2023 JSCE Mathematics Objective Past Questions Paper 1

What is the square of 30?

Find the square root of \(\frac{75}{300}\)

Express 61782 in standard form.

Express 0.0030752 to three significant figures

Simplify \( \frac{7}{13} \: \div \: \frac{3}{4}\)

Simplify \( \frac{2}{3} \: +\: \frac{1}{5} \)

Express 108 as a product of its prime factors

Convert \( \scriptsize 9 \frac{1}{7} \) to improper fraction

Divide 100 by the posistive difference between 65 and 75

Express 46_eight as denary

If 30% of a number is 900, find the number

Simplify \( \scriptsize 2 \frac {2}{5} \: \times \: 1\frac{1}{4} \)

Express 0.24 in the form \( \frac{p}{q} \) in its lowest terms

Find the H.C.F of 224 and 168

Determine the L.C.F of 12, 24 and 36.

Subtract 1101_two  from  11011_two

Find the product of 10₂ and 11₂

Find the reciprocal of 0.65, correct to three significant figures.

If 6 men can do a job in 4 days, how many days will it take 8 men to do the same job if they work at the same rate?

The ratio of boys to girls in a mixed school is 4:5. If there are 375 girls in the school, how many boys are there?

At what rate per annum will ₦1,600 give ₦400.00 as simple interest in 2 years?

A trader borrows ₦200,000 at a compound interest of 3% per annum. How much does he pay back after 2 years?

If 6 packets of cream costs ₦450,00, find the cost of 3 packets.

Find the amount of energy in units used by a customer, if his present and previous meter readings are 85,402 units and 74,012 units respectively.

Find the value of y in the diagram below

The area of a rhombus is 48 cm². If one of its diagonals is 8 cm, find the length of the other.

How many edges does a cube have?

How many vertices does a rectangluar pyramid have?

Which of the following gives the volume of a cylinder of height h and base radius r?

If the bearing of A from B is 240º, find the bearing of B from A.

What is the three-figure bearing of S45°W?

Which of the following angles can be bisected to get angle 22.5?

If one side of a square is 0.5 m, find the perimeter of the square

Find the volume of a cuboid whose length, breadth and height are 4 cm, 5 cm and 6 cm respectively.

Find the value of z in the figure below.

Calculate the value of y in the figure below.

The sum of the interior angles of a polygon of n-side is 180º. Find the value of n.

Determine the number of sides of a regular polygon whose interior angles are 90° each.

A goat is tied to a peg on the groud with a rope 7 m long. Find the maximum area of grass the goat can graize on.

\( \left( \scriptsize\ Take \: \pi = \normalsize \frac{22}{7} \right) \)

Below is a sports field with a semi-circular area at each end. Find the area of the field correct to one decimal place.

(Take π = \( \frac{22}{7} \) )

Use the similar triangles below to answer the question that follows

Calculate |ST|

Use the similar triangles below to answer the question that follows

Calculate |XV|

The construction below represents angle

Calculate the area of the shaded region in the figure below.

\( \left (\scriptsize Take \: \pi = \normalsize \frac{22}{7}  \right) \)

Two similar cylindrical tins are 6 cm and 9 cm high. If the smaller tin has diameter 8 cm, find diameter of the bigger one.

Use the figure below to answer the question that follows

Find |AB|

Use the figure below to answer the question that follows

Calculate |AD|

Use the figure below to answer the question that follows

Calculate |CD|

Which of the following angles cannot be constructed using a ruler and a pair of compasses only?

Find the area of the figure below

Find the radius of a circle whose circumference is 22 cm.

\( \left(\scriptsize Take \: \pi = \Large \normalsize \frac{22}{7} \right) \)

Calculate the area of a triangle whose base is 5 cm and height 2 cm

The angle of elevation of the top X of a vertical pole from a point P on the level ground is 45º. If the distance from P to the foot of the pole is 7 m, find the height of the pole.

Use the diagram below to answer the question that follows

Find the size of ∠ROQ

Use the diagram below to answer the question that follows

Calculate the sum of ∠AOP and ∠QOB

Find the area of the figure below

Find the value of θ in the diagram below

In the figure below, find the side marked x

The perimeter of a rectangular lawn is 32 cm. If the difference between its length and breadth is 2 cm, find the area of the lawn.

In the figure below, lines AB and CD are parallel

Which of the following is not true?