Classroom

Mathematics Past Questions

Study and practice Mathematics past questions with answers and detailed explanations. Then test your knowledge using our interactive CBT practice platform and prepare confidently for your upcoming examinations.

96 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

Select subject

Download PHP app Ask a Question Check Syllabus Past Question Videos Topic Video Lessons

Take a test

Custom CBT

Create and set up a CBT environment with your preferred subjects.

JAMB CBT Simulator

Practice JAMB CBT with real UTME past questions in CBT format.

WAEC CBT Practice 2026 Simulator

CB-WASSCE styled past question practice.

NECO CBT Practice 2026 Simulator

SSCE & GCE styled past question practice.

Past Questions

96 questions

Question 1 of 20 96 total questions

Question 31

jamb 2006

A binary operation \(\oplus\) defined on the set of real number is such that x\(\oplus\)y = xy/6 for all x, y ∈ R. Find the inverse of 20 under this operation when the identity element is 6

A¹/₁₂

B¹⁰/₃

C¹/₂₀

D⁹/₅

View Explanation & Discuss

Question 32

jamb 2006

The solution set of the shaded area above is

Ay ≥ 0, y ≥ x and y + x ≤ 4

By ≤ x, y + x ≤ 4

Cy + x ≥ 4, y ≤ x

Dy ≤ x, y + x ≤ 4 and y ≥ 0

View Explanation & Discuss

Question 33

jamb 2006

In the diagram above, PQ = 10 cm, PS = 8 cm and ∠PSR is 60^o while ∠SRQ is a right angle. Find SR

A14 cm

B14√3 cm

C10 cm

D10√3 cm

View Explanation & Discuss

Question 34

jamb 2006

If the locus of the points which are equidistant from point P and Q meets line PQ at point N, then PN equals

ANQ

B¹/₄NQ

C2NQ

D¹/₂NQ

View Explanation & Discuss

Question 35

jamb 2006

PQRSTW is a regular hexagon and QS intersects RT at V. Calculate ∠TVS

A120^o

B90^o

C30^o

D60^o

View Explanation & Discuss

Question 36

jamb 2006

What is the locus of points equidistant from the lines ax + by + c = 0?

AA line bx - ay +q = 0

BA line ax - by +q = 0

CA line bx + ay +q = 0

DA line ax + by +q = 0

View Explanation & Discuss

Question 37

jamb 2006

In the diagram above, POQ is a diameter of the circle PQRS. If ∠PSR = 145°, find x°

A55^o

B45^o

C35^o

D25^o

View Explanation & Discuss

Question 38

jamb 2006

In the diagram above, find the value of x

A55^o

B50^o

C45^o

D40^o

View Explanation & Discuss

Question 39

jamb 2006

In triangle XYZ, ∠XYZ = 15o, ∠XZY = 45o and lXYl = 7 cm. Find lYZl.

A14√2 cm

B\(7\left(\frac{\sqrt{6}}{2}\right)\)

C7√2 cm

D7 cm

View Explanation & Discuss

Question 40

jamb 2006

PQ and RS are two parallel lines. If the coordinates of P, Q, R, S are (1,q), (3,2), (3,4), (5,2q) respectively, find the value of q

View Explanation & Discuss

Question 41

jamb 2006

If tan θ = ⁵/₄, find sin²θ - cos²θ.

A⁵/₄

B⁴¹/₉

C⁹/₄₁

View Explanation & Discuss

Question 42

jamb 2006

In the diagram above, QR is the diameter of the semicircle QR. Find the area of the figure to the nearest whole number. [\(\pi = \frac{22}{7}\)]

A89 cm²

B70 cm²

C90 cm²

D80 cm²

View Explanation & Discuss

Question 43

jamb 2006

Convert 2232\(_4\) to base six

A450₆

B254₆

C553₆

D540₆

View Explanation & Discuss

Question 44

jamb 2006

Simplify \((25)^{\frac{-1}{2}} \times (27)^{\frac{1}{3}} + (121)^{\frac{-1}{2}} \times (625)^{\frac{-1}{4}}\)

A³⁴/₅₅

B⁹/₁₁

C¹⁴/₅

D³/₂₇₅

View Explanation & Discuss

Question 45

jamb 2006

Compute 110011₂ + 11111₂

A1001010₂

B1010010₂

C1000110₂

D1000100₂

View Explanation & Discuss

Question 46

jamb 2006

Evaluate \(\frac{2}{6-5\sqrt{3}}\)

A\(-\left(\frac{12}{39}-\frac{10\sqrt{3}}{39}\right)\)

B\(\frac{12}{39}-\frac{10\sqrt{3}}{39}\)

C\(-\left(\frac{12}{39}+\frac{10\sqrt{3}}{39}\right)\)

D\(\frac{12}{39}+\frac{10\sqrt{3}}{39}\)

View Explanation & Discuss

Question 47

jamb 2006

Find the tax on an income of N20,000 if no tax is paid on the first N10,000 and tax is paid at N50 in N1000 on the next N5000 and at N55 in N1000 on the remainder

AN500

BN552

CN255

DN525

View Explanation & Discuss

Question 48

jamb 2006

In a small village of 500 people, 350 speak the local language while 200 speak pidgin English. What percentage of the population speak both.

A30%

B10%

C50%

D14%

View Explanation & Discuss

Question 49

jamb 2006

If (K2)\(_6\) * 3\(_6\) = 3\(_5\)(K4)\(_5\), what is the value of k?

View Explanation & Discuss

Question 50

jamb 2006

Calculate the logarithm to base 9 of 3\(^{-4}\) x 9\(^2\) x (81)\(^{-1}\)

Bzero

C-2

D-4

View Explanation & Discuss

Question Navigator

Current

Mathematics Past Questions

Take a test

Custom CBT

JAMB CBT Simulator

WAEC CBT Practice 2026 Simulator

NECO CBT Practice 2026 Simulator

Past Questions

Question Navigator

MathsFaculty