Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

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43

Simplify \(\frac{2-18m^2}{1+3m}\)

  • A. \(2(1+3m)\)
  • B. \(2(1+3m^2)\)
  • C. \(2(1-3m)\)
  • D. \(2(1-3m^2)\)
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44

Given that m = -3 and n = 2 find the value of \(\frac{3n^2 – 2m^3}{m}\)

  • A. -22
  • B. -14
  • C. 14
  • D. 22
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45

In the diagram, POR is a circle with center O. ∠QPR = 50°, ∠PQO = 30° and ∠ORP = m. Find m.

  • A. 20o
  • B. 25o
  • C. 30o
  • D. 50o
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46

Calculate the value of Y in the diagram

  • A. 18o
  • B. 42o
  • C. 48o
  • D. 132o
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47

In the diagram above, |XR| = |RY| = |YZ| and ∠XRY = ∠YRZ = 62o, Calculate ∠XYZ

  • A. 50o
  • B. 62o
  • C. 112o
  • D. 115o
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48

Which of the following figures have one line of symmetry only? I. Isosceles triangle II. Rhombus III. Kite

  • A. I and II only
  • B. II and III only
  • C. I and III only
  • D. I, II, and III
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49

The interior angle of a regular polygon is twice the exterior angle. How many sides has the polygon?

  • A. 5
  • B. 6
  • C. 8
  • D. 9
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50

A group of 11 people can speak either English or French or Both. Seven can speak English and six can speak French. What is the probability that a person chosen at random can speak both English and French?

  • A. \(\frac{2}{11}\)
  • B. \(\frac{4}{11}\)
  • C. \(\frac{5}{11}\)
  • D. \(\frac{11}{13}\)
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51

The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below

If he sends \(2\frac{1}{2}\) hours week on science, find the total number of hours he studies in a week

  • A. \(3\frac{1}{3}\) hours
  • B. 5 hours
  • C. 8 hours
  • D. 12 hours
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52

The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below
Find the value of K

  • A. 15o
  • B. 30o
  • C. 60o
  • D. 90o
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53

From a set \(A = [3, \sqrt{2}, 2\sqrt{3}, \sqrt{9}, \sqrt{7}]\), a number is selected at random. Find the probability that is a rational number

  • A. \(\frac{1}{5}\)
  • B. \(\frac{2}{5}\)
  • C. \(\frac{3}{5}\)
  • D. \(\frac{4}{5}\)
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54

If \(K\sqrt{28}+\sqrt{63}-\sqrt{7}=0\), find K.

  • A. -2
  • B. -1
  • C. 1
  • D. 2
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55

Simplify log\(_7\) 8 – log\(_7\) 2 + log\(_7\) 4.

  • A. 0
  • B. \(2log_7 2\)
  • C. \(3log_7 2\)
  • D. \(4log_7 2\)
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56

The side of a rhombus is 10cm long, correct to the nearest whole number. Between what limits should the perimeter P lie?

  • A. 39cm ≤ P ≤41cm
  • B. 38cm ≤ P < 42cm
  • C. 38.5 ≤ P ≤ 41.5cm
  • D. 38.5 ≤ P ≤ 40cm
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