of prime factors in index form → $16 = 2^4$

Theory Questions (Sample solutions for any 4)

1a. Sum of $1\frac{1}{2} + 1\frac{1}{5}$

$1\frac{1}{2} = \frac{3}{2}, \quad 1\frac{1}{5} = \frac{6}{5} \text{LCM of 2 and 5 = 10 → } \frac{3}{2} = \frac{15}{10}, \frac{6}{5} = \frac{12}{10} \text{Sum = } \frac{15+12}{10} = \frac{27}{10} = 2\frac{7}{10}$

1b. Difference between this sum and 4

$4 – 2\frac{7}{10} = 4 – 2.7 = 1.3 = 1\frac{3}{10}$

2. Express 400g as % of 2kg

$2kg = 2000g, \quad \frac{400}{2000} × 100\% = 20\%$

3. $\frac{3}{10} × \frac{35}{36} ÷ \frac{14}{15}$

$\frac{3}{10} × \frac{35}{36} ÷ \frac{14}{15} = \frac{3}{10} × \frac{35}{36} × \frac{15}{14} = \frac{3×35×15}{10×36×14} = \frac{1575}{5040} = \frac{105}{336} = \frac{35}{112}$