2022 NECO Mathematics Past Questions

The demand for factors of production is said to be

1. A.A. competitive✓ Correct
2. B.B. complementary
3. C.C. composite
4. D.D. derived
5. E.E. joint

From the top of a storey-buliding, the angle of depression of a mango on a tree 20m away from the base of the storey building is 68°. if the mango is 4.5 m above the ground, what is the height of the storey building to the nearest metre?

1. A.55m
2. B.54m✓ Correct
3. C.50m
4. D.49m
5. E.45m

A body moves along a circular path with uniform angular speed of 0.6 rad s-1 and at a constant speed of 3.0 $ms^{-1}$. Calculate the acceleration of the body towards the centre of the circle.

1. A.0.2.$ms^{-2}$
2. B.1.8 $ms^{-2}$✓ Correct
3. C.5.0 $ms^{-2}$
4. D.5.4 $ms^{-2}$
5. E.25.0 $ms^{-2}$

The wave theory of light does not explain photoelectricity because

1. A.light waves carry little energy
2. B.particles cannot be emitted by waves
3. C.the frequency of light waves too high
4. D.there is a threshold wavelength for electron emission✓ Correct
5. E.the wavelength of Light waves is too short.

The gravitational field intensity at a location X, in space, is two-fifths of its value on the earth’s surface. If the weight of an object at X is 4.80N. what is its weight on the earth?

1. A.1.92N
2. B.2.88N
3. C.6.72N
4. D.8.00N✓ Correct
5. E.12.00N

A narrow, uniform glass tube, closed at one end, constains air which is sealed by a thread of mercury. The tube is placed first horizontally and then vertically with the open end at the top. Which of the following statements is correct?

1. A.The length of the entrapped air in the horizontal position is less than that in the vertical position
2. B.The length of the entrapped air in the vertical position is less than that in the horizontal position
3. C.The length of the mercury column becomes shorter in the horizontal position than in the vertical position✓ Correct
4. D.The length of the mercury column becomes shorter in the vertical position than in the horizontal position
5. E.The pressure of the entrapped air is atmospheric in both cases.

Use the data to answer this question A class of 40 set out to determine the population of lizards in a bound field measuring 200 metres by 100 metres using the capture-recapture method. In their first outing, the students captured a total of 360 lizards all of which were marked with indelible ink and then released back into the field. After a one week interval the students went back into the field and caught a total of 250 lizards out of which 150 bore the indelible ink mark. The population density of the lizards in the field is?

1. A.0.003 per m 2
2. B.0.03 per m 2✓ Correct
3. C.3 per m 2
4. D.4 per m 2
5. E.6 per m 2

Bauxite is the ore of

1. A.aluminium
2. B.calcium
3. C.Iron
4. D.sodium✓ Correct
5. E.magnesium

In savanna trees, thick corky bark is an adaption for

1. A.absorbing water✓ Correct
2. B.conserving water
3. C.enhancing transpiration
4. D.reducing transpiration
5. E.resistance to bush fire

An immersion heater is rated 1500W. How long does it take the heater to raise the temperature of 1 kg of water by 30°C? (Assume heat lost to the surrounding is negligible, Specific heat capacity of water 4200Jkg-1K-1)

1. A.84s
2. B.112s
3. C.130s
4. D.168s✓ Correct
5. E.280s