# SS 1 FIRST TERM EXAMINATION MATHEMATICS

**GENERAL MATHEMATICS**

**CLASS: SSS 1**

**TIME APPROVED: 2 HOURS 30 MINUTES**

**INSTRUCTIONS:** Answer all questions in this part. Examination malpractices may lead to a repeat of the subject or suspension. Do not be involved.

**If P = {x | 1 ≤ x ≤ 6} and Q = {x | 2 < x < 9}, find P ∩ Q:**

A. {1, 2, 3, 4}

B. {3, 4, 5, 6}

C. {4, 2, 9, 8}

D. {1, 2, 3, 5}**Simplify:**

A. -2/3 + 4

B. -1/4

C. 1/8

D. -4**Simplify:**

A. -6/2 + r/2

B. 2r

C. 1/2r

D. 2/r**What is the product of 27/5, 3^-3, and (1/5)^-1?**

A. 5

B. 3

C. 1

D. 1/25**Evaluate:**(81)^(3/4) – (27)^(1/3)

A. 27

B. 1

C. 1/3

D. 1/8**Without using tables, evaluate:**(343)^(1/3) × (0.14)^-1 × (25)^(-1/2)

A. 12

B. 10

C. 8

D. 7**If 2^3x + 10^1x = 130^x, find the value of x:**

A. 7

B. 6

C. 5

D. 4**Simplify:**(0.2)^3 × 8

A. 0.42

B. 0.4

C. 0.2

D. 0.04**Simplify:**4(2n + 1) – 2n + 2

A. 2n + 2

B. 2n + 1

C. 4

D. 2

E. 2n**Express 0.0000407, correct to 2 significant figures:**

A. 0.0

B. 0.00004

C. 0.000041

D. 0.0000407**If x varies inversely as y and y varies directly as z, what is the relationship between x and z?**

A. x ∝ z

B. x ∝ z^2

C. x ∝ 1/z

D. x ∝ 1/z^2**Using the addition table (Fig 1) and multiplication table (Fig 2) in modulo 5, solve the equation:**(n × 4) + 3 = 0

A. 1

B. 2

C. 3

D. 4**The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola’s age to Musa’s age is 4:5, what is the ratio of Tunde’s age to Musa’s age?**

A. 1:4

B. 1:5

C. 2:5

D. 5:2**If M = {x | 3 ≤ x < 8} and N = {x | 8 < x ≤ 12}, which of the following is true?**

I. M ∩ N = ∅

II. M ∪ N = {x | 3 ≤ x ≤ 12}

III. M ∩ N = {8}

A. III only

B. I and II only

C. II and III only

D. I, II, and III**If x = 1 and y = -6, evaluate:**xy – 3

A. 0

B. 5

C. 8

D. 9**Solve the equation:**2/x + 1/x = 3

A. 2

B. 3

C. 4

D. 5**A sum of 18,100 was shared among 5 boys and 4 girls with each boy taking 20 more than each girl. Find a boy’s share.**

A. 1,820

B. 2,000

C. 2,020

D. 2,040**One of the factors of 7x^2 + 33x – 10 is:**

A. 7x + 5

B. x – 2

C. 7x – 2

D. x – 5**Solve:**x/(3x – 2) = 2/3

A. 2/3

B. 1/2

C. 3/4

D. 3/5**Simplify:**3x – (p – x) – (r – p)

A. 2x – r

B. 2x + r

C. 4x – r

D. 2x – 2p – r**An arc of a circle of radius 7.5 cm is 7.5 cm long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle.**(Use π = 3.14)

A. 29°

B. 57°

C. 65°

D. 115°**Which of the following is true about a parallelogram?**

A. Opposite angles are supplementary

B. Opposite angles are complementary

C. Opposite angles are equal

D. Opposite angles are reflex angles**A bearing of 320° expressed as a compass bearing is:**

A. N50°W

B. N40°W

C. N50°E

D. N40°E**In the diagram, XY is a straight line. ∠POX = ∠POQ and ∠ROY = ∠QOR. Find the value of ∠POQ + ∠ROY**

A. 60°

B. 90°

C. 100°

D. 120°**A stationary boat is observed from a height of 100 m. If the horizontal distance between the observer and the boat is 80 m, calculate, correct to two decimal places, the angle of depression of the boat from the point of observation.**

A. 36.87°

B. 39.70°

C. 51.34°

D. 53.13°**The average age of a group of 25 girls is 10 years. If one girl, aged 2 years and 4 months joins the group, find, correct to one decimal place, the new average age of the group.**

A. 10.1 years

B. 9.3 years

C. 8.7 years

D. 8.3 years**In the diagram, NQ || TS, ∠RTS = 50° and ∠PRT = 100°. Find the value of ∠NPR.**

A. 110°

B. 130°

C. 140°

D. 150°**Simplify the expression:**a^2 – b^2

A. b^2 – a^2

B. a^2b – ab^2

C. ab^2 – a^2b

D. (a – b)(a + b)**Find the 6th term of the sequence:**2, 6, 12, …

A. 30

B. 36

C. 42

D. 48**The diagonal of a square is 60 cm. Calculate its perimeter.**

A. 40 cm

B. 60 cm

C. 90 cm

D. 120 cm**The roots of a quadratic equation are 1/2 and -1. Find the equation.**

A. 6x^2 – x + 2 = 0

B. 6x^2 – x – 2 = 0

C. 6x^2 + x – 2 = 0

D. 6x^2 + x + 2 = 0**Find the value of k if k^2 = 16.**

A. 4

B. 8

C. -4

D. ±4**If 3x – 2 = 4 and 2x + 1 = 3, find the value of x.**

A. 1

B. 2

C. 3

D. 4**The perimeter of a rectangle is 28 cm and its width is 4 cm. Find its length.**

A. 8 cm

B. 10 cm

C. 12 cm

D. 14 cm**Simplify:**3(x – 4) + 2x – 6

A. 5x – 12

B. 5x – 6

C. 7x – 10

D. 7x – 12**Calculate the area of a triangle with base 12 cm and height 10 cm.**

A. 60 cm²

B. 100 cm²

C. 120 cm²

D. 150 cm²**The value of 0.8 × 0.8 – 0.2 × 0.2 is:**

A. 0.2

B. 0.5

C. 0.6

D. 0.8**The mean of 2, 4, 6, 8, and 10 is:**

A. 5

B. 6

C. 7

D. 8**The sum of three consecutive numbers is 54. Find the smallest number.**

A. 16

B. 17

C. 18

D. 19**A car travels 120 km in 2 hours. What is its average speed in km/h?**

A. 50 km/h

B. 60 km/h

C. 70 km/h

D. 80 km/h**If the area of a circle is 154 cm², find the radius.**(Use π = 3.14)

A. 7 cm

B. 8 cm

C. 14 cm

D. 21 cm**What is the common difference of the arithmetic sequence 5, 8, 11, 14, …?**

A. 3

B. 4

C. 5

D. 6**If a number is increased by 20% and then decreased by 20%, the final value will be:**

A. The original number

B. 4% less than the original number

C. 2% less than the original number

D. 5% less than the original number**Which of the following is the sum of the first 10 terms of an arithmetic series where the first term is 2 and the common difference is 3?**

A. 155

B. 160

C. 165

D. 170**Solve for x:**5(x + 2) = 2x + 24

A. 2

B. 4

C. 6

D. 8**In a right-angled triangle, if the length of the hypotenuse is 13 cm and one of the sides is 5 cm, find the length of the other side.**

A. 8 cm

B. 9 cm

C. 10 cm

D. 12 cm**The ratio of boys to girls in a class is 3:4. If there are 36 girls, how many boys are there?**

A. 24

B. 27

C. 30

D. 32**If a polygon has 8 sides, find the sum of its interior angles.**

A. 1080°

B. 720°

C. 900°

D. 640°**Calculate the volume of a cube with a side length of 4 cm.**

A. 64 cm³

B. 48 cm³

C. 16 cm³

D. 32 cm³**What is the next number in the sequence 1, 4, 9, 16, …?**

A. 20

B. 25

C. 30

D. 36**Find the median of the following set of numbers:**8, 12, 15, 20, 22, 25, 30

A. 15

B. 20

C. 22

D. 25**The circumference of a circle is 31.4 cm. Find the diameter.**(Use π = 3.14)

A. 10 cm

B. 15 cm

C. 20 cm

D. 25 cm**What is the surface area of a cube with a side length of 6 cm?**

A. 216 cm²

B. 144 cm²

C. 96 cm²

D. 72 cm²**If y = 3x + 4 and x = 2, find y.**

A. 8

B. 10

C. 12

D. 14**The LCM of 12 and 15 is:**

A. 30

B. 45

C. 60

D. 75**The greatest common divisor (GCD) of 18 and 24 is:**

A. 2

B. 4

C. 6

D. 12**The cost of 5 notebooks is $20. What is the cost of 7 notebooks at the same rate?**

A. $28

B. $30

C. $35

D. $40**In a triangle, if one angle is 90° and another is 45°, what is the measure of the third angle?**

A. 45°

B. 60°

C. 75°

D. 90°**Find the value of x in the equation:**2x + 5 = 17

A. 5

B. 6

C. 7

D. 8**The perimeter of a rectangle is 40 cm, and its length is 12 cm. Find its width.**

A. 8 cm

B. 10 cm

C. 12 cm

D. 14 cm