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JAMB Mathematics Practice

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Question 1

What is the value of 3 + 7 × 2?

Numbers and numerationNumbers and numerationeasy

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Question 2

Simplify the expression: 4x - 2x + 7.

Algebraic expressions and equationsAlgebraic expressions and equationseasy

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Question 3

If 5x - 3 = 2, what is the value of x?

Linear, quadratic, and cubic equationsLinear equationseasy

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Question 4

Which function represents a quadratic equation?

Functions and graphsFunctions and graphseasy

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Question 5

Evaluate 2³ × 2².

Indices, surds, and logarithmsIndiceseasy

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Question 6

Find the next term in the sequence: 2, 4, 8, 16, ...

Sequences and seriesSequences and serieseasy

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Question 7

What is sin 90°?

Trigonometry and trigonometric equationsTrigonometry basicseasy

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Question 8

Find the length of the line segment joining points A(2, 3) and B(5, 7).

Coordinate geometryCoordinate geometryeasy

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Question 9

The equation of a circle with centre at (0,0) and radius 4 is:

Circle properties and equationsCircle equationseasy

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Question 10

What is the area of a rectangle with length 5 cm and width 3 cm?

Mensuration (area, volume, surface area)Area calculationseasy

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Question 11

If the probability of an event happening is 0.3, what is the probability it does not happen?

Statistics and probabilityProbability basicseasy

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Question 12

If y varies directly as x and y = 10 when x = 2, find y when x = 5.

Variation and proportionDirect variationeasy

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Question 13

Which of the following is a subset of set A = {1, 2, 3}?

Set theory and logicSets and subsetseasy

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Question 14

What is the value of log₁₀ 1000?

Indices, surds, and logarithmsLogarithmsmedium

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Question 15

Solve the quadratic equation x² - 5x + 6 = 0.

Linear, quadratic, and cubic equationsQuadratic equationsmedium

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Question 16

If f(x) = 2x + 3, what is f(4)?

Functions and graphsFunction evaluationmedium

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Question 17

Find the sum of the first 5 terms of the arithmetic series: 3, 7, 11, ...

Sequences and seriesArithmetic seriesmedium

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Question 18

Solve for x: 2^(x+1) = 16.

Indices, surds, and logarithmsExponential equationsmedium

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Question 19

Find the volume of a cylinder with radius 3 cm and height 5 cm.

Mensuration (area, volume, surface area)Volume calculationsmedium

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Question 20

If tan θ = 1, what is θ in degrees between 0° and 90°?

Trigonometry and trigonometric equationsTrigonometric ratiosmedium

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Question 21

Find the midpoint of the line segment joining points (2, 3) and (6, 7).

Coordinate geometryMidpoint formulamedium

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Question 22

Which equation represents a circle with centre (2, -3) and radius 5?

Circle properties and equationsCircle equationsmedium

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Question 23

Find the surface area of a cube with side length 4 cm.

Mensuration (area, volume, surface area)Surface area calculationsmedium

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Question 24

If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∩ B?

Set theory and logicSet operationsmedium

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Question 25

Solve the cubic equation x³ = 27.

Linear, quadratic, and cubic equationsCubic equationsmedium

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Question 26

Simplify (√50) × (√2).

Indices, surds, and logarithmsSurdsmedium

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Question 27

The fifth term of the arithmetic progression 3, 7, 11,... is:

Sequences and seriesArithmetic progressionmedium

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Question 28

If sin θ = 0.6 and θ is acute, find cos θ.

Trigonometry and trigonometric equationsTrigonometric identitiesmedium

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Question 29

Find the equation of the line passing through (1,2) with slope 3.

Coordinate geometryEquation of straight linemedium

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Question 30

A sphere has radius 6 cm. Find its volume.

Mensuration (area, volume, surface area)Volume calculationshard

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Question 31

Solve for x: 3x² - 12x + 9 = 0.

Linear, quadratic, and cubic equationsQuadratic equationshard

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Question 32

Find log₂ 32.

Indices, surds, and logarithmsLogarithmshard

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Question 33

Given the sequence defined by a₁=1, aₙ= 2aₙ₋₁ +1, find a₃.

Sequences and seriesRecurrence relationshard

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Question 34

If the radius of a circle is doubled, by what factor does its area increase?

Circle properties and equationsCircle areahard

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Question 35

If 3x + 2y = 12 and x = 2, find y.

Linear, quadratic, and cubic equationsLinear equationseasy

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Question 36

Simplify: (x²)³.

Indices, surds, and logarithmsIndiceseasy

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Question 37

Find the common difference of the arithmetic progression: 7, 10, 13, 16,...

Sequences and seriesArithmetic progressioneasy

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Question 38

If sin A = 3/5 in a right triangle, find cos A.

Trigonometry and trigonometric equationsTrigonometric identitiesmedium

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Question 39

Find the length of arc of a circle with radius 7 cm and angle 60° at the centre.

Mensuration (area, volume, surface area)Arc lengthhard

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Question 40

If sets A = {1, 2, 3} and B = {3, 4, 5}, find A ∪ B.

Set theory and logicSet operationseasy

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Question 41

Find the distance between points (-1, 4) and (3, 0).

Coordinate geometryDistance formulamedium

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Question 42

If logₐ b = 3 and logₐ c = 5, find logₐ (b × c).

Indices, surds, and logarithmsLogarithm propertiesmedium

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Question 43

Solve for x: 4^(2x - 1) = 64.

Indices, surds, and logarithmsExponential equationsmedium

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