NECTA Basic Mathematics AI Practice

Question 1

What is the value of 15 × 4 ÷ 3?

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Question 2

Simplify the algebraic expression: 3x + 5x - 2x.

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Question 3

Solve for x: 5x - 7 = 18.

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Question 4

Find the roots of the quadratic equation: x² - 5x + 6 = 0.

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Question 5

What is the midpoint of the line segment joining points (2, 3) and (6, 7)?

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Question 6

Calculate the perimeter of a rectangle with length 8 cm and width 5 cm.

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Question 7

If sin θ = 0.6 and θ is acute, what is cos θ?

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Question 8

Calculate the mean of the data set: 4, 7, 10, 6, 8.

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Question 9

If the probability of an event occurring is 0.3, what is the probability of it not occurring?

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Question 10

Simplify: (2x³y²) × (3x⁴y⁵).

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Question 11

Solve the equation 2x + 3 = 7x - 2 for x.

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Question 12

Find the axis of symmetry for the quadratic function y = x² - 4x + 3.

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Question 13

Find the distance between points (1, 2) and (4, 6).

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Question 14

Calculate the area of a circle with radius 7 cm. (Use π = 22/7)

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Question 15

If tan θ = 1, what is the value of θ in degrees?

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Question 16

Calculate the median of the data set: 12, 15, 11, 14, 13.

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Question 17

The probability of drawing a red card from a standard deck of 52 cards is:

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Question 18

Factorize the expression: x² + 5x + 6.

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Question 19

A triangle has sides 7 cm, 24 cm, and 25 cm. Is it a right triangle?

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Question 20

Solve for x: x² - 9 = 0.

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Question 21

What is the value of 25 × 4 ÷ 5?

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Question 22

Solve for x in the equation 2x - 7 = 9.

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Question 23

If y = 3x + 2, what is y when x = 4?

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Question 24

What are the roots of the quadratic equation x² - 5x + 6 = 0?

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Question 25

Find the distance between points A(2,3) and B(5,7) in the coordinate plane.

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Question 26

Calculate the perimeter of a rectangle with length 12 cm and width 7 cm.

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Question 27

The height of a triangle is 8 cm and base is 15 cm. Find its area.

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Question 28

If sin θ = 0.6, what is cos θ assuming θ is acute?

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Question 29

A die is rolled once. What is the probability of getting an even number?

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Question 30

Solve the quadratic equation x² + 4x + 4 = 0 by factorization.

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Question 31

What is the slope of the line passing through points (1,2) and (3,8)?

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Question 32

Find the volume of a cylinder with radius 3 cm and height 10 cm. Use π = 3.14.

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Question 33

If tan θ = 1, what is the value of θ in degrees (0° < θ < 90°)?

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Question 34

A bag contains 3 red, 4 green, and 5 blue balls. If one ball is picked at random, what is the probability it is green?

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Question 35

Expand and simplify: (x + 3)(x - 2).

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Question 36

The base of a triangle is 10 cm and the area is 50 cm². Find the height.

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Question 37

Solve for x: 3x² = 75.

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Question 38

Find the median of the data set: 3, 7, 8, 5, 12.

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Question 39

If the height of a cone is 9 cm and radius is 4 cm, find its volume. Use π = 3.14.

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Question 40

What is the result of 15 × 4 ÷ 3?

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Question 41

Simplify: 3(x + 4) - 2x.

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Question 42

Find the distance between points A(3,4) and B(7,1).

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Question 43

If sin θ = 3/5, find cos θ assuming θ is acute.

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Question 44

The mean of five numbers is 12. If one number is removed, the mean becomes 10. What is the removed number?

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Question 45

(Fixed) The mean of five numbers is 12. If one number is removed, the mean of the remaining numbers is 10. What is the removed number?

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Question 46

Simplify: (2x²y)(-3xy²).

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Question 47

Solve: 2x + 3 = 7x - 12.

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Question 48

If the quadratic equation x² + 6x + k = 0 has equal roots, find k.

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Question 49

Find the midpoint of points P(2, -3) and Q(6, 5).

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Question 50

The volume of a cube is 125 cm³. Find the length of one edge.

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Question 51

In right triangle ABC, if angle A = 30° and hypotenuse = 10 cm, find the length of side opposite to angle A.

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Question 52

A bag contains 3 red and 7 blue balls. If one ball is drawn at random, what is the probability it is red?

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Question 53

Expand and simplify: (x - 3)(x + 5).

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Question 54

Find the height of a cylinder with radius 7 cm and volume 462 cm³ (Use π = 22/7).

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Question 55

What is the value of 7 × 8 ÷ 4?

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Question 56

Solve for x: 5x - 3 = 2x + 6

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Question 57

If the roots of the quadratic equation x² - 5x + 6 = 0 are α and β, what is α + β?

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Question 58

What is the distance between points A(2,3) and B(5,7) in the coordinate plane?

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Question 59

Find the area of a circle with radius 7 cm. (Take π = 22/7)

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Question 60

Find sin 30°.

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Question 61

What is the probability of rolling a number greater than 4 on a fair six-sided die?

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Question 62

Calculate the value of 2x + 3 when x = -2.

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Question 63

Solve the quadratic equation x² - 4x - 5 = 0.

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Question 64

A triangle has sides of length 7 cm, 24 cm, and 25 cm. Is it a right-angled triangle?

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Question 65

Find the slope of the line passing through points (3, 4) and (7, 12).

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Question 66

If sin θ = 3/5 and θ is acute, find cos θ.

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Question 67

Find the median of the data set: 3, 7, 9, 12, 15.

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Question 68

Solve for x: 2x² - 7x + 3 = 0

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Question 69

If the height of a cylinder is doubled and its radius is halved, how does the volume change?

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Question 70

Find the equation of the line perpendicular to y = 2x + 3 passing through (1,2).

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Question 71

The probability that it rains on a particular day is 0.3. What is the probability that it does not rain?

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Question 72

Calculate tan 45°.

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Question 73

What is the value of 15 × 4 - 6 ÷ 3?

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Question 74

Simplify the expression: 3(x - 2) + 4x.

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Question 75

What are the coordinates of the midpoint of the segment joining points (2, 3) and (6, 7)?

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Question 76

Calculate the surface area of a cube with side length 5 cm.

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Question 77

If sin θ = 3/5, find cos θ assuming θ is in the first quadrant.

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Question 78

Find the equation of the line passing through (1,2) and having a slope of 3.

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Question 79

Solve the quadratic equation 2x² - 4x - 6 = 0 using the quadratic formula.

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Question 80

A cylinder has radius 3 cm and height 7 cm. Calculate its volume.

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Question 81

Given triangle ABC with angle A = 90°, side AB = 6 cm, side AC = 8 cm, find length BC.

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Question 82

What is the value of 7 × 6 - 4 ÷ 2?

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Question 83

If 3x - 5 = 16, what is the value of x?

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Question 84

A trapezium has parallel sides of lengths 8 cm and 5 cm, and the distance between them is 4 cm. What is its area?

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Question 85

If the quadratic equation \(2x^2 - 4x - 6 = 0\) is solved by factorization, what are the values of \(x\)?

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