Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

Home » Past Questions » Mathematics » Jamb » 2023
1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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

  • A. 50
  • B. 60
  • C. 15
  • D. 0
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10

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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11

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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12

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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13

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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14

Find the value of x in the diagram above

  • A. 10 units
  • B. 15 units
  • C. 5 units
  • D. 20 units
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15

Calculate the area of the composite figure above.

  • A. 6048 m\(^2\)
  • B. 3969 m\(^2\)
  • C. 4628 m\(^2\)
  • D. 5834 m\(^2\)
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16

Solve the logarithmic equation: \(log_2 (6 – x) = 3 – log_2 x\)

 

  • A. \(x\) = 4 or 2
  • B. \(x\) = -4 or -2
  • C. \(x\) = -4 or 2
  • D. \(x\) = 4 or -2
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17

Tickets for the school play were priced at ₦520.00 each for adults and ₦250.00 each for kids. How many kids’ tickets were sold if the total sales were ₦171,000.00 and there were 5 times as many adult tickets sold as children’s tickets?

  • A. 20
  • B. 300
  • C. 50
  • D. 60
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18

The line \(3y + 6x\) = 48 passes through the points A(-2, k) and B(4, 8). Find the value of k.

  • A. 16
  • B. 20
  • C. 8
  • D. -2
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19

Find the value of the angle marked x in the diagram above

 

  • A. 60\(^0\)
  • B. 45\(^0\)
  • C. 90\(^0\)
  • D. 30\(^0\)
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20

The second term of a geometric series is \(^{-2}/_3\) and its sum to infinity is \(^3/_2\). Find its common ratio.

  • A. \(^{-1}/_3\)
  • B. 2
  • C. \(^{4}/_3\)
  • D. \(^{2}/_9\)
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21

A rectangle has one side that is 6 cm shorter than the other. The area of the rectangle will increase by 68 cm\(^2\) if we add 2 cm to each side of the rectangle. Find the length of the shorter side.

  • A. 15 cm
  • B. 19 cm
  • C. 13 cm
  • D. 21 cm
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