2023 Paper 2 — CBT Mode | BECE Mathematics

Factorize mx – my – nx + ny

Factorize 3a²  + 7a  –  6

Simplify:

\( \frac{3}{5x} \: – \: \frac{2x \: – \:1}{x} \)

Solve:

\( \scriptsize 3 \: -\: \normalsize \frac{k}{3} \scriptsize = 1 \)

Solve:

2(x – 1) > 3

When 15 is added to \(\frac{1}{4}\) of a number, the result is 4 times the number. Find the number.

Find the value of p if:

2p = 15 – p

Solve the equations simultaneously:

2x + y = 4

x + y = 2

If \( \: \scriptsize x = \normalsize \frac{24y}{pr} \)

make y the subject of the relation.

Solve the equation:

\(  \frac{x\:+\:1}{5x\:-\:1} = \frac{1}{6} \)

Expand:

(x + 2)(2x – 1)

Use the table below to answer the question that follows for the relation y = 2x + 5

Find the value of A

Use the table below to answer the question that follows for the relation y = 2x + 5

Find the value of B × C + D

The figure represents which of the following inequalities?

Two-thirds of a certain number is greater than 6. Find the range of values of the number.

The sum of two numbers is 9 and their difference is 3. Find the numbers.

Solve the simultaneous equations;

3x + 2y = 6

2x + y = 4

Simplify (x² – 1) – (x + 2)²

Simplify:

\( \scriptsize 72pqr \: \div \: (-9q) \)

If 3 is divided by the sum of x and 1, the result equals 3 divided by 5. Find the value of x.

Solve the equation:

\( \frac{x\:+\:2}{3} \scriptsize \: + \: 2x \: -\: 5 = 5 \)

Ade’s age is 56 years more than his son. If the son’s age is w years, find the value of w when the sum of their ages is 76 years.

If x = 2, y = 6 and z = 4, evaluate

\( \frac{4y \: + \: 2z}{x \: +\: y} \)

Expand:

(2a – 3)(1 + a)

Solve the equation:

\(\frac{1}{p\:+\:2} = \frac{8}{3p\:+\:1} \)

Find the value of x if 3x + 5 = 4x – 7

Factorise 16a² – 9b²

Find the coefficient of xy in the expansion of (3x + 2y)(5x – 3y)

Express \( \frac{3}{y} \: -\: \frac{5}{y} \: + \: \scriptsize 2\) as a single fraction

Simplify:

\( \frac{x \: + \: 3}{3} \: + \: \frac{x \: – \: 3}{4} \)

If \( \frac{3}{8}\) of Olu’s monthly savings is ₦24,000.00. Find his monthly savings.

Find the coefficient of x in the expansion of (2x + 1)(1 – 2x)

Evaluate \( \frac{2x \: -\: 2}{2} \: +\: \frac{2x\:+\:2}{3} \) when x = 2

Solve for x if 2x – 5 > 7

Two-fifths of a certain number is greater than 8. Find the range of values of the number.

If a certain number y is tripled, the result is less than 18, Find the range of values of the number.

Solve the equation:

\( \frac{1}{z \: – \: 1} = \frac{5}{4z\:+\:1} \)

If x varies directly as y and x = 2 when y = 3, find the formula connecting x and y

A certain number of boys were to share 160 oranges. 5 boys left and the rest shared the oranges, each of them got 8 oranges. How many boys were present originally?

Three pens and five rulers cost ₦65.00 while three pens and a ruler cost ₦25.00. Find the cost of a pen and a ruler respectively.

Factorize 5a(a – b) – 2a(a – b)

Find the value of \( \frac{3c}{b} \scriptsize \: – \: a \)

If a = 8, b = 3 and c = 9

The branch of mathematics that deals with collection of data is known as _______.

In a class, the youngest student is 12 years, while the oldest is x years. If the age range is 7 years, find the value of x.

Find the mean of the following scores;

24, 18, 40, 22, 31

Find the median of the following set of numbers;

48, 58, 65, 43, 60, 53, 68, 57, 61, 47, 45

The data below shows the weight in kg of 20 students:

Find the modal weight

If 9 is the mean of the following set of numbers, 1, 2, x, 11, 13, 14, find the value of x.

The scores of students in a given test are as follows;

2, 3, 4, 5, 6, 3, 4, 5.

Find the median.

The pie chart below shows the distribution of 600 students into different houses in a school sports competition. Use the chart to answer the question that follows.

Calculate the angle of the sector for blue house.

The pie chart below shows the distribution of 600 students into different houses in a school sports competition. Use the chart to answer the question that follows.

Find the number of students in yellow house.

The pie chart below shows the distribution of 600 students into different houses in a school sports competition. Use the chart to answer the question that follows.

What fraction of students are there in white house?

Use the frequency table below to answer the question below.

Calculate the mode.

Use the frequency table below to answer the question below.

Find the median

The probability that it will rain in Minna today is \( \frac{1}{5} \). What is the probability that it will not rain.

What is the probability of getting a two when a fair die is thrown once?

A fiar dice is thrown once. Find the probability of getting an even number.

Use the information below to answer the question below.

A bag contains 20 red balls. A child picks out one of the balls at random.

Determine the probability of picking a red ball.

Use the information below to answer the question below.

A bag contains 20 red balls. A child picks out one of the balls at random.

Find the probability of picking a black ball.

In a pie chart, four fruits are represented namely: orange, mango, apple and banana, If the sectorial angles of orange, mango and apple are 120º, 90º and 100º respectively, find the sectorial angle of banana.