Second Term General Mathematics Examination for JSS 1

EXAMINATION ON GENERAL MATHEMATICS
Class: JSS 1
Term: Second Term
Time: 1 Hour
Total Marks: 70

SECTION A: OBJECTIVES (40 Marks)
Instruction: Answer all questions.

1. ________ is the process of rounding numbers to get values close to the exact value. (a) Calculation (b) Approximation (c) Translation (d) Simplification

2. Round 6,742 to the nearest hundred. (a) 6,700 (b) 6,740 (c) 6,800 (d) 6,000

3. The number 3.846 rounded to two decimal places is ________. (a) 3.84 (b) 3.85 (c) 3.80 (d) 3.90

4. Approximate 49,675 to one significant figure. (a) 40,000 (b) 49,000 (c) 50,000 (d) 49,700

5. An open sentence in mathematics usually contains a ________. (a) number only (b) letter (c) sign only (d) shape

6. Which of the following is an open sentence? (a) 6 + 4 = 10 (b) x – 5 = 9 (c) 12 > 7 (d) Lagos is a city

7. The value of x that makes x + 8 = 14 true is ________. (a) 6 (b) 22 (c) 8 (d) 14

8. A closed sentence is a statement that is ________. (a) always false (b) always true or false (c) unanswered (d) algebraic

9. Which of the following is NOT an algebraic expression? (a) 4x + 3 (b) 7y – 2 (c) 9 ÷ 3 (d) 5a

10. In the expression -6p + 4, the coefficient of p is ________. (a) 4 (b) 6 (c) -6 (d) -4

11. Simplify: 5a + 3a – 2a. (a) 10a (b) 6a (c) 8a (d) a

12. Collect like terms: 7m – 2m + 5m. (a) 14m (b) 10m (c) 12m (d) 7m

13. Which of these pairs are like terms? (a) 3x and 3y (b) 5a and -2a (c) 4m and 4m² (d) 2p and 2q

14. Simplify: 2(x + 5). (a) 2x + 5 (b) x + 10 (c) 2x + 10 (d) 10x

15. Translating “five more than a number” into symbols gives ________. (a) 5x (b) x – 5 (c) x + 5 (d) 5 – x

16. If a number multiplied by 4 gives 20, the number is ________. (a) 5 (b) 16 (c) 24 (d) 80

17. The equation x – 6 = 9 is an example of a ________. (a) word problem (b) simple equation (c) expression (d) inequality

18. To solve x + 7 = 15, we ________. (a) subtract 7 from both sides (b) add 7 to both sides (c) multiply both sides by 7 (d) divide both sides by 7

19. When an equation is true for all values of the variable, it is called ________ equality. (a) conditional (b) absolute (c) referential (d) open

20. Which of the following is a conditional equality? (a) 2 + 3 = 5 (b) x + 2 = 7 (c) 4 × 5 = 20 (d) 10 = 10

21. Directed numbers include ________. (a) whole numbers only (b) positive numbers only (c) positive and negative numbers (d) fractions

22. Using directed numbers, -7 + 4 equals ________. (a) 11 (b) -11 (c) -3 (d) 3

23. On a number line, moving to the left shows ________. (a) positive numbers (b) larger values (c) negative numbers (d) fractions

24. Evaluate: 9 – (-5). (a) 4 (b) 14 (c) -14 (d) -4

25. The solid shape with six equal square faces is a ________. (a) cuboid (b) cube (c) sphere (d) cylinder

26. The number of edges of a cube is ________. (a) 6 (b) 8 (c) 12 (d) 4

27. A triangular prism has ________ vertices. (a) 3 (b) 5 (c) 6 (d) 9

28. Which of the following is NOT a three-dimensional figure? (a) Cone (b) Cylinder (c) Circle (d) Pyramid

29. All the faces of a cuboid are ________. (a) squares (b) rectangles (c) triangles (d) circles

30. Which property is common to both a square and a rectangle? (a) All sides are equal (b) Diagonals are equal (c) Three sides are equal (d) No right angle

31. An isosceles triangle has ________. (a) no equal sides (b) all sides equal (c) two equal sides (d) three unequal sides

32. All angles of an equilateral triangle are ________. (a) 45° (b) 60° (c) 90° (d) 120°

33. A circle has ________. (a) edges and vertices (b) faces only (c) no edges and no vertices (d) one vertex

34. The shape of a football is closest to a ________. (a) cube (b) cone (c) sphere (d) cylinder

35. Which of the following is NOT a property of a rectangle? (a) Opposite sides are equal (b) All angles are right angles (c) All sides are equal (d) Diagonals bisect each other

36. Approximate 0.0678 to one significant figure. (a) 0.06 (b) 0.07 (c) 0.1 (d) 0.007

37. Simplify: 6p ÷ 3. (a) 18p (b) 3p (c) 2p (d) p

38. The coefficient of y in the expression -9y + 4 is ________. (a) 9 (b) -9 (c) 4 (d) -4

39. Which operation is used to isolate x in 5x = 25? (a) Addition (b) Subtraction (c) Multiplication (d) Division

40. The statement “x + 4 = 9” is true when x equals ________. (a) 13 (b) 5 (c) 4 (d) 9

SECTION B: THEORY (30 Marks)
Instruction: Answer any THREE questions.

1. (a) Define approximation in mathematics. (2 marks)
   (b) Round the following numbers as instructed:
   (i) 8,964 to the nearest hundred. (1 mark)
   (ii) 0.0936 to two decimal places. (1 mark)
   (iii) 52,400 to one significant figure. (1 mark)
   (c) Simplify the expression: 4x + 6y – 2x + y. (3 marks)
   (d) Solve the equation: x – 11 = 7. (2 marks)

2. (a) What is an open sentence? Give one example. (2 marks)
   (b) Identify whether the following are open or closed sentences:
   (i) 10 + 5 = 15 (1 mark)
   (ii) y + 3 = 8 (1 mark)
   (c) Use a number line to evaluate -6 + 9. (3 marks)
   (d) Translate into an equation: “A number is multiplied by 5 to give 30.” (2 marks)

3. (a) List the number of faces, edges, and vertices of a cube. (3 marks)
   (b) State two properties of a rectangle. (2 marks)
   (c) Simplify: 3(a + 4b) – a. (3 marks)
   (d) Solve the equation: 4m = 32. (2 marks)

4. (a) Distinguish between an algebraic expression and a non-algebraic expression, with one example each. (3 marks)
   (b) State two properties of an equilateral triangle. (2 marks)
   (c) Perform the following using directed numbers:
   (i) -8 + 3 (1 mark)
   (ii) 12 – (-6) (1 mark)
   (iii) -5 – 7 (1 mark)
   (d) A boy is x years old. His sister is 4 years older. Write an expression for the sister’s age. If the sister is 18 years old, find the boy’s age. (2 marks)

5. (a) Define a simple equation in one variable. (2 marks)
   (b) Solve: 2y + 6 = 20. (3 marks)
   (c) Approximate 73,829 to the nearest thousand. (2 marks)
   (d) State one property of a circle. (1 mark)

OBJECTIVE MARKING SCHEME

Question 1 – ✅ (b) Approximation
Question 2 – ✅ (c) 6,800
Question 3 – ✅ (b) 3.85
Question 4 – ✅ (c) 50,000
Question 5 – ✅ (b) letter
Question 6 – ✅ (b) x – 5 = 9
Question 7 – ✅ (a) 6
Question 8 – ✅ (b) always true or false
Question 9 – ✅ (c) 9 ÷ 3
Question 10 – ✅ (c) -6
Question 11 – ✅ (b) 6a
Question 12 – ✅ (c) 12m
Question 13 – ✅ (b) 5a and -2a
Question 14 – ✅ (c) 2x + 10
Question 15 – ✅ (c) x + 5
Question 16 – ✅ (a) 5
Question 17 – ✅ (b) simple equation
Question 18 – ✅ (a) subtract 7 from both sides
Question 19 – ✅ (b) absolute
Question 20 – ✅ (b) x + 2 = 7
Question 21 – ✅ (c) positive and negative numbers
Question 22 – ✅ (c) -3
Question 23 – ✅ (c) negative numbers
Question 24 – ✅ (b) 14
Question 25 – ✅ (b) cube
Question 26 – ✅ (c) 12
Question 27 – ✅ (c) 6
Question 28 – ✅ (c) Circle
Question 29 – ✅ (b) rectangles
Question 30 – ✅ (b) Diagonals are equal
Question 31 – ✅ (c) two equal sides
Question 32 – ✅ (b) 60°
Question 33 – ✅ (c) no edges and no vertices
Question 34 – ✅ (c) sphere
Question 35 – ✅ (c) All sides are equal
Question 36 – ✅ (b) 0.07
Question 37 – ✅ (c) 2p
Question 38 – ✅ (b) -9
Question 39 – ✅ (d) division
Question 40 – ✅ (b) 5