JSS3 FIRST TERM EXAMINATION ON BCS 2025/2026 SECTION

SECTION A: Objectives

1. Three brothers had the following ratios of food for lunch; 1:3, 3:8,and 1:6, what fraction of the food as left after lunch?

2. Simply 7 ⅛ ÷ 4 ¾

3. The heights of five jss1 students are recorded below;1.32m,1.45m,1.36m, 1.48m and 1.42m. Estimate to the nearest tenth and find the average height of students.

4. Find the value of x in the equation 4(x-1) - 3(x+1) = 15x

5. Calculate the simple interest on #1500 for 2years at 2%

6. In a class, 25% of the students are girls . What fraction of the students are boys?

7. Evaluate 64²/³

8. Find the smallest number that must be multiplied so that 432 is a perfect square

9. Express 13weeks as a fraction of 1 year

10. Find the square root of 3 ⁶/25

11. Simply 6x³ X ¹/2x–¹

12. Find the discount price of an item, if 25% is given on a marked price of €9,000

13. Find the value of x if 7²× = 2401

14. A piece of elastic wire is 48cm. It is stretched to a length of 60cm. What percentage of the original length is the increase

15. Calculate the side length of a cube whose volume is 125cm³

16. Reduce the fraction √27/48 to its lowest term

17. Evaluate 32x¹⁰/4×–⁴ X x¹⁵

18. Using factor method, find the square root of 196

19. Find the HCF of 18a²y and 27x²y²

20. When SP > Cp, the seller is said to has made a ____

SECTION B: Subjective

21. Expand (a+3)²

22. If it takes three lorries 84 trips to carry all the sugar to the warehouse. How many trips will it take 7 lorries

23. A cellphone was marked for $15,300 and was later sold at a loss of 10% .How much was it sold?

24. Factorize 8(x+y) -7(2x-y)

25. Evaluate (22-3x)/4 =2x

26. In an exam 154 out of 175 candidate passed, what percentage failed?

27. Evaluate (3.42)²

28. Find the difference between the sum of 2 ⅗ and 1 ⅔, and the product of three- quarter and ⅘

29. How much simple interest does Emeka make on #40,000 in 5years at 7%

30. The product of 5½ and a number is 60, what is the number?

SECTION C: THEORY Instructions: Answer any 4 question

1a. Calculate the compound interest on #2,000 for 3 years at 25%

1b. Evaluate (1) 8²/³ (11) 243¹/⁵

2a. Find the smallest number by which their products must be multiplied to make them perfect square (I)504 (ii)147

2b. Expand ( a-3b)(a+2b)

3a. Find the square root of the following (I) 1 9/16 (ii) 20 1/4 (III) Using prime factorization method find the cube root of 729

3b) Arrange the following fractions in descending order; ¾, ⅝ , ⁷/12, ⅔ , ¼

4a) Simplify 3⅗ ÷ [ ⅘ of 1½] + 1¾ - ⁵/12

4b. Round off the following numbers (I) 738.5078 to the hundredth (ii) 32365 to 2 significant figures (iii)352.203 to the nearest whole number (iv) 5.025308 to 3 decimal places

5a) The cost of feeding a student in a board school is #250 per meal. If a school has 320 students and each is fed three times a day, estimate the cost of feeding all the students for 3 days

5b. Find the value of e in; 3(e-3)+7(2e-8)-(e-1)=0

6a) Find the profit and loss and the selling prices for the following marked prices (i) £6,000 at 5% profit (I) £4,500 at 8% Loss

6b) Evaluate 3 √ a² x 6 √a⁵