WAEC SSCE - General Mathematics - 2021 (Objective)

If log\(_{10}\) 2 = m and log\(_{10}\) 3 = n, find log\(_{10}\) 24 in terms of m and n.

In the diagram O is the centre of the circle PQRS, ?PQR = 72° and OR is parallel to PS. Find ∠ OPS

make u the subject in x =\(\frac{2u-3}{3u + 2}\)

If 16 * 2\(^{(x + 1)}\) = 4\(^x\) * 8\(^{(1 - x)}\), find the value of x.

Which of the following is not an exterior angle of a regular polygon?

The diagonal of a rhombus are 12cm and 5cm. calculate its perimeter

The circumference of a circular track is 9km. A cyclist rides round it a number of times and stops after covering a distance of 302km. How far is the cyclist from the starting point?

500 tickets were sold for a concert tickets for adults and children were sold at $4.50 and $3.00  respectively if the total receipts for the concerts was $1987.50 how many tickets for adults were sold?

Factorize 6pq-3rs-3ps+6qr

The pie chart represents the distribution of fruits on display in the shop if there are 60 apples on display how many oranges are there? 

Simplify: (11\(_{two}\))\(^2\)

A trapezium of parellel sides 10cm and 21cm and height 8cm is inscribed in a circle of radius 7cm. calculate the area of the region not covered by the trapezium.

π =\(\frac{22}{7}\) 

if tanθ = \(frac{3}{4}\), 180° < θ < 270°, find the value of cosθ.

find the value of (x+y)

The distance d between two villages east more than 18 KM but not more than 23KM.

which of these inequalities represents the statements?

From a point T, a man moves 12km due west and then moves 12km due south to another point Q. Calculate the bearing of T from Q.

The equation of a line is given as 3 x - 5y = 7. Find its gradient (slope)

The sum of the interior angles of a regular polygon with k sides is (3k-10) right angles. Find the size of the exterior angle?

 A cyclist moved at a speed of Xkm/h for 2 hours. He then increased his speed by 2 km/h for the next 3 hours.

If the total distance covered is 36 km, calculate his initials speed.

In the diagram, PQRS is a circle. find the value of x.

Find, correct to two decimal, the mean of 1\(\frac{1}{2}\), 2\(\frac{2}{3}\), 3\(\frac{3}{4}\), 4\(\frac{4}{5}\), and 5\(\frac{5}{6}\).

 A trader paid import duty of 38 kobo in the naira on the cost of an engine. If a total of #22,800.00 was paid as import duty, calculate the cost of the engine.

Simplify 2√7- 14/√7+7/21

A cone has a base radius of 8cm and height 11cm. calculate , correct to 2d.p, the curved surface area

Find the 5th term of the sequence 2,5,10,17....?

the table shows the height of 37 players of a basketball team calculates correct to one decimal place the mean height of the players.

If 4x+2y=16 and 6x-2y=4 , find the value of (y-x).

Given that sin x = 3/5, 0 ≤ x ≤ 90, evaluate (tanx + 2cosx)

For what value of x is \(\frac{4 - 2x}{x + 1}\) undefined.

consider the statements:

P = All students offering Literature(L) also offer History(H);

Q = Students offering History(H) do not offer Geography(G).

Which of the Venn diagram correctly illustrate the two statements?

 In the diagram, ∠ABC and ∠BCD are right angles, ∠BAD = t and ∠EDF = 70°. Find the value of t.

A man will be (x+10)years old in 8years time. If 2years ago he was 63 years., find the value of x

What number should be subtracted from the sum of 2 \(\frac{1}{6}\) and 2\(\frac{7}{12}\) to give 3\(\frac{1}{4}\)?

The height of an equilateral triangle of side is 10 3√ cm. calculate its perimeter.

In the diagram, \(\overline{MP}\) is a tangent to the circle NQR, ∠NQR, ∠PNQ = 64 and | \(\overline{RQ}\) | = | \(\overline{RN}\) |. Find the angle market t. 

Find The quadratic Equation Whose Roots Are -2q And 5q. 

find the first quartile of 7,8,7,9,11,8,7,9,6 and 8.

Solve: 2\(^{√2x + 1}\) = 32

Mensah is 5 years old and joyce is thrice as old as mensah. In how many years will joyce be twice as old as Mensah?

if p = {-3<x<1} and Q = {-1<x<3}, where x is a real number, find P n Q.

A solid brass cube is melted and recast as a solid cone of height h and base radius r. If the height of the cube is h, find r in terms of h.

In the diagram, ?XYZ is produced to T. if |XY| = |ZY| and ?XYT = 40°, find ?XZT

A box contains 40 identical balls of which 10 are red and 12 are blue. if a ball is selected at random from the box what is the probability that it is neither red nor blue?

\(\overline{XY}\) is a line segments with the coordinates X (- 8,- 12) and Y(p,q). if the midpoint of \(\overline{XY}\)  is (-4,-2) find the coordinates of Y.

If  \(\frac{2}{x-3}\) - \(\frac{3}{x-2}\) = \(\frac{p}{(x-3)(x -2)}\), find p.

In the diagram, line \(\overline{EC}\) is a diameter of the circle ABCDE.

If angle ABC equals 158°, find ?ADE

correct 0.007985 to three significant figures.

A fair die is tossed twice what is the probability of get a sum of at least 10.

In △LMN, |LM| = 6cm, ∠LNM = x and sin x = sin x = \(\frac{3}{5}\).

Find the area of △LMN