Further Mathematics is very easy to pass in one sitting if the right process is followed. One of the secrets to scoring high in WAEC Further Mathematics is to ensure that you practice with questions of previous years and any question that is difficult, read on the topic of the question emanates from.

Past questions are very important for any examination because it gives you a preview of what the examination would look like and some questions are even repeated in some years so it is advisable that you get past questions on the previous years for any subject and start practicing ahead. Getting the past question for Further Mathematics might be very tough as it is scarce however, we were able to get some questions that you can use to practice ahead of the examination.

The further mathematics examinations consist of objectives and theory but this article would provide some objective questions below:

**WAEC Further Mathematics Objectives Sample**

These are some of the few questions that one can practice ahead of the commencement of the WAEC examination and those who would write Further Mathematics must ensure that they practise intensively before the examination commences.

1.If P = {x:-2<x<5} and Q = {x:-5<x<2}, are subsets of μ = {x:-5 ≤x ≤5}, where x is a real number, find P ∪ Q

a. {x:-5<x<5} b. {x:-5 ≤x ≤5} c. {x:-5 ≤x ≤5} d. {x:-5 ≤x ≤5}

2.Express 8 – 3**√**6/2**√**3 + 3**√**2 in the form p**√**3 + q**√**2

a. 7**√**3 – 17/3**√**2 b. -17/3**√**3 + 7**√**2 c. 17/3**√**3 – 7**√**2 d. -7**√**3 – 17/3**√**2

3. A operation * is defined on the set, r of real numbers by p * q = p + q + 2pq. If the identity element of the operation is zero, find the value of p for which the operation has no inverse.

a. -1/2 b. 0 c. 2/3 d. 2

4. Consider the statements:

p: Musa is short

q: Musa is brilliant

Which of the following represents the statement “Musa is short but not brilliant”?

a. p v q b. p v ~q c. p ^ ~q d. p ^ q

5. If f(x) = 4/x – 1, x≠0 find f^(7)

a. -3/7 b. 0 c. 1/2 d. 4

6. If y = 4x -1, list the range of the domain {-2≤x≤2}, where x is an integer.

a. {-9,-1,2,3,4} b. {-9,-2,0,1,7} c. {-5,-4,-3,-2} d. {-9.-5.-1.3.7}

7. Factorize completely: x^2 + x^2y + 3x – 10y + 3xy -10

a. (x + 2)(x + 5)(y + 1) b. (x + 2)(x -5)(y + 1) c. (x -2)(x + 5)(y + 1) d. (x -2)(x-5)(y + 1)

8. If the solution set of x^2 + kx – 5 = 0 is {-1,5}, find the values of k

a. -6 b. -4 c. 4 d. 5

9. The remainder when x ^3 – 2x + m is divided by x- 1 is equal to the remainder when 2x^3 + x – m is divided by 2x + 1. Find the value of m

a. -7/8 b. -3/8 c. 1/8 d. 5/8

10. If (2t + 3s)(t-s) = 0, find t/s

a. 3/2 or 1 b. 3/2 or -1 c. -3/2 or -1 d. -3/2 or 1

**WAEC Further Mathematics Theory Sample Questions**

The theory section is also known as Paper 2 and her candidates should ensure that they provide working for each question they are answering because the marker would not only be looking at the answer but also at the steps followed to arrive at the answer.

1.Find the coordinates of the points which divided the line joining (7,-5) and (-2,7)externally in the ratio 3:2

b.Without using calculators or mathematical tables, evaluate 2/1-sqrt(2) – 2/2+sqrt(2) leaving the answer in the form p + qsqrt(n) where p,q,n are integers.

2.How many terms of the series -3 -1 +1 …… add up to 165?

3.Three forces 10N, 14N, and 16N act on a particle and keep it in equilibrium. Find the angle between the forces 10N and 16N.

4.A uniform beam, WX of length 90cm and weight 50N are suspended on a pivot, 35cm from W. It is kept in equilibrium by means of forces T and 20N applied at Y and Z respectively |WX| = 10cm and |XZ| = 10cm, find the value of T.

To practice more theory questions, visit the WAEC Further Mathematics learning section via the **link here** to get the 2008, 2011, 2010, 2013, 2014, and 2009 paper 2 questions.

Now that you have gotten these questions, ensure that you start practicing ahead for the next WAEC examination also, you can visit the WAEC official portal to get more past questions that you can make use of to practice also, there you would see the marking scheme which would in turn help guide you on how to answer questions.

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