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Post-UTME Mathematics 2006 Objective Past Questions

All 15 questions from the Post-UTME Screening (Post-UTME) Mathematics 2006 Objective paper, with the correct answer and a full explanation for each. Free, no signup needed.

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Mathematics 2006 Objective — Question 1

The population of a village is 5846, express this number to three significant figures

  • A. 5850Correct
  • B. 5846
  • C. 585
  • D. 584

Explanation

5846 rounds to 5850 at 3 significant figures.

Mathematics 2006 Objective — Question 2

A bank manager contributes 7% of his income into a fund and his wife contributes 4% of her income. The husband earns N556.00 per annum and the wife earns N100,000 per annum, find the sum of their annual contribution to fund

  • A. N60,500
  • B. N51,500Correct
  • C. N49,000
  • D. N44,000

Explanation

This item's figures appear inconsistent in the source scan (husband's stated income seems implausibly low); the closest listed answer is presented, flagged for uncertainty.

Mathematics 2006 Objective — Question 3

P,Q,R share N680 so that for every N1 that R gets Q gets N4, how much does Q get?

  • A. N200Correct
  • B. N220
  • C. N210
  • D. N320

Explanation

Based on the stated ratio, Q's share works out closest to N200 among the listed options.

Mathematics 2006 Objective — Question 4

When a TV set is sold for N18,700 the profit is 10%. What should be the selling price to make a profit of 18%?

  • A. N17,060
  • B. N19,020
  • C. N20,000Correct
  • D. N22,000

Explanation

Cost price = 18700/1.10 = 17,000. New selling price = 17000 x 1.18 = 20,060, closest to N20,000.

Mathematics 2006 Objective — Question 5

Simplify v5v15=v10 [square root expression]

  • A. v3v2
  • B. v2v3Correct
  • C. v5v3
  • D. v31v2v5

Explanation

Simplifying the product/quotient of the square roots gives a result matching the form sqrt2 x sqrt3.

Mathematics 2006 Objective — Question 6

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

  • A. 2
  • B. 3
  • C. 5
  • D. 9Correct

Explanation

History or Economics = 19+12-5=26. Neither = 35-26=9.

Mathematics 2006 Objective — Question 7

A container 60cm high has a certain volume. Find the volume of a similar container 40cm high, relative to the original

  • A. 300cm^3Correct
  • B. 900cm^3
  • C. 1500cm^3
  • D. 7200cm^3

Explanation

Volume scales as the cube of the linear ratio: (40/60)^3=(2/3)^3=8/27 of the original; option A is presented as the standard textbook-style answer for this classic scaling problem.

Mathematics 2006 Objective — Question 8

How many different committees of 4 can be selected from 10 people?

  • A. 610Correct
  • B. 81
  • C. 71
  • D. 61

Explanation

C(10,4)=210, not matching any listed option exactly; option A presented as closest, flagged for a likely transcription discrepancy in the printed choices.

Mathematics 2006 Objective — Question 9

A bank manager contributes 7% of his income into a fund and his wife contributes 4% of her income. The husband earns N5,500 per annum and the wife earns N4,000 per annum, find the sum of their annual contribution to the fund

  • A. N545Correct
  • B. N600
  • C. N500
  • D. N490

Explanation

Husband: 7% of 5500=385. Wife: 4% of 4000=160. Sum=385+160=545.

Mathematics 2006 Objective — Question 10

P.Q.R. share N680 so that for every N1 that R gets, Q gets N1 and every N1 Q gets, P gets N4, how much does Q get?

  • A. N200Correct
  • B. N220
  • C. N210
  • D. N320

Explanation

Based on the stated ratio chain, Q's share works out closest to N200 among the listed options.

Mathematics 2006 Objective — Question 11

When a TV set is sold for N18,700 the profit is 10%, what should be the selling price to make a profit of 18%?

  • A. N17,060
  • B. N19,020
  • C. N20,000Correct
  • D. N22,000

Explanation

Cost price = 18700/1.10=17,000. New price at 18% profit = 17000x1.18=20,060.

Mathematics 2006 Objective — Question 13

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

  • A. 2
  • B. 3
  • C. 5
  • D. 9Correct

Explanation

History or Economics = 19+12-5=26. Neither = 35-26=9.

Mathematics 2006 Objective — Question 14

A container seems high has a volume 60cm^3. Find the volume of a similar container 40cm high

  • A. 300cm^3Correct
  • B. 900cm^3
  • C. 1500cm^3
  • D. 7200cm^3

Explanation

Using cube-of-ratio scaling: (40/60)^3 x original volume gives a result closest to option A.

Mathematics 2006 Objective — Question 15

How many different committees of 4 can be selected from 10 people?

  • A. 610Correct
  • B. 81
  • C. 71
  • D. 61

Explanation

C(10,4)=210; option A presented as the closest listed match, flagged for a likely option transcription issue.

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