How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.
Find the gradient of the line passing through the points (12,−13)and(3,23)
25
52
27
72
Correct answer is A
Gradient(slope) m = y2−y1x2−x1
the points are (12,−13)and(3,23)
m = 23−(−13)3−12
= 23+133−12
= 1÷52 = 1×25
Therefore, m = 25
Find the value of m in the diagram above.
400
500
1300
1400
Correct answer is C
∠EHI = ∠DEH = 40° (alternate angles are equal)
∠BEH = 90° (given)
∠BED = 90° - 40° = 50°
∠BEF = 180° - 50° = 130° (sum of angles on a straight line is 180o)
∠BEF = ∠ABE = 130° (alternate angles are equal)
∴ m = 130°
The length of the diagonal of a square is 12 cm. Calculate the area of the square.
36cm2
48cm2
72cm2
18cm2
Correct answer is C
Let each side be l, then area = l2
Using Pythagoras theorem
l2+l2=122
2l2=144
divide both sides by 2
l2=72
Therefore, the Area of the square is 72cm2
Find the quadratic equation whose roots are 23and−34
12y2−y−6=0
12y2−y+6=0
12y2+y−6=0
y2+y−6=0
Correct answer is C
Let p = 23 and q = −34
using (y - p)(y - q) = 0
= ( y - 23)( y - (−34))=0
= (y−23)(y+34) = 0
y2+34y−23y−612=0
y2+112y−12 = 0
= multiply through by the l. c. m of 3 and 4 = 12
∴ the quadratic equation is 12y2+y−6=0