"Algebraic Processes" question number distribution across years

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Mathematics index on skoool nigeria

WAEC questions for "Mathematics :: Algebraic Processes"

Q1

Solve the inequality: 3(x+1) ≤ 5(x+2) + 15

A

x ≥ -14

B

x ≤ -14

C

x ≤ -11

D

x ≥ -11

E

**Answer:** D

Q2

The sum of 6 and one-thrid of x is one more than twice x. Find x

A

x = 7

B

x =5

C

x = 3

D

x =2

E

**Answer:** C

Q3

Given that T = {x : -2 < x ≤ 9}, wnere x is an integer. What is n (T)?

A

9

B

10

C

11

D

12

E

**Answer:** C

Q4

Factorise: x + y - ax - ay

A

(x-y)(1-a)

B

(x+y)(1+a)

C

(x+y)(1-a)

D

(x-y)(1+a)

E

**Answer:** C

Q5

Given that 5^{n+3 }/ 25^{2n-3} = 5°, find n.

A

n =1

B

n = 2

C

n = 3

D

n = 5

E

**Answer:** C

Q7

Given that P = {x: 1 ≤ x ≤ 9}, where x is an integer. What is n(T)?

A

x = 7

B

x = 5

C

x = 3

D

x =2

E

**Answer:** A

Q8

Simplify^{ 2}/_{2-x} + ^{2}/_{2-x}

A

^{4}/_{4-x²}

B

^{8}/_{4-x²}

C

^{4}x/_{4-x²}

D

^{8-4x}/_{4-x²}

E

**Answer:** B

Q9

If y = ^{y(2√x² + m)}/_{3N} , make x the subject of the formular

A

^{√9y²N² } /_{2}

B

^{√9y²N² + 2m} /_{2}

C

^{√9y²N² - 4m} /_{2}

D

^{√9y²N² + 2m} /_{2}

E

**Answer:** C

Q10

What id the equation of the line described in the table?

A

y = 2x

B

y = x + 1

C

y = x

D

y = ^{1}/_{2}x +1

E

**Answer:** D

Q11

The shaded portion in the diagram is the solution od

A

x + y ≤ 3

B

x + y < 3

C

x + y > 3

D

x + y ≥ 3

E

**Answer:** B

Q12

If the sum of the roots of the equation (x-p)(2x+1) = 0 is 1, find the value of p.

A

1^{1}/_{2}

B

^{1}/2

C

-^{1}/2

D

-1^{1}/2

E

**Answer:** A

Q13

If x² + kx + 16/9 is a perfect square, find the value of x.

A

8/3

B

7/3

C

5/3

D

2/3

E

**Answer:** A

Q14

If x kmh^{-1} = y ms^{-1}, then y = ?^{}

A

^{7}/_{18}x

B

^{11}/_{20}x

C

^{4}/_{15}x

D

^{5}/_{18}x

E

**Answer:** D

Q15

The mean of the numbers 2,5,2x and 7 is less than or equal to 5. Find the range of the value of x.

A

x≤3

B

x≥3

C

x<3

D

x>3

E

**Answer:** A

Q16

Solve the following simultaneous equation: 2x + 3y = 7, x + 5y = 0

A

x = 5, y = -1

B

x = ^{1}/_{5} , y = -1

C

x = -^{1}/_{5} , y = 1

D

x = -5, y = 1

E

**Answer:** A

Q17

If ^{3}/_{2x} - ^{2}/_{3x} = 4, solve for x

A

^{4}/_{5}

B

^{4}/_{13}

C

^{5}/_{24}

D

^{13}/_{24}

E

**Answer:** C

Q21

Factorise x² - 2x - 3xy completely.

A

(x - 2)(3x - y)

B

(x - 3y)(x -2)

C

(x - 3y)(x + 3y)

D

(3x + y)(x - 2)

E

**Answer:** B

Q23

If 85% of x is ₦3230, what is the value of x?

A

₦2745.50

B

₦3714.50

C

₦3800.00

D

₦4845.00

E

**Answer:** C

Q24

Solve: ^{2x + 1}/ _{6} - ^{3x - 1}/_{4} = 0

A

1

B

^{1}/_{5}

C

-^{1}/_{5}

D

-1

E

**Answer:** A

Q25

If c and k are the roots of 6 - x - x² = 0, find c + k

A

2

B

1

C

-1

D

-3

E

**Answer:** C

Q27

Find the quadratic equation whose roots are -^{1}/_{2} and 3.

A

2x² - 2x + 3 = 0

B

2x² - 2x - 3 = 0

C

2x² - 5x + 3 = 0

D

2x² - 5x - 3 = 0

E

**Answer:** D

Q31

Given that x = 2 and y = -^{1}/_{4} , evaluate^{ x²y - 2xy}/_{5}

A

0

B

^{1}/_{5}

C

1

D

2

E

**Answer:** A

Q32

Factorize 5y^{2} + 2ay - 3a^{2}

A

(a - y)(5y - 3a)

B

(y - a)(5y - 3a)

C

(y - a)(5y + 3a)

D

(y + a)(5y + 3a)

E

**Answer:** D

Q33

If 4y is 9 greater than the sum of y and 3x, by how much is y greater than x?

A

3

B

6

C

9

D

12

E

**Answer:** A

Q34

P = ^{3}/_{5} √^{q}/_{r} , express q in terms of p and r

A

^{9}/_{25}pr^{2}

B

^{9}/_{25}p^{2}r

C

^{25}/_{9}p^{2}r

D

^{25}/_{9}pr^{2}

E

**Answer:** C

Q35

Simplify: ^{2x²-5x-12}/_{4x²-9}

A

^{x+4}/_{2x+3}

B

^{x+4}/_{2x-3}

C

^{x-4}/_{2x+3}

D

^{x-4}/_{2x-3}

E

**Answer:** D

Q36

In the diagram, <QPR = 90°. If q^{2} = 25 - r^{2}, find the value of p.

A

3

B

4

C

5

D

6

E

**Answer:** C

Q37

If p = ^{1}/_{2} and ^{1}/_{p-1} = ^{2}/_{p+x} , find the value of x.

A

-2^{1}/_{2}

B

-1^{1}/_{2}

C

1^{1}/_{2}

D

2^{1}/_{2}

E

**Answer:** B

Q38

Find the quadratic equation whose roots are c and -c

A

x² + c² = 0

B

x² - c² = 0

C

x² + 2cx + c² = 0

D

x² - 2cx + c² = 0

E

**Answer:** B

Q39

Solve the inequality 1 - 2x < -^{1}/_{3}

A

x < ^{2}/_{3}

B

x < -^{2}/_{3}

C

x > ^{2}/_{3}

D

x > -^{2}/_{3}_{}

E

**Answer:** C

Q40

For what range of values of x is ^{1}/_{2}x + 2 ≥ 2x - 1?

A

x ≤ 2

B

x ≥ 2

C

x ≤ 3

D

x ≥ 3

E

**Answer:** A

Q41

Which of the following statements is true for the set P = {-3.2 ≤ x ≤ 5} where x is an interger?

A

Least value of x is -3.2

B

Least value of x is -3

C

Greatest value of x is 4.9

D

Greatest value of x is 5

E

**Answer:** B

Q43

₦140,000 is shared between Abu, Kayode and Uche. Abu has twice as much a s Kayode and Kayode has twice as much as Uche. What is Kayode's share?

A

₦80,000

B

₦40,000

C

₦20,000

D

₦10,000

E

**Answer:** B

Q44

I am x years old and my brother is 3 years older. How old was my brother last years?

A

(x -4)years

B

(x + 2)years

C

(3x-1)years

D

(3x+1)years

E

**Answer:** B

Q45

For what value of x is the expression ^{2x-1}/_{x+3 }**not** defined?

A

3

B

2

C

D

1/2

E

-3

**Answer:** D

Q46

If x = 3, y = 2 and z = 4, what is the value of 3x² - 2y + z?

A

17

B

27

C

35

D

71

E

**Answer:** B

Q47

Solve the simultaneous equations:x+y=2 and 3x-2y =1

A

x = 2 and y = 1

B

x = 1 and y = 1

C

x = 1 and y = 2

D

x = -1 and y = 1

E

**Answer:** B

Q49

If the ratio x:y = 3:5 and y:z = 4:7, find the ratio x:y:z

A

15:28:84

B

12:20:35

C

3:5:4

D

5:4:7

E

**Answer:** B

Q50

Which of the following is a factor of 2 - x - x²?

A

1-x

B

1+x

C

x-1

D

2-x

E

**Answer:** A

Q51

Make w the subject of the relation [(a+bc)/(wd+f)] = g

A

^{a+bc-fg}/_{dg}

B

^{a-bc+fg}/_{dg}

C

^{a+bc-f}/_{dg}

D

^{a+bc-dg}/_{dg}

E

**Answer:** A

Q52

Expand the expression (3a-xy)(3a+xy)

A

9a² - x²y²

B

9a² + x²y²

C

9a² - xy

D

9a² + x²y

E

**Answer:** A

Q54

For what range of value of x is 4x - 3(2x - 1) > 1?

A

x > -1

B

x > 1

C

x< 1

D

x < -1

E

**Answer:** C

Q55

Find the smallest value of such that 2² x 3³ x 5 x k is a perfect square

A

3

B

5

C

15

D

30

E

**Answer:** C

Q56

Simplify: ^{x-4}/_{4} - ^{x-}^{3}/_{6}

A

^{x-18}/_{12}

B

^{x-6}/_{12}

C

^{x-18}/_{24}

D

^{x-6}/_{24}

E

**Answer:** B

Q57

Given that y = 1 - ^{2x}/_{4x-3}, find the value of x for which y is undefined

A

3

B

3/4

C

-3/4

D

-3

E

**Answer:** B

Q58

The 30% of y is equal to x, what in terms of x, is 30% of 3y?

A

x/9

B

x/3

C

x

D

3x

E

**Answer:** D

Q59

What must be added to x² - 3x to make it a perfect square?

A

9/4

B

9/2

C

6

D

9

E

**Answer:** A

Q60

Given that (2x - 1)(x + 5) = 2x² - mx - 5, what is the value of m?

A

11

B

5

C

-9

D

-10

E

**Answer:** C