WAEC SSCE - General Mathematics - 2021 (Objective)
Swali 1 Ripoti
In the diagram, line \(\overline{EC}\) is a diameter of the circle ABCDE.
If angle ABC equals 158°, find ?ADE
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Swali 3 Ripoti
A fair die is tossed twice what is the probability of get a sum of at least 10.
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Swali 4 Ripoti
\(\overline{XY}\) 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.
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Swali 5 Ripoti
The diagonal of a rhombus are 12cm and 5cm. calculate its perimeter
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Swali 6 Ripoti
What number should be subtracted from the sum of 2 \(\frac{1}{6}\) and 2\(\frac{7}{12}\) to give 3\(\frac{1}{4}\)?
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Swali 7 Ripoti
The height of an equilateral triangle of side is 10 3√ cm. calculate its perimeter.
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Swali 9 Ripoti
If log\(_{10}\) 2 = m and log\(_{10}\) 3 = n, find log\(_{10}\) 24 in terms of m and n.
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Swali 10 Ripoti
| Height(cm) | 160 | 161 | 162 | 163 | 164 | 165 |
| No. of players | 4 | 6 | 3 | 7 | 8 | 9 |
the table shows the height of 37 players of a basketball team calculates correct to one decimal place the mean height of the players.
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Swali 11 Ripoti
In △LMN, |LM| = 6cm, ∠LNM = x and sin x = sin x = \(\frac{3}{5}\).
Find the area of △LMN
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Swali 12 Ripoti
If 16 * 2\(^{(x + 1)}\) = 4\(^x\) * 8\(^{(1 - x)}\), find the value of x.
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Swali 13 Ripoti
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?
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Swali 14 Ripoti
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?
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Swali 15 Ripoti
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.
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Swali 16 Ripoti
if tanθ = \(frac{3}{4}\), 180° < θ < 270°, find the value of cosθ.
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Swali 17 Ripoti
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.
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Swali 18 Ripoti
The equation of a line is given as 3 x - 5y = 7. Find its gradient (slope)
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Swali 19 Ripoti
In the diagram O is the centre of the circle PQRS, ?PQR = 72° and OR is parallel to PS. Find ∠ OPS
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Swali 20 Ripoti
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?
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Swali 21 Ripoti
In the diagram, ?XYZ is produced to T. if |XY| = |ZY| and ?XYT = 40°, find ?XZT
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Swali 22 Ripoti
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?
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Swali 23 Ripoti
Which of the following is not an exterior angle of a regular polygon?
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Swali 25 Ripoti
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.
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Swali 26 Ripoti
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 =\(\frac{22}{7}\)
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Swali 27 Ripoti
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.
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Swali 28 Ripoti
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?
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Swali 29 Ripoti
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\(\frac{5}{6}\).
Swali 31 Ripoti
The distance d between two villages east more than 18 KM but not more than 23KM.
which of these inequalities represents the statements?
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Swali 33 Ripoti
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?
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Swali 35 Ripoti
correct 0.007985 to three significant figures.
Swali 36 Ripoti
A cone has a base radius of 8cm and height 11cm. calculate , correct to 2d.p, the curved surface area
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Swali 37 Ripoti
A man will be (x+10)years old in 8years time. If 2years ago he was 63 years., find the value of x
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A man will be (x+10) years old in 8years time.
As at today, he is x + 2 years of age.
The man was 63 years old 2 years ago, so he is 63+2=65 now.
8 years from now, he will be 65+8=73.
He will be (x+10) years old when he is 73. So
x+10=73
x=73-10=63
Swali 38 Ripoti
In the diagram, ∠ABC and ∠BCD are right angles, ∠BAD = t and ∠EDF = 70°. Find the value of t.
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Swali 40 Ripoti
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.
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Swali 45 Ripoti
If \(\frac{2}{x-3}\) - \(\frac{3}{x-2}\) = \(\frac{p}{(x-3)(x -2)}\), find p.
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Swali 47 Ripoti
For what value of x is \(\frac{4 - 2x}{x + 1}\) undefined.
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x + 1 = 0
x = -1
Therefore, the value of x that makes the fraction undefined is x = -1
Swali 48 Ripoti
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?
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Swali 49 Ripoti
if p = {-3<x<1} and Q = {-1<x<3}, where x is a real number, find P n Q.
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