Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

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43

Which of the following is a measure of central tendency?

  • A. Standard deviation
  • B. Range
  • C. Variance
  • D. Mean
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44

If p * q = 2p + pq + q, find p  when ( p * 2) – (p * 1) = 40

  • A. 39
  • B. 40
  • C. 41
  • D. 42
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45

The ratio of men to women in a 20-member committee is 3:1. How many women must be added to the committee to make the ratio of men to women 3:2?

  • A. 2
  • B. 5
  • C. 7
  • D. 8
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46

Solve 16\(^x\) = 0.25

  • A. -\(\frac{1}{2}\)
  • B. \(\frac{1}{4}\)
  • C. -\(\frac{1}{4}\)
  • D. \(\frac{1}{2}\)
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47

Find the angle subtended by an arc 33cm long of a circle of diameter 28cm.

  • A. 105\(^0\)
  • B. 115\(^0\)
  • C. 120\(^0\)
  • D. 135\(^0\)
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48

y is inversely proportional to x and y = 4, when x = \(\frac{1}{2}\), find x when y = 10

  • A. 2
  • B. 10
  • C. \(\frac{1}{5}\)
  • D. \(\frac{1}{10}\)
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49

Find the amount if simple interest is paid yearly at 5% per annum for 3 years, on a principal of # 200,000.00

  • A. # 23, 000.00
  • B. # 30,000.00
  • C. # 300,000.00
  • D. # 230,000.00
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50

Evaluate the determinant of the matrix M = \(\begin{bmatrix}3 & 4 & 6\\2 & 1 & -1\\-1 & 3 & 5\end{bmatrix}\)

  • A. 20
  • B. 25
  • C. 30
  • D. 35
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51

It takes 12 men 8 hours a day to finish a piece of work in 4 days. In how many days will it take 4 men working 16 hours a day to complete the same piece of work?

  • A. 6 days
  • B. 8 days
  • C. 10 days
  • D. 12 days
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52

200 tickets were sold for a show. VIP tickets costs ₦1,200 and ₦700 for regular. Total amount realised from the sale of the tickets was ₦180,000. Find the number of VIP tickets sold and the the number of regular ticket sold.

  • A. VIP = 80, Regular = 100
  • B. VIP = 60, Regular = 120
  • C. VIP = 60, Regular = 100
  • D. VIP = 80, Regular = 120
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53

Give the number of significant figures of the population of a town which has approximately 5,020,700 people

  • A. 7 significant figures
  • B. 3 significant figures
  • C. 4 significant figures
  • D. 5 significant figures
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54

A circle has a radius of 13 cm with a chord 12 cm away from the centre of the circle. Calculate the length of the chord.

  • A. 16 cm
  • B. 8 cm
  • C. 5 cm
  • D. 10 cm
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55

Use the graph of sin (θ) above to estimate the value of θ when sin (θ) = -0.6 for \(0^o ≤ θ ≤ 360^o\)

  • A. θ = 223\(^o\), 305\(^o\)
  • B. θ = 210\(^o\), 330\(^o\)
  • C. θ = 185\(^o\), 345\(^o\)
  • D. θ = 218\(^o\), 323\(^o\)
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56

A ship sets sail from port A (86\(^o\)N, 56\(^o\)W) for port B (86\(^o\)N, 64\(^o\)W), which is close by. Find the distance the ship covered from port A to port B, correct to the nearest km.

[Take \(\pi\) = 3.142 and R = 6370 km]

  • A. 62 km
  • B. 97 km
  • C. 389 km
  • D. 931 km
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57

The perimeter of an isosceles right-angled triangle is 2 meters. Find the length of its longer side.

  • A. 2 - \(\sqrt2\)
  • B. -4 + 3\(\sqrt2\)
  • C. It cannot be determined
  • D. -2 + 2\(\sqrt2\) m
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58

A student pilot was required to fly to an airport and then return as part of his flight training. The average speed to the airport was 120 km/h, and the average speed returning was 150 km/h. If the total flight time was 3 hours, calculate the distance between the two airports.

  • A. 270 km
  • B. 200 km
  • C. 360 km
  • D. 450 km
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59

PQRS is a cyclic quadrilateral. Find \(x\) + \(y\)

  • A. 50
  • B. 60
  • C. 15
  • D. 0
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60

The area of a trapezium is 200 cm\(^2\). Its parallel sides are in the ratio 2 : 3 and the perpendicular distance between them is 16 cm. Find the length of each of the parallel sides.

  • A. 10 cm and 15 cm
  • B. 8 cm and 12 cm
  • C. 6 cm and 9 cm
  • D. 12 cm and 18 cm
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61

Study the given histogram above and answer the question that follows.

What is the total number of students that scored at most 50 marks?

  • A. 380
  • B. 340
  • C. 360
  • D. 240
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62

Find the volume of a cone which has a base radius of 5 cm and slant height of 13 cm.

  • A. \(300\pi\) cm\(^3\)
  • B. \(325\pi\) cm\(^3\)
  • C. \(\frac{325}{3}\pi\) cm\(^3\)
  • D. \(100\pi\) cm\(^3\)
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63

Which inequality describes the graph above?

  • A. \(4y + 5x ≥ 20\)
  • B. \(5y + 4x ≤ 20\)
  • C. \(4y + 5x ≤ 20\)
  • D. \(5y + 4x ≥ 20\)
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