# Second Term Examination Mathematics for JSS 1 – SS 3 Term 2 Exam Questions

### MATHEMATICS

SECOND TERM EXAMINATION

JSS AND SS EXAM QUESTIONS

### JSS 1 MATHEMATICS

SECTION A

Instruction: Fill the gaps with the most suitable word from the options A – D.

1. Express 20% as a decimal number.

(a) 2.00

(b) 0.5

(c) 0.2

(d) 0.02

2. Convert 7710 to a number in base two.

(a) 1111111two

(b) 1111101two

(c) 1111011two

(d) 1001101two

3. Express 6561 as a product of primes in index form.

(a) 36

(b) 37

(c) 38

(d) 39

4. Yemi saves N150 daily. How much will he save in two weeks?

(a) N300

(b) N1050

(c) N1500

(d) N2100

5. Write two thousand, seven hundred and nine in Roman Numerals.

(a) MMDCICX

(b) MMCDCIX

(c) MMDCCIX

(d) MMCCDIX

6. What is the sum of the binary numbers 1101, 1110 and 1001?.

(a) 100000

(b) 100010

(c) 100100

(d) 100110

Read more – Exam Questions – Second Term Examination Mathematics for JSS 1 (Basic 7)

7. Find the value of (101)² in base two.

(a) 10001

(b) 10111

(c) 11001

(d) 11011

8. Express 32% as a fraction.

(a) 2/25

(b) 4/25

(c) 6/25

(d) 8/25

9. Write in figure; fifty three million, eight hundred thousand and thirteen.

(a) 53 800 013

(b) 5 380 013

(c) 53 80 13

(d) 530 813

10. Simplify 1110111two – 1101011two.

11. The value of the 1 in 12345 is ________.

(a) one unit

(b) one hundred

(c) one thousand

(d) ten thousand

12. Olu saves N700 daily, how much will he save in 15 days?

(a) ₦950

(b) ₦10 500

(c) ₦1 200

(d) ₦1 050

13. Convert 4ten to base two.

(a) 10two

(b) 100two

(c) 1000two

(d) 10000two

14. Evaluate 101two + 101two.

(a) 1010two

(b) 1100two

(c) 111two

(d) 1111two

15. Which of these is an improper fraction?

(a) 31/7

(b) 6/7

(c) 4/5

(d) 2/3

16. Express 40% as a decimal number.

(a) 0.02

(b) 0.20

(c) 0.40

(d) 4.00

17. List the prime factors of 150.

(a) 2, 5, 15

(b) 2, 3, 10

(c) 3, 5, 10

(d) 2, 3, 5

18. Correct 45775 to 1 significant figure.

(a) 50 000

(b) 5 000

(c) 500

(d) 50

19. ________ divides a circle into equal parts.

(a) Arc

(b) Chord

(c) Diameter

20. A prime has only two factors which are ________ and ________.

(a) 1 and any other number

(b) 2 and 3

(c) 1 and 2

(d) itself and 1

### SECTION B: THEORY

QUESTION 1

A. 7/9-1/3

B. 4/15 + 1/8

C. 11-4/5

D. 53/5 of 20

E. 12/23÷ 30

QUESTION 2

A. Correct the following numbers to the nearest hundred.

I. 7521

II. 104 738

B. Round off to the nearest whole numbers.

I. 86/7

II. 42.378

C. Correct to the nearest million.

I. 7 498 409

II. 9 048 947

QUESTION 3

A. Convert the following base ten numbers to base two;

I. 349

II. 88

III. 28

B. Convert the following base two numbers to base ten.

I. 1000001101two

II. 1111111two

QUESTION 4

I. 11101two + 10111two

II. 101011two +11011two

B. Subtract the following in base two:

I. 10111two – 1100two

II. 10101 – 1010two

C. Multiply 1000two by 10two

QUESTION 5

A. Identify the following binary numbers as odd or even numbers:

I. 110010two

II. 111two

III. 101011two

IV. 1000111111

V. 110000110

B. Find the value of the following, if 7 is put in each circle.

(i) -14 + O

(ii) – O + O + O

(iii) 5 – O

(iv) 67 + O

(v) 18 – O

### JSS 2 MATHEMATICS

SECTION A

Instruction: Fill the gaps with the most suitable word from the options A – D.

1. The product of 0.017 and 100 is ________.

(a) 0.00017

(b) 0.0017

(c) 0.017

(d) 1.7

2. Evaluate 2p – (p -2p).

(a) 0

(b) – p

(c) 2p

(d) p

3. Find the product of (4m – n) and (3m – 2n).

(a) 12m² + 11mn – 2n²

(b) 12m² – 11mn + 22

(c) 12m2 + 11mn + 2n²

(d) 12m² – 11mn – 112n²

4. Round off 3.9695 to 2 decimal places.

(a) 3.97

(b) 3.98

(c) 3.94

(d) 3.96

5. What is the value of 962?

(a) 6226

(b) 7226

(c) 7216

(d) 9216

6. Find the difference between 3 4/5 and 3/4.

(a) 31/20

(b) 31/10

(c) 31/5

(d) 31/4

Read more – JSS 3 Mathematics Exam Questions – Second Term Examination

7. If the square root of 4 is 2, then find the square root of 400.

(a) 20

(b) 200

(c) 2 000

(d) 20 000

8. Simplify √121/4.

(a) 31/2

(b) 31/3

(c) 31/4

(d) 3/2

9. Approximate 9 395 to 2 significant figures.

(a) 9 000

(b) 9 300

(c) 9 390

(d) 9 400

10. The highest common factor  of 10a2b and 8ab is ________.

(a) 10a2b

(b) 8ab

(c) 2ab

(d) ab

11. Simplify  (45) – (+14)

(a) +9

(b) +19

(c) -9

(d) +31

12. Round off the number 0.075 to one significant figure.

(a) 0.1

(b) 0.7

(c) 0.07

(d) 0.8

13. Express 13.47 kg to the nearest whole number.

(a) 10kg

(b) 13kg

(c) 13.5kg

(d) 14kg

14. Convert 75.67665 to 2 decimal places.

(a) 75.00

(b) 75.67

(c) 75.68

(d) 76.00

15. If 3564 becomes 3500, which method of approximation is used?

(a) One significant figure

(b) Two significant figures

(c) Three significant figures

(d) Four significant figures

16. Write 243.912 to the nearest whole number.

(a) 244

(b) 243

(c) 240

(d) 200

17. Find the square root of 27/9

(a) 12/3

(b) 11/3

(c) 21/3

(d) 22/3

18. The sum of angles at a point is ________.

(a) 360º

(b) 270º

(c) 180º

(d) 120º

19. Round the product of 0.025 and 0.3 to 1 significant figure.

(a) 0.0008

(b) 0.0075

(c) 0.008

(d) 0.08

20. Reduce (36x3y)/(18x2y2) to its lowest term.

(a) x/y

(b) 2x/y

(c) 2×2/y

(d) 2/y

### SECTION B: THEORY

QUESTION 1

A. Find the HCF of 140, 240 and 340.

B. Find the LCM of 30, 40 and 150.

C. Find the square of the following;(i) 75 (ii) 126

D. Find the square root of 2704.

QUESTION 2

A. Correct the following to the nearest whole number:

I. 65.95378

II. 53.08527

B. Correct the following to three significant figures:

I. 301584

II. 0.003765

C. Correct to the nearest ten thousandths, 29.614 75.

QUESTION 3

Write the value of the following:

A. 60 +(-170)

B. -256+ 95

C. – 17 +(14)

D. +57 + (-35)

E. 30 – 2 – 4 + 5 – 17 + 2

QUESTION 4

Expand the following:

A. -6(k + m)

B. 4x + 3(x + 2y)

C. (7d – 5c) + ( 96 + 8c)

D. (m – r) – (2m – 4n)

E. (2w – 2m) (w + 2m)

QUESTION 5

Simplify the following:

A. (2x-3)/2 + (x+ y)/2

B. (5x – 7)/5 – (x + 1)/5

### JSS 3 MATHEMATICS

SECTION A

Instruction: Fill the gaps with the most suitable word from the options A – D.

1. In the expansion of (2a – 5)², the coefficient of a is ________.

a. 4

b. 3

c. 2

d. 1

2. Write 20.5 x 10^5 in a standard form

a. 2.05 x 10^1

b. 2.05 x 10^-2

c. 2.05 x 10-^4

d. 2.05 x 10^-6

3. If x = 7, evaluate 6 + x – 2x

a. 1

b. 0

c. -1

d. 27

4. Convert 410 to base two

a. 10two

b. 100two

c. 1000two

d. 10000two

5. A fair die has ________ faces.

a. 2

b. 4

c. 6

d. 8

6. A triangle with unequal sides and angles is ________.

a. equilateral

b. isosceles

c. scalene

d. right angle

7. Solve for x, if 2x + 5 = 9

a. 14

b. 7

c. 2

d .-2

8. If 24 = 2f + 3f + f, find f.

a. 8

b. 6

c. 4

d . 2

9. If 3/2 + x/3 = 11/6, find x

a. 4

b. 3

c. 2

d. 1

10. A crate of eggs contain 30 eggs, n of them are broken. How many eggs will remain?

a. (ń – 30) eggs

b. (30 + n) eggs

c. (n – 30) eggs

d. 30n eggs

11. The distance measured round an object is called.

b. perimeter

c. diameter

d. length

12. Simplify 28axy3 ÷ 7xy2

a. 4xy

b. 4axy

c. 4ax

d. 4ay

13. Round off the number 0.075 to 1 s.f.

a. 0.1

b. 0.7

c. 0.07

d. 0.08

14. How many lines of symmetry have a kite?

a. 5

b. 4

c. 3

d. 1

15. Find the simple interest of #6,000 for 5yrs at 9% per annum.

a #270

b. # 2,700

c. #5400

d. #27,00

16. The line drawn across 2 parallel lines is called a ________.

a. chord

b. diameter

d. transversal

17. A solid whose faces are triangular and the base a quadrilateral is called a ________.

a. sphere

b. pyramid

c. prism

d. cube

18. Given that a=1, b=2 and c=3, find the value of ab – bc

a. 11

b. -4

c. 4

d. -11

19. Expand (1 – d)²

a. d² – 2d – 1

b. d² – 2d +1

c. d² + 2d + 1

d. d² – 2d – 1

20. Express 1.5km in metres.

a. 1500 m

b. 150 m

c. 15 m

d. 1.5 m

SECTION B – THEORY

QUESTION 1

a. Make K the subject of the formula.

i. T = 4π (h² + k²)

ii. G = 3k – t

b. find the value of y in the figure below:

QUESTION 2

a. solve 2t + 5 = 7

b. find the square root of 3136 = t – 2²

QUESTION 3

a. Represent the following on a number line –

i. x < -2

ii. x > +5

b. find k and m using elimination method.

3k – 4m = 1 – – – – – – equation 1

2k – 3m = 12 – – – – – – equation 2

QUESTION 4

a. Find P and Q using substitution method:

P + Q = 17 – – – – – – equation 1

P – Q = 17 – – – – – – equation 2

b. Make π & l the subject of formula:

i. A = πr²

ii. A = L²

### SS 1 MATHEMATICS

Work in progress….

### SS 2 MATHEMATICS

SECTION A

Instruction: Fill the gaps with the most suitable word from the options A – D.

1. Number 576.4 equals log ________ using four figure table

a. -1.8857

b. 0.7611

c. 0.7607

d. -2.7607

2. Express 0.003471 in standard form.

a. 3.471 x 10¯³

b. 3.471 x 10¯²

¯c. 3.471 x 10³

d. 3.471 x 10¯³

Using the table below to answer questions 3 – 5.

₦50, ₦30, ₦40, ₦30, ₦35, ₦50, ₦40, ₦35, ₦40, ₦50

3. Find the mean of the amount.

a. ₦30

b. ₦35

c. ₦40

d. ₦50

4. Find the mode of the amount.

a. ₦30

b. ₦35

c. ₦40

d. ₦50

5. Find the median of the amount.

a. ₦35

b. ₦40

c. ₦50

d. ₦60

Using the diagram fig 1.

6. Calculate how many students are in computer science department.

a. 36°

b. 72°

c. 108°

d. 216°

7. Calculate how many students are in mechanical engineering department

a. 36°

b. 72°

c. 108°

d. 216°

8. In triangle ABC, A = 29°, B = 36° , b = 15.8 cm , find a.

a. 6.5 cm

b. 6.6 cm

c. 6.7 cm

d. 6 cm

9. Find the value of x,

a. x < – 4

b. x > 4

c. x < 3

d. x > – 3

10. Express 3472000 in standard form.

a. 3.472 x 10^5

b. 3.472 x 10^-5

c. 34.72 x 10^6

d. 3.472 x 10^6

11. < means ________.

a. greater than

b. less than

c. greater or equal to

d. not equal to

12. Find the value of x,

a. x < – 4

b. x > 4

c. x > – 4

d. x < – 4

13. Convert 110101two to base ten.

a. 5710

b. 5310

c. 6310

d. 6710

14. Fig 2.

means ________ angle.

a. obtuse

b. acute

c. reflex

d. right

15. x – a =

a. 1

b. a/x

c. 1/xa

d. x = a

16. In triangle PQR, P = 83°, p = 285 cm, r = 216 cm, calculate R

a. 48°

b. 48.8°

c. 47°

d. 131°

17. Find b, when B = 126°, c = 5.6 cm, a = 5cm

a. 9.45 cm

b. 9.5 cm

c. 9.54 cm

d. 10 cm

18. Convert 423three to base ten.

a. 1210

b. 3610

c. 2810

d. 1410

19. Fig 3

is ________.

a. x < – 5

b. x ≤ – 5

c. x > – 5

d. x ≥ – 5

20. In triangle ABC, A = 29o, B = 36o, b = 15.8cm, find a

a. 13.0cm

b. 13.1cm

c. 0.02cm

d. 15.2cm

SECTION B – THEORY

QUESTION 1

a. In triangle ABC, C = 53o, b = 3.56cm, c = 4.28cm, calculate B

b. calculate the values of angles A and C of ABC, where b = 14.35cm, a = 7.8cm, B = 115.6o (sine rule)

QUESTION 2

a. A = 120o, b = 7cm, c = 12cm

b. C = 29o, a = 2m, b = 3m (cosine rule)

QUESTION 3

a. solve the following inequalities i. 5x – 9 ≥ 4 ii. 28 – 5x < x – 4

b. Represent the following inequalities on number lines an Cartesian plane

i. -6 < x ≤ -2

ii. x ≤ -4 or x >1

QUESTION 4

a. Interpret the diagram fig 4, using the 2 types of bearing.

bi. Calculate the /AB/ and /BC/

ii. Find the dy/dx of Y = 3×2

### SS 3 MATHEMATICS

SECTION A

Instruction: Fill the gaps with the most suitable word from the options A – D.

1. Express the product of 0.06 and 0.09 in standard FORM.

a. 5.4 x 10¯³

b. 5.4 x 10¯²

c. 5.4 x 10¯¹

d. 5.4 x 10²

2. Simplify (27 1/3)²

a. 4 ½

b. 6

c. 9

d. 18

Using the table below for question 3 to 5.

Score                0    1    2    3    4    5

Frequency        2    3    4    2    7    2

3. Find the mode

a. 2

b. 3

c. 4

d. 5

4. Find the mean score.

a. 0

b. 2.5

c. 3

d. 5

5. The median score is ________.

a. 0

b. 2.5

c. 3

d. 5

6. What is the probability of having an odd number in a single toss of a fair dice?

a. 1/6

b. 1/3

c. ½

d. 2/3

7. Evaluate log6 + log45 – log27

a. 0

b. 1

c. 1.1738

d. 1.3802

8. Factorize 5y² + 2ay – 3a²

a. (5y-a)(y+3a)

b. (5y+a)(y-3a)

c. 5y2+a(2y-3a)

d. (y+a)(5y-3a)

9. What value of K makes the given expression a perfect square? M² – 8m + k.

a. 2

b. 4

c. 8

d. 16

10. if log10A = 4; what is A?

a. 0.410

b. 40

c. 400

d. 100

11. Find the area of triangle in fig 1.

a. 30 cm²

b. 30 cm³

C. 30 cm¹

D. 30 cm

12. If the 2nd and 4th terms of a G. P. are 8 and 32 respectively, what is the sum of the 1st 4 terms.

a. 28

b. 40

c. 48

d. 60

13. Find the volume of a cone of radius 3.5cm and vertical height 12cm. π = 22/7

a. 3.4 cm³

b. 15.5 cm³

c. 21.0 cm³

d. 42 cm³

14. The angle of a sector of a circle of diameter 8cm is 135o. Find the area of the sector.

a. 9 3/7 cm²

b. 12 4/7 cm²

c. 12 4/7 cm²

d. 25 1/7 cm²

15. If sin θ =1/2 and Cos θ = -√3/2, what is the value of θ?

a. 30º

b. 60º

c. 90º

d. 120º

16. Solve for t in equation ¾ t + 1/3 (21-t) = 11

a. 9/13

b. 9/

c. 5

d. 9 3/5

17. A school girl spends ¼ of her pocket money on books and 1/3 on dress. What fraction remains?

a. 5/6

b. 7/12

c. 5/12

d. 1/6

18. Find x, using fig 2.

a. 18º

b. 28º

c. 35º

d. 44º

19. If logqp = r, express p in terms of q and r.

a. p = qr

b. p = rq

c. p = r/q

d. p = qr

20. Given that √128 + √18 – √k = 7√2, find k.

a. 8

b. 16

c. 32

d. 48

21. Divide #900 in the ratio 3 : 2

a. 540 : 300

b. 360 : 540

c. 540 : 360

d. 500 : 400

22. Factorize x² – 8x + 16 = 16.

a. (x+4) (x+4)

b. (x+4) (x-4)

c. (x-4) (x-4)

d. (x-4) (x+4)

23. In the below triangle, x is a ________ angle.

a. reflex

b. obtuse

c. right

d. acute

24. Express 0.006313 in a standard form.

a. 63.13 x 10²

b. 6.313 x 10¯³

c. 63.13 x 10¯²

d. 6.313 x 10³

25. A point X is 34m due east of a point Y, the bearing of a flagpole from X and Y are N18º W and N40º E respectively. Calculate the distance of the flagpole Y.

a. 40.7 m

b. 30 m

c. 30.7 m

d. 40 m

26. Fig 4, means.

a. y < -2

b. y ≤ -2

c. y > -2

d. y ≥ -2

27. Find a, when A = 58.1o, b = 10m, c = 8.5m

a. 9.5m

b. 9.4m

c. 89.8 m

d. 8.98 m

28. Express 6700 in a standard form.

a. 6.7 x 10¯³

b. 6.7 x 10³

c. 6.7 x 10¯²

d. 6.7 x 10¯²

29. Solve for x in equation 2×3 = 54.

a. 4

b. 27

c. 3

d. 1/3

30. Evaluate 3.802 x 2.09, using rough check.

a. 8

b. 7.95

c. 8.95

d.7

31. Convert 210three to base ten.

a. 21ten

b. 20ten

c. 22ten

d. 210ten

32. Simplify 5/2 – x/2 + 5 to a single fraction.

a. (3 – x) + 10/2

B. (7 – x)/2

c. (13 – x)/4

d. (13 – x)/2

33. Factorize 3ab – 6ac + 3ad.

b. 3a(b + c + d)

c. 1ab(3 + 6 + 3)

d. 3a(b – 2c + d)

34. a triangle has sides 8cm and 5cm and angles of 90o between them. Calculate the small angle.

a. 58.3º

b. 32.1º

c. 90º

d. 45º

35. Convert 110101two to base ten.

a. 53ten

b. 49ten

c. 55ten

d. 32ten

36. When x = 3, y = 5. What will x be when y =25?

a. 15

b. 23

c. 20

d. 27

37. In triangle ABC, C = 53o , b = 3.56m, c = 4.28m. Calculate B.

a. 41º

b. 41.5º

c. 40º

d. 42º

38. Q = Q3 – Q1/2 defines ________.

a. quartile

b. semi quartile

c. semi inter quartile range

d. inter quartile range

Using fig 5 to answer 39-40.

39. Find x.

a. 2

b. 14

c. 28

d. 48

40. How many students are in group B?

a. 16

b. 30

c. 18

d. 42

41. In a class of 35 students, 19 take history and 12 take economics. If 5 take both subjects, how many take neither?

a. 7

b. 8

c. 6

d. 5

42.

a. x < -5

b. x ≤ -5

c. x > -5

d. x ≥ -5

43. Reduce 360x2y/300xy2 to the lowest term.

a. 6y/5x

b. 6x/5y

c. 5x/6y

d. 5y/6x

44. Which of the statement is correct about alternating angle?

a. a = b

b. a = p

c. a = q

d. none of the above.

45. Calculate a, using triangle ABC, A = 29º, B=36º, b=15.8cm

a. 13

b. 13.1

c. 14

d. 14.1

Using the pie chart fig 6 to answer number 46-49.

46. What fraction of the time is spent sleeping?

a. 3/8

b. ¼

c. 2/5

d. 8/24

47. What percentage of the time is spent studying?

a. 50%

b. 2.5%

c. 25%

d.33.3%

48. How much time is spent studying?

a. 3 hrs

b. 4 hrs

c. 4 hrs 30mins

d. 5hrs

49. How much time is spent travelling, calc. the value of x.

a. 87ª

b. 24º

c. 48o

d. 12º

50. Calculate the volume of cone of fig 7.

a. 3,193.5 cm³

b. 4,714.3 cm³

c. 4,714.2 cm³

d. 3,193.4 cm³

### SECTION B – THEORY

Question 1

a. Solve 1 = 27(1-x) 81(x-2)

b. Simplify 5/√7-√3 + 1/√7 – √3 leaving your answer in surd form.

Question 2

The diagram fig 1 shows the position of 3 points X,Y,Z on the horizontal plane. The bearing of Y from X is 312o and that of Y from Z is 022o. if /XY/ = 32 km and /ZY/ = 50km. calculate, correct to one decimal place.

i. /XY/

ii. The bearing of Z from X

Question 3

CLASS INTERVAL              FREQUENCY

60  –  64                                   2

65  –  69                                   3

70  –  74                                   6

75  –  79                                  11

80  –  84                                   8

85  –  89                                   7

90  –  94                                   2

95  –  99                                   1

Calculate the,

a. Mean

b. Standard deviation of the distribution in 2 d.p.

Question 4

a. Two positive whole number P and Q are such that P is greater than Q and their sum is equal to 3 times their difference, express P in terms of Q

b. Hence, evaluate

I. P2 + Q2

II. PQ