2024 WAEC SSCE Mathematics Past Questions

2024

In the diagram above, O is the centre of the circle. If | $\overline{OA}$ = 25 cm and |$\overline{AB}$ = 40 cm, find |$\overline{OH}$|

2024

A ladder 15 m long leans against a vertical pole, making an angle of 72º with the horizontal. Calculate, correct to one decimal place, the distance between the foot of the ladder and the pole.

2024

In the diagram above, $\overline{MN} || \overline{KL}$, $\overline{ML}$ and $\overline{KN}$ intersect at X. |$\overline{MN}$| = 12cm, |$\overline{MX}$| = 10cm and |$\overline{MN}$| = 9cm. If the area of \(…

2024

A piece of rod of length 44 m is cut to form a rectangular shape such that the ratio of the length to the breadth is 7: 4. Find the breath.

2024

Find the quadratic equation whose roots are $\frac{2}{3}$ and - 1

2024

Gifty, Justina, and Frank shared 60 oranges in the ratio 5: 3: 7 respectively. How many oranges did Justina receive?

2024

A number is added to both the numerator and the denominator of the fraction $\frac{1}{8}$ if the result is $\frac{1}{2}$, find the number.

2024

Consider the following statements: m = Edna is respectful n = Edna is brilliant, If m ⇒ n, which of the following is valid?

2024

Make R the subject of the relation V = πl(R$^2$ - r$^2$)

2024

A cylindrical metallic barrel of height 2.5m and radius 0.245 is closed at one end. Find, correct to one decimal place, the total surface area of the barrel (Take π = $\frac{22}{7}$)

2024

A variable W varies partly as M and Partly inversely as P. Which of the following correctly represents the relation with k$_1$ and k$_2$ constants?

2024

If 3x - 2y = - 5 and x + 2y = 9, find the value of $\frac{x - y}{x + y}$

2024

The interior angle of a regular polygon is 168º. Find the number of sides of the polygon.

2024

A trader gave a change of # 540.00 instead of # 570.00 to a customer. Caculate the percentage error.

2024

The population of a town increases by 3% every year. In the year 2000, the population was 3000. Find the population in the year 2003.

2024

If log$_3^{2x - 1}$ = 5, find the value of x

2024

Find the sum for which $ 1,250.00 will amount to $ 2,031.25 at 12.5% per annum simple interest.

2024

If (3 - 4$\sqrt{2}$)(1 + 3$\sqrt{2}$) = a + b$\sqrt{2}$, find the value of b

2024

Simplify: (2p - q)$^2$ - (p + q)$^2$

2024

Express in index form: log$_a^x$ + log$_a^y$ = 3

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2024 WAEC SSCE Mathematics Past Questions

In the diagram above, O is the centre of the circle. If | \(\overline{OA}\) = 25 cm and |\(\overline{AB}\) = 40 cm, find |\(\overline{OH}\)|

A ladder 15 m long leans against a vertical pole, making an angle of 72º with the horizontal. Calculate, correct to one decimal place, the distance between the foot of the ladder and the pole.

In the diagram above, \(\overline{MN} || \overline{KL}\), \(\overline{ML}\) and \(\overline{KN}\) intersect at X. |\(\overline{MN}\)| = 12cm, |\(\overline{MX}\)| = 10cm and |\(\overline{MN}\)| = 9cm. If the area of \(…

A piece of rod of length 44 m is cut to form a rectangular shape such that the ratio of the length to the breadth is 7: 4. Find the breath.

Find the quadratic equation whose roots are \(\frac{2}{3}\) and - 1

Gifty, Justina, and Frank shared 60 oranges in the ratio 5: 3: 7 respectively. How many oranges did Justina receive?

A number is added to both the numerator and the denominator of the fraction \(\frac{1}{8}\) if the result is \(\frac{1}{2}\), find the number.

Consider the following statements: m = Edna is respectful n = Edna is brilliant, If m ⇒ n, which of the following is valid?

Make R the subject of the relation V = πl(R\(^2\) - r\(^2\))

A cylindrical metallic barrel of height 2.5m and radius 0.245 is closed at one end. Find, correct to one decimal place, the total surface area of the barrel (Take π = \(\frac{22}{7}\))

A variable W varies partly as M and Partly inversely as P. Which of the following correctly represents the relation with k\(_1\) and k\(_2\) constants?

If 3x - 2y = - 5 and x + 2y = 9, find the value of \(\frac{x - y}{x + y}\)

The interior angle of a regular polygon is 168º. Find the number of sides of the polygon.

A trader gave a change of # 540.00 instead of # 570.00 to a customer. Caculate the percentage error.

The population of a town increases by 3% every year. In the year 2000, the population was 3000. Find the population in the year 2003.

If log\(_3^{2x - 1}\) = 5, find the value of x

Find the sum for which $ 1,250.00 will amount to $ 2,031.25 at 12.5% per annum simple interest.

If (3 - 4\(\sqrt{2}\))(1 + 3\(\sqrt{2}\)) = a + b\(\sqrt{2}\), find the value of b

Simplify: (2p - q)\(^2\) - (p + q)\(^2\)

Express in index form: log\(_a^x\) + log\(_a^y\) = 3