What is the highest common factor (HCF) of 36 and 48?
Number
Question · Easy
Tear the corners off any triangle…
Short
What is the lowest common multiple (LCM) of 8 and 12?
Write 0.00056 in standard form.
Calculate 3/5 of 250.
Express 0.375 as a fraction in its lowest terms.
Stats test: find the median
Evaluate 2^5 × 2^3.
Evaluate (3^2)^3 ÷ 3^4.
Question · Medium
Work out (4.56 × 10^5) + (3.2 × 10^4) and give the answer in standard form.
Round 0.04682 to 3 significant figures.
Factor it
Simplify the ratio 12 : 18 : 30 to its lowest terms.
Chipo, Banda and Mwansa share ZMW 840 in the ratio 2 : 3 : 7. How much more does Mwansa receive than Chipo?
Question · Hard
Evaluate 8^(2/3).
What is 15% of 80?
Find x
Express 1/40 as a percentage.
Expand 3(x + 4).
Algebra
Simplify 5x + 3x − 2x.
Solve 2x + 5 = 17.
Factorise 6x + 9 completely.
Evaluate 3a − 2b when a = 4 and b = −1.
Expand and simplify (x + 5)(x − 3).
Factorise x^2 + 7x + 12.
Solve 3(x − 2) = 2x + 5.
Solve the inequality 2x − 1 > 7.
Make t the subject of the formula v = u + at.
Solve the simultaneous equations 2x + y = 10 and x − y = 2.
Factorise x^2 − 16.
Solve x^2 − 5x + 6 = 0.
Solve 1/(x − 1) + 1/(x + 1) = 4/3.
Use the quadratic formula to solve x^2 + 4x − 1 = 0. The solutions are
Simplify (x^2 − 9) / (x − 3) for x ≠ 3.
Simplify 4x^2 × 3x^3.
Write x^2 + 6x + 2 in the form (x + p)^2 + q.
Two adjacent angles stand on a straight line. One of them is 110°. What is the other angle?
Geometry
The sum of the interior angles of any triangle is
What is the exterior angle of a regular hexagon?
Two vertically opposite angles are formed by intersecting lines. One of them measures 47°. What is the other?
What is the interior angle of a regular octagon?
A pair of co-interior (allied) angles is formed between two parallel lines and a transversal. One of the angles is 65°. What is the other?
AB is a diameter of a circle and C is a point on the circumference. What is the size of angle ACB?
A right-angled triangle has shorter sides 5 cm and 12 cm. What is the length of the hypotenuse?
Two triangles are similar. A pair of corresponding sides is 6 cm and 9 cm. The smaller triangle has perimeter 20 cm. What is the perimeter of the larger triangle?
O is the centre of a circle. Angle AOB at the centre is 80°, and C is a point on the remaining circumference. What is angle ACB at the circumference?
ABCD is a cyclic quadrilateral. Angle ABC = 107°. What is angle ADC?
Two similar cones have heights 6 cm and 9 cm. The volume of the smaller cone is 160 cm³. What is the volume of the larger cone?
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