Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

1282

Find the equation of the tangent at the point (2, 0) to the curve y = x\(^2\) – 2x

  • A. y = 2x - 4
  • B. y = 2x + 4
  • C. y = 2x - 2
  • D. y = 2x + 2
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1283

Evaluate (2√3 – 4) (2√3 + 4) 

  • A. -4
  • B. -2
  • C. 2
  • D. 4
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1284

Express 495g as a percentage of 16.5kg

  • A. 3%
  • B. 3 \(\frac{1}{3}\)%
  • C. 15%
  • D. 30%
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1285

In the figure below, /MX/ = 8cm, /XN/ = 12cm, /NZ/ = 4cm and ∠ XMN = ∠ XZY. Calculate /YM/

 

  • A. 32cm
  • B. 24 cm
  • C. 16 cm
  • D. 12 cm
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1286

In how many ways can the letters LEADER be arranged?

  • A. 72
  • B. 144
  • C. 360
  • D. 720
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1287

Integrate the expression 6x\(^2\) – 2x + 1

  • A. 3x\(^3\) - 2x\(^2\) + x + c
  • B. 2x\(^3\) - x\(^2\) + x + c
  • C. 2x\(^3\) – 3x\(^2\) + c
  • D. x\(^3\) + x\(^2\) – x + c
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1288

A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

  • A. 52cm
  • B. 43cm
  • C. 40cm
  • D. 15cm
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1289

A man’s initial salary is N540.00 a month and increases after each period of six months by N36.00. Find his salary in the eight month of the third year.

  • A. N828.00
  • B. N756.00
  • C. N720.00
  • D. N684.00
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1290

Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12 

  • A. 5x + 7y = 20
  • B. 7x + 5y = 70
  • C. xy = 7
  • D. 15x + 17y = 90
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1291

Divide the L.C.M of 48, 64 and 80 by their H.C.F

  • A. 20
  • B. 30
  • C. 48
  • D. 60
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1292

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.

  • A. \(\frac{15}{17}\)
  • B. \(\frac{9}{17}\)
  • C. \(\frac{8}{15}\)
  • D. \(\frac{12}{17}\)
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1293

Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo’s share to Kehinde’s is 11:9. Later Kehinde sells \(\frac{2}{3}\) of her share to Taiwo for N720.00. Find the value of the store

  • A. N1,080.00
  • B. N2,400.00
  • C. N3,000.00
  • D. N3,600.00
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1294

\(\frac{0.00256 \times 0.0064}{0.025 \times 0.08}\)

  • A. 8.8 x 10\(^{-1}\)
  • B. 8.8 x 10\(^{-2}\)
  • C. 8.2 x 10\(^{-3}\)
  • D. 8.8 x 10\(^{3}\)
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1295

How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

  • A. 3
  • B. 4
  • C. 5
  • D. 6
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1296

In the diagram, GI is a tangent to the circle at H. If EF||GI, calculate the size of ∠EHF

  • A. 126°
  • B. 72°
  • C. 54°
  • D. 28°
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1297

A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?

  • A. 420Km
  • B. 405Km
  • C. 210Km
  • D. 200Km
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1298

A boy walks 800m in 20 minutes. Calculate his average speed in Km/H

  • A. 2.4
  • B. 4
  • C. 24
  • D. 6
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1299

The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.

Mark 0 1 2 3 4 5
Frequency 1 2 7 5 4 3

What is the probability of selecting a student from the group that scored 2 or 3

  • A. \(\frac{1}{11}\)
  • B. \(\frac{5}{22}\)
  • C. \(\frac{7}{22}\)
  • D. \(\frac{6}{11}\)
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1300

The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.

Mark 0 1 2 3 4 5
Frequency 1 2 7 5 4 3

 

What is the median mark?

  • A. 1
  • B. 2
  • C. 3
  • D. 4
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1301

A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

  • A. N16,200
  • B. N14,200
  • C. N12,000
  • D. N8,000
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1302

If the simple interest on a sum of money invested at 3% per annum for 2\(\frac{1}{2}\)  years is N123, find the principal.

  • A. N676.50
  • B. N820
  • C. N1,640
  • D. N4,920
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