# WAEC GCE 2021 Mathematics Questions and Answers Latest Update

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**WAEC GCE 2021 Mathematics Questions and Answers Latest Update.**

**WAEC GCE 2021 Mathematics Questions: Mathematics WAEC GCE 2021 ****expo questions are out now on our website. In this article, you will also understand how WAEC GCE Mathematics questions are set, and you will also see past randomly repeated Mathematics questions for free. Stay focus and follow this guide.**

The *West African Examinations Council* (WAEC) is an examination board that conducts the West African Senior School Certificate Examination, for University and Jamb entry examinations in West African countries. In a year, over three million candidates registered for the *exams coordinated by WAEC*.

**Random Repeated WAEC GCE 2021 Mathematics Questions and Answers**

**Objective (OBJ) Questions:**

The *WAEC GCE Maths* questions below are questions to expect in the 2021 WAEC GCE examination.

- Given that y varies inversely as the square of x. if x=3 when y=100,
*find the equation*connecting x and y

(a) yx2=300

(b). yx2=900

(c) yx2=100x9100x9

(d) y = 900×2

- Find the value of x for which 32four = 22 base x

(a). three

(b) five

(c) Six

(d) seven

- Simplify: 2 whole number1/4 x 3 whole number1/2 ÷4 whole number3/8

(a). 5/9

(b) 1 whole number1/5

(c) 1 whole number 1/4

(d) 1 whole number 4/5

- There are 250 boys and 150 girls in a school. If 60% of the boys and 40% of
*the girls play football*. What percentage of the school plays football?

(a). 40.0%

(b) 42.2%

(c) 50.0%

(d) 52.5%

- If log10 (6 x−4) x-4) – log10 2=1, solve for xx

(a). 2

(b) 3

(c) 4

(d) 5

- If F = 9C/5+ 32, find C when F = 98.6

(a) 30

(b) 37

(c) 39

(d) 41

- If y ÷ 2 x = 4 and y−3x=−1, find the value of (x+y)

(a) 3

(b) 2

(c) 1

(d) -1

- If x:y:z=2:3:4, Evaluate 9x+3y/6z−2y

(a)1 whole number1/2

(b) 2

(c) 2 whole number1/2

(d) 3

- Simplify: 2−18m^2/1+3m

(a) 2(1+3m)

(b) 2(2+3m2)

(c) 2(1-3m)

(d) 2(1-3m2)

- A curve is such that when y = 0, x = -2 or x=3. Find the equation for the curve.

(a). y= x^2-5 x -6

(b). y= x^2+5x−6

(c) y= x2+x−6

(d) y=x^2- x-6

- The volume of a cylindrical tank, 10m high is 385m3. Find the diameter of the tank.
*Take π=22/7*

(a). 14 m

(b). 10 m

(c). 7 m

(d). 5 m

- The surface of a sphere is 7927cm27927cm2. Find correct to
*the nearest whole number*, its volume. Take [π=22/7]

(a)113 cm^3

(b) 131cm^3

(c) 311cm^3

(d) 414cm^3

- A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector. Take π=22/7

(a) 1700

(b) 1770

(c) 1820

(d) 1920

- In the diagram which of the following ratios is equal to ∣PN∣ / ∣PQ∣

(a) ∣PN∣/ ∣PR∣

(b). ∣PM∣/∣PQ∣

(c)∣PM∣/∣PR∣

(d) ∣PR/ ∣PQ∣

**OBJECTIVE (OBJ) ANSWERS:**

1-10: BDBBBDCDCC

11-20: AACCADA-AA

21-30: DDBDADADAD

31-40: AABAADCCDC

41-50: CCBDAABACD

**Section II – Essay Questions:**

**QUESTION 1**

In the diagram, L.PTQ = L.PSR = 900, /PQ/ = 10 ern, /PS/ = 14.4 cm and /TQ/ = 6 cm. Calculate the area of quadrilateral QRST.

(b) Two opposite sides of a square are each decreased by 10% while the other two are each increased by 15% to form a rectangle. Find the ratio of the area of the rectangle to that of the square.

**Math gce Observation:**

We advise that students should always remember to apply the concept of similar triangles correctly.

Furthermore, students should try and recognize the quadrilateral as a trapezium, this will help in finding its area.

Part (b) Candidates were expected to show that:

/PT/ = …./102 – 62 = 8 cm. m: =!J2L i.e ~ = 14.4.Hence, /SR/ = 10.8 cm.

/TO/ /SR/ 6 /SR/

Area of quadrilateral QRST = Yz (6 + 10.8) x 6.4 = 53.76 cm2. Don’t subtract the area of triangle PQT from triangle PRS.

This was also in order. In part (b) if the side of the square was y, then new breadth = 90 x y = 0.9y.

100

New length = 115 x Y = 1.15y. New area = 1.15y x 0.9y = 1.035/.

100

Hence, ratio = 1.035y² : y² = 1.035 : 1 or 207:200 .

In a class of 40 students, 18 passed Mathematics, 19 passed Accounts, 16 passed Economics, 5 passed Mathematics and Accounts only, 6 passed Mathematics only, 9 passed Accounts only, 2 Accounts and Economics only. If each student offered at least one of the subjects,

(a) How many students failed in all the subjects?

(b) Find the percentage number who failed in at least one of Economics and Mathematics.

(c) Calculate the probability that a student selected at random failed in Accounts.

**QUESTION 2**

(a) Copy and complete the table of values for the relation V = -X² + X + 2 for -3 ≤ x ≥ 3.

(b) Using scales of 2 cm to 1 unit on the x-axis and 2 cm to 2 units on the v-axis, draw a graph of the relation

y = -X² + X + 2.

(c) From the graph, find the:

(i)Minimum value of y;

(ii)Roots of the equation X² – x -2 = 0;

(iii)Gradient of the curve at x = -0.5.

**QUESTION 3**

(a) P varies directly as Q and inversely as the square of R. If P = 1 when Q = 8 and R = 2, find the value of Q when P = 3 and R = 5.

(b) An aeroplane flies from town A(20oN, 60oE) to town B(20oN, 20oE).

(i) If the journey takes 6 hours, calculate, correct to 3 significant figures, the average speed of the airplane.

(ii) If it then flies due north from town B to town C, 420 km away, calculates, correct to the nearest degree, the latitude of town C.

[Take radius of the earth = 6400 km and π = 3.142]

**QUESTION 4**

Using a ruler and a pair of compasses only,

(a) construct a rhombus PQRS of side 7 cm and ÐPQR = 60o;

(b) locate point X such that X lies on the locus of points equidistant from PQ and QR and also equidistant from Q and R;

(c) measure /XR/.

**QUESTION 5**

(a) In a class of 50 students, 30 offered History, 15 offered History, and Geography while 3 did not offer any of the two subjects.

(i) Represent the information on a Venn diagram.

(ii) Find the number of candidates that offered: History only; Geography only.

(b) A trader sold an article at a discount of 8% for N 828.00. If the article was initially marked to gain 25%, find the

(i) the cost price of the article;

(ii) discount allowed.

**QUESTION 6**

The area of a rectangular football field is 7200m2 while its perimeter is 360m. calculate the:

(a) dimensions of the field;

(b) cost of clearing the field at N6.50 per square meter, leaving a margin of 2m wide along the longer sides;

(c) percentage of the part not cleared.

**QUESTION 7**

Two fair dice are thrown.

M is the event described by “the sum of the scores is 10” and

N is the event described by “the difference between the scores is 3”.

(a) Write out the elements of M and N.

(b) Find the probability of M or N.

(c) Are M and N mutually exclusive? Give reasons.

**QUESTION 8**

(a) The total surface area of two spheres are in the ratio 9 : 49. If the radius of the smaller sphere is 12 cm, find, correct to the nearest cm3, the volume of the bigger sphere.

(b) A cyclist starts from a point X and rides 3 km due West to a point Y. At Y, he changes direction and rides 5 km North-West to a point Z.

(i) How far is he from the starting point, correct to the nearest km?

(ii) Find the bearing of Z from X, to the nearest degree.

DISCLAIMER! These are not real WAEC GCE Mathematics questions but likely repeated questions over the years to help candidates understand the nature of their examinations. Ensure to take note of every question provided on this page.

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