WAEC SSCE - General Mathematics - 2020 (Objective)

Given that \(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\) 

= x + y\(\sqrt{15}\), find the value of (x + y) 

Given that x is directly proportional to y and inversely proportional to Z, x = 15 when y = 10 and Z = 4, find the equation connecting x, y and z

In the diagram, O is the center of the circle. \(\overline{PQ}\) and \(\overline{RS}\)  are tangents to the circle. Find the value of (M + N).

The first term of a geometric progression (G.P) is 3 and the 5th term is 48. Find the common ratio. 

The interquartile range of distribution is 7. If the 25th percentile is 16, find the upper quartile.

An amount of N550,000.00 was realized when a principal, x was saved at 2% simple interest for 5 years. Find the value of x

Make m the subject of the relation k = \(\frac{m - y}{m + 1}\)

A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green.  If a ball is selected at random from the box, what is the probability that it is green? 

A fence 2.4 m tall, is 10m away from a tree of height 16m. Calculate the angle of elevation of the top of the tree from the top of the fence. 

The pie chart shows the population of men, women, and children in a city. If the population of the city is 1,800,000, how many men are in the city?

Each interior angle of a regular polygon is 168\(^o\). Find the number of sides of the polygon 

Find the equation of the line parallel to 2y = 3(x - 2) and passes through the point (2, 3) 

The length of an arc of a circle of radius 3.5 cm is  1\(\frac{19}{36}\) cm. Calculate, correct to the nearest degree , the angle substended by the centre of the circle. [Take \(\pi = \frac{22}{7}\)] 

If x = 3 and y = -1, evaluate 2(x\(^2\) - y\(^2\))

If (x + 2) is a factor of x\(^2\) +px - 10, find the value of P. 

The points on a linear graph are as shown in the table. Find the gradient (slope) of the line.

A solid cuboid has a length of 7 cm, a width of 5 cm, and a height of 4 cm. Calculate its total surface area.

Evaluate and correct to two decimal places, 75.0785 - 34.624 + 9.83 

The expression \(\frac{5x + 3}{6x (x + 1)}\) will be undefined when x equals 

Simplify; [(\(\frac{16}{9}\))\(^{\frac{-3}{2}}\) x 16\(^{\frac{-3}{2}}\)]\(^{\frac{1}{3}}\)

If 101\(_{\text{two}}\) + 12y = 3.3\(_{\text{five}}\). Find the value of y

Find the sum of the interior angle of a pentagon.

The diameter of a sphere is 12 cm. Calculate, correct of the nearest cm\(^3\), the volume of the sphere, [Take \(\pi = \frac{22}{7}\)]

The dimension of a rectangular base of a right pyramid is 9 cm by 5cm. If the volume of the pyramid is 105 cm\(^3\), how high is the pyramid? 

In the diagram, PQR is a circle with center O. If ∠OPQ = 48°, find the value of M.

If tan y is positive and sin y is negative, in which quadrant would y lie? 

Which of the following is not a sufficient condition for two triangles to be congruent?

In the diagram, O is the centre of the circle. If < NLM = 74\(^o\), < LMN = 39\(^o\) and < LOM = x, find the value of x. 

Express 1 + 2 log10\(^3\) in the form log10\(^9\) 

The graph of the equations y = 2x + 5 and y = 2x\(^2\) + x - 1 are shown. Use the information above to answer this question. 

If x = -2.5, what is the value of u on the curve?

In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°. Find the value of < NPQ 

Solve 3x - 2y = 10 and x + 3y = 7 simultaneously

Simplify; \(\frac{a}{b} - \frac{a}{a} - \frac{c}{b}\)

Two buses start from the same station at 9.00am and travel in opposite directions along the same straight road. The first bus travel at a speed of 72 km/h and the second at 48 km/h. At what time will they be 240km apart?

If  X = {x : x < 7} and Y = {y:y is a factor of 24} are subsets of \(\mu\) = {1, 2, 3...10} find X \(\cap\) Y.

The mean of the numbers 15, 21, 17, 26, 18, and 29 is 21. Calculate the standard deviation 

In the diagram, PQ // SR. Find the value of x

In the diagram, XYZ is an equilateral triangle of side 6cm and Y is the midpoint of \(\overline{XY}\). Find tan (< XZT) 

Fati buys milk at ₦x per tin sells each at a profit of ₦y. If she sells 10 tins of milk, how much does she receives from the sales?

A man is five times as old as his son. In four years' time, the product of their ages would be 340. If the son's age is y, express the product of their ages in terms of y.

Find the least value of x which satisfies the equation 4x = 7(mod 9)

A woman received a discount of 20% on a piece of cloth she purchased from a shop. If she paid $525.00, what was the original price?

In the diagram, PQ is a straight line. If m = \(\frac{1}{2}\) (x + y + z), find value of m.

In the diagram, \(\overline{PU}\)/\(\overline{SR}\),  \(\overline{PS}\)/\(\overline{TR}\),  \(\overline{QS}\)/\(\overline{UR}\),  \(\overline{UR}\) = 15cm, \(\overline{SR}\) = 8 cm, \(\overline{PS}\) = 10 cm and area of ?SUR = 24 cm\(^2\). Calculate the area of PTRS.

The graph of the equations y = 2x + 5 and y = 2x\(^2\) + x - 1 are shown. Use the information above to answer this question.

Find the point of intersection of the two graphs.

Solve \(\frac{1}{3}\)(5 - 3x) < \(\frac{2}{5}\)(3 - 7x)

A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green. If two balls are selected at random one after the other with replacement, what is the probability that both are red? 

The implication x \(\to\) y is equivalent to 

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