Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

43

The angles of a quadrilateral are (x + 10)o, 2yo, 90o and (100 – y)o, Find y in terms of x

  • A. y = 160 + x
  • B. y = 100 + x
  • C. y = 160 - x
  • D. y = x - 100
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44

If the volume of a cube is 343cm3, find the length of its side

  • A. 3cm
  • B. 6cm
  • C. 7cm
  • D. 96cm
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45

PQR is a sector of a circle centre O, radius 4cm. If PQR = 30o, find, correct to 3 significant figures, the area of sector PQR. [Take \(\pi = \frac{22}{7}\)]

  • A. 4.19cm2
  • B. 8.38cm2
  • C. 10.5cm2
  • D. 20.9cm2
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46

Simplify: \(\frac{2x^2 – 5x – 12}{4x^2 – 9}\)

  • A. \(\frac{x + 4}{2x + 3}\)
  • B. \(\frac{x + 4}{2x - 3}\)
  • C. \(\frac{x - 4}{2x + 3}\)
  • D. \(\frac{x - 4}{2x - 3}\)
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47

If p = \(\frac{3}{5} \sqrt{\frac{q}{r}}\), express q in terms of p and r

  • A. \(\frac{9}{25} pr^2\)
  • B. \(\frac{9}{25} p^2r\)
  • C. \(\frac{25}{9} p^2r\)
  • D. \(\frac{25}{9} pr^2\)
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48

If 4y is 9 greater than the sum of y and 3x, by how much is y greater than x?

  • A. 3
  • B. 6
  • C. 9
  • D. 12
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49

Factorize 5y2 + 2ay – 3a2

  • A. (a - y)(5y - 3a)
  • B. (y - a)(5y - 3a)
  • C. (y - a)(5y + 3a)
  • D. (y + a)(5y - 3a)
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50

Given that x = 2 and y = -\(\frac{1}{4}\), evaluate \(\frac{x^2y – 2xy}{5}\)

  • A. zero
  • B. \(\frac{1}{5}\)
  • C. 1
  • D. 2
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51

Simplify 3\(\sqrt{27x^3y^9}\)

  • A. 9xy3
  • B. 3xy6
  • C. 3xy3
  • D. 9y3
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52

Simplify \(\frac{\frac{1}{x} + \frac{1}{y}}{x + y}\)

  • A. \(\frac{1}{x + y}\)
  • B. \(\frac{1}{xy}\)
  • C. x + y
  • D. xy
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53

If p-2g + 1 = g + 3p and p – 2 = 0, find g

  • A. -2
  • B. -1
  • C. 1
  • D. 2
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54

A trader bought 100 tubers at 5 for N350.00. She sold them in sets of 4 for N290.00. Find her gain percent.

  • A. 3.6%
  • B. 3.5%
  • C. 3.4%
  • D. 2.55
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55

P naira invested for 4 years invested for 4 years at r% simple interest per annum yields 0.36 p naira interest. Find the value of r

  • A. 1\(\frac{1}{9}\)
  • B. 1\(\frac{4}{9}\)
  • C. 9
  • D. 11
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56

Simplify \(\sqrt{50} + \frac{10}{\sqrt{2}}\)

  • A. 10
  • B. 10\(\sqrt{2}\)
  • C. 20
  • D. 20\(\sqrt{2}\)
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57

Evaluate \(\frac{(3.2)^2 – (4.8)^2}{3.2 + 4.8}\)

  • A. -0.08
  • B. -1.60
  • C. -10.24
  • D. -12.80
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58

If x% of 240 equals 12, find x

  • A. x = 1
  • B. x = 3
  • C. x = 5
  • D. x = 7
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