Mathematics Third Term Examination Questions 2019/2020 Session – Junior Secondary School ( JSS 1, JSS 2)

EDUDELIGHT GROUP OF SCHOOLS

3^RD TERM EXAMINATION 2019/2020

SUBJECT; MATHEMATICS    CLASS: JSS 1 

SECTION A: OBJECTIVES- Answer all questions in this section

1. Solve for x in 3(x + 2) = 2(x + 2) (a) 4 (b) 2 (c) -2 (d) -4
2. Find the :L.C.M of 6a², 8a and 4ab   (a) 24ab (b) 24ab² (c) 24a²b (d) 24a²b²
3. Expand (p + 6) (p – 3) (a) p² – 3p -18 (b) p²+3p – 18 (c) p² + 3p + 18 (d) P² – 6p – 18
4. Write 301700000 partly in words and  partly in figures (a) 0.307million (b) 30.17million (c) 3.017 million(d) 3017 billion
5. Simplify 1²/₃ + 2½  (a) 4¹/₅ (b) ⁶/₂₅ (c) 4¹/₆ (d) ¹/₆
6. What is the place value of ‘2’ in 30247 (a) 20 (b) 2 (c) 200 (d) 2000
7. Arrange these fractions in ascending order: ³/₈, ⁵/₉, ²/₉, ²/₃ (a) ⁵/₆, ²/₃, ³/₈, ²/₉ (b) ²/₉, ³/₈, ⁵/₆, ²/₃ (c) ⁵/₆, ²/₃, ²/₉, ³/₈ (d) ²/₉, ³/₈, ²/₃, ⁵/₆
8. Express 40 as a percentage of 200 (a) 50% (b)  25% (c) 40% (d) 20%
9. Approximate 9852 to 1 significant figure (a) 10,000 (b) 9000 (c) 9800 (d) 9850
10. Simplify 3¹/₅ ÷ ⁴/₅ (a) ¼ (b) 4 (c) 3¾  (d) 16

The marks scored by some students ina test are: 4, 6, 7, 8,9,9,4,9 use these data to answer question 11 – 14

1. Find the mean score (a) 5 (b) 6 (c) 7 (d) 8
2. Find the modal score (a) 9 (b) 8 (c) 7 (d) 4
3. Find the range (a) 2 (b) 5 (c) 4 (d) 3
4. Find the median score (a) 7.0 (b) 6.5 (c) 7.5 (d) 8.0
5. Simplify 7r – 6s -4r + 4r (a) 3r + 25 (b) -3r – 25 (c) 3r – 2s (d) 11r + 10s
6. Evaluate: 1  0  1  1  (a) 1010 (b) 10010 (c) 10101 (d) 0010

                  +  1  1  1

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1. Find the 25% of N1600 (a) N4000 (b) N40 (c) N400 (d) N160
2. Find the H.C.F of 18 and 36 (a) 6 (b) 18 (c) 9 (d) 2
3. Evaluate  1  1  0  0  (a) 111 (b) 101 (c) 100 (d) 011

                  –   1  0  1

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• If two lines are perpendicular, the angle between them is (a) 60⁰ (b) 180⁰ (c) 360⁰ (d) 90⁰

THEORY

Instruction: attempt all questions from this section

1a.       Find the value of 1101 – 110 + 11 in base 2

1b        Evaluate 6(x + 1) = 3(x + 3)

2.         In the diagram below, calculate the lettered angles

3a.     Simplify 6½  – ¾ + 1¼

3b.       Find the H .C.F of 48, 36 and 72

4.        age (years)_         12         13       14      15           16

          No of students     4            6          4       4             2

(a)       Calculate the mean age (b) find the median (c) obatain the mode  

EDUDELIGHT GROUP OF SCHOOLS.

3^RD TERM EXAMINATION 2019/2020

SUBJECT; MATHEMATICS    CLASS: JSS 2

SECTION A: OBJECTIVES-

Answer all questions in this section

1. Factorize completely xy + x + y + 1 (a) (x + 1)(y + 1) (b) (x + 1)( y – 1) (c) (xy + 1)(y + 1) (d) x (y + 1)(y + 1)
2. Share N3000 in the ratio 2:3 between Tayo and Hammed (a) Tayo (N1,000): Hammed  (N1,000) (b) Tayo (N500); Hammed (N1500) (c) Tayo (N1,200): Hammed (N1,800) (d) Tayo (N1,200); Hammed (N1,200)
3. Find by  factors the square root of 3136 (a) 56 (b) 46 (c) 26 (d) 36
4. 156/180 reduced to its lowest term is (a) ⁹/₁₁ (b) ¹³/₁₅ (c) ¹⁵/₁₈ (d) ²⁶/₃₀
5. Multiply ( 3 + b) by (4 + 2b) (a)2b²+10b+7 (b)2b² + 7b + 10 (c) 2b² + 10b + 12 (d) 2b² + 12b + 10
6. Write ).0000649 in standard form (a) 6.49 x 10^-5 (b) 6.49 x 10^-3 (c) 6.49 x 10⁺³ (d) 6.49 x 10⁵
7. Find the L.C.M of 6a², 8a and 4ab (a) 24ab (b) 24a²b (c) 24a²b² (d) 24ab² 
8. Approximate 9852 to 1 significant figure (a) 1000 (b) 9800 (c) 9000 (d) 9,850
9. Which of the following groups of numbers form a Pythagoras triplets? (a) 8, 10, 12 (b) 4, 6, 8 (c) 6, 8, 10 (d) 2, 4 6
10. Expand: ((P + 6)(P – 3) (a) P²– 3p – 18 (b) p² + 3p – 18 (c) p² + 3p + 18 (d) p² – 6p – 18
11. The simple interest on N 250 for 8 years at 6% P.A is  (a)   N100 (b) 130 (c) N120 (d) 140
12. If the angles of quadrilateral are 5x⁰, 4x⁰, 3x⁰ and 6x⁰. What is the value of x⁰? (a) 10⁰ (b) 15⁰ (c)18⁰ (d) 20⁰ 
13. which of these properties of diagonal of plane shapes applicable to kite only? (a) diagonal bisec each other (b) diagonals bisects the shape (c) diagonals are perpendicular at centre (d) diagonal are not equal
14. Seven subtracted from twice a contain number gives 9. Find the number (a) 6 (b) 7 (c) 8 (d) 16
15. The angle of quadrilateral are in the ratio 6:7:8:9. The largest angle will be (a) 108⁰ (b) 72⁰ (c) 84⁰ (d) 30⁰
16. Evaluate: 5c²m²rt4 (a) 5cmt² – r (b) 5cmt² (c) 5cmt² (d) 5cmt + r

                 cm²r²t²                                    r

1. Calculate the curved surface area of a cylinder whose radius is 7cm and height 10cm (a) 14π (b) 104 π (c) ^π /₁₄₀ (d) 140π

Calculate the missing angles in the figure (a) z = 40⁰ and m = 60⁰  (b) z = 40⁰ and m = 80⁰ (c) z = 80⁰ and m = 60⁰ (d) z = 40⁰ and m 40⁰

1. The area of a circle whose diameter is 7cm is _____ (take π = ²²/₇) (a) 22cm² (b) 38.5cm² (c) 38cm² (d) 44cm² 
2. Solve for x in 3(x + 2) = 2( x + 2) (A) 2 (b) -2 (c) 4 (d) -4

THEORY

Instruction: Attempt all questions from this section

1a.       Mr. Johnson share N500,000 among three children. They are Mercy, Janet and Timmy in the ratio 2:3:5. How much does each received?  

b.         Find the least number by which 200 must be multiplied so that their product is a perfect square

2a.       Given the base radius and vertical height of a cone as 6cm and 8cm respectively, Calculate the (i) total surface area (ii) volume of the cone to the nearest whole number (take π = 3.14)

2b.       How many sides has a regular polygon whose angle is 120⁰?

3a.       A Pentagon is such that one of its exterior angles is 60⁰ . Two others are (90-m)⁰ each while the remaining angles are (30 + 2m)⁰ each. Find the value of m

3b.       Without using calculator, find the product of 0.00462 and 5430 leaving your answer in standard form

• The distance ‘d’ meters covered by a ball thrown vertically up wards after a time ‘t’ seconds is given by the relation, d = 60t – 10t²
• Draw the graph of d = 60t – 10t2 for values of t from O to 5 seconds using the scale of 2cm to 1 unit on the t-axis and 2cm to 20m on the d-axis 
•             Using your graph:

(i)       Find the time it takes the ball to reach a height of 60m,

(ii)       Determine the maximum height reached by the ball and the time taken to reach it .