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O Level Mathematics (Syllabus A) Practice Questions

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Question 1 of 8Circle geometry

In the diagram, $AD$ is the diameter of the circle $ABCD$ . Chords $BC$ and $CD$ are equal and $C\hat{A}B = 33°$ . The side $CD$ is produced to $E$ . Calculate $B\hat{A}D$ , in degrees.

Paper 1Circle geometry
In the diagram, AD is the diameter of the circle ABCD. Chords BC and CD are equal and C\hat{A}B = 33°. The side CD is produced to E.…
Paper 1Angles
In the diagram, the lines ABC and PQR are parallel. The triangle AQB is equilateral. Given that Q\hat{R}B = 37°, calculate R\hat{B}C, in…
Paper 1Circle geometry
In the diagram, AD is the diameter of the circle ABCD. Chords BC and CD are equal and C\hat{A}B = 33°. The side CD is produced to E.…
Paper 1Angles
In the diagram, the lines ABC and PQR are parallel. The triangle AQB is equilateral. Given that Q\hat{R}B = 37°, calculate A\hat{Q}R, in…
Paper 1Number
Find the exact value of 5,4 \times 0,06.
Paper 1Number
Express 0,072 as a fraction in its lowest terms.
Paper 1Number
Find the exact value of 16,5 - 4,96.
Paper 1Percentages
Express 0,072 as a percentage.
Paper 1Ratio and proportion
Express 840 m as a fraction of 2,1 km, giving your answer in its simplest form.
Paper 1Standard form
Express 0,072 in standard form.
Paper 1Approximation
Express 0,008\,478 correct to two decimal places.
Paper 1Number
Find the value of 5,08 + 0,946.
Paper 1Standard form
Express 0,008\,478 in standard form.
Paper 1Number
Find the value of \sqrt{0,0081}.
Paper 1Approximation
Write down, correct to the nearest integer, \sqrt{402}.
Paper 1Directed numbers
Find the value of 5,6 - 7,5.
Paper 1Directed numbers
Given that l = -4, m = -3 and n = 5, find the value of lmn.
Paper 1Algebra
Simplify 2m(3m + n) - 5m^2.
Paper 2Number, percentages, interest
Evaluate 2 1/2 - 3/5 ÷ 2/3.
Paper 2Number, percentages, interest
Evaluate 5 1/3 × 3/4 - 1/2.
Paper 2Number, percentages, interest
Tendai is paid 12,40 an hour for a basic week of 40 hours, and 18,60 an hour for overtime beyond 40 hours. Calculate his total pay for a…
Paper 2Number, percentages, interest
Given that p = 3w² - xy, find the value of p when w=-2, x=6 and y=-3.
Paper 2Number, percentages, interest
Calculate the simple interest earned on $1200 invested at a rate of 15% per annum for 6 months.
Paper 2Number, percentages, interest
During a sale the price of a radio was reduced by 28% to $486. Calculate the original price of the radio.
Paper 2Algebra, factorising, indices
Factorise completely ax + x - 3a - 3.
Paper 2Algebra, factorising, equations
Factorise completely 3a-ab-2b+6.
Paper 2Algebra, factorising, indices
Factorise 2x² - 7x + 3.
Paper 2Algebra, factorising, equations
Factorise completely 3x²-147.
Paper 2Algebra, factorising, indices
Given that 2p = ∛(6q+5), find the value of p when q = 20.
Paper 2Algebra, factorising, equations
Solve the equation y²-6y+8=0.
Paper 2Statistics, probability
In a survey of pupils who went on a trip to Great Zimbabwe, Form 1 had 25 pupils, Form 2 had 16, Form 3 had 75 and Form 4 had 64. What was…
Paper 2Circle theorems
TB is a diameter of a circle, and chords TA, TC, TD are drawn such that angle ATB = angle BTC = angle CTD = 25°. Why must AB=BC=CD?
Paper 2Statistics, probability
For a trip with 25, 16, 75 and 64 pupils from Forms 1-4 respectively, find the mean number of pupils per form.
Paper 2Circle theorems
In a semicircle of radius 17 cm, two chords are drawn parallel to the diameter, of lengths 30 cm and 16 cm. Calculate the perpendicular…
Paper 2Statistics, probability
Of the pupils who went on a school trip, 16 were from Form 2 and 64 from Form 4, out of 1080 pupils at the whole school. Find, as a single…
Paper 2Vectors, geometrical construction
OP=(3,4), PQ=(12,a), OQ=(5b,-b). Find the value of b.

O Level Mathematics (Syllabus A) Practice Questions

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In the diagram, $AD$ is the diameter of the circle $ABCD$ . Chords $BC$ and $CD$ are equal and $C\hat{A}B = 33°$ . The side $CD$ is produced to $E$ . Calculate $B\hat{A}D$ , in degrees.

Evaluate 2 1/2 - 3/5 ÷ 2/3.

In the diagram, the lines $ABC$ and $PQR$ are parallel. The triangle $AQB$ is equilateral. Given that $Q\hat{R}B = 37°$ , calculate $R\hat{B}C$ , in degrees.

Evaluate 5 1/3 × 3/4 - 1/2.

In the diagram, $AD$ is the diameter of the circle $ABCD$ . Chords $BC$ and $CD$ are equal and $C\hat{A}B = 33°$ . The side $CD$ is produced to $E$ . Calculate $B\hat{C}D$ , in degrees.

Tendai is paid $12,40 an hour for a basic week of 40 hours, and$ 18,60 an hour for overtime beyond 40 hours. Calculate his total pay for a week in which he works 48 hours.

In the diagram, the lines $ABC$ and $PQR$ are parallel. The triangle $AQB$ is equilateral. Given that $Q\hat{R}B = 37°$ , calculate $A\hat{Q}R$ , in degrees.

Given that p = 3w² - xy, find the value of p when w=-2, x=6 and y=-3.

O Level Mathematics (Syllabus A) Practice Questions

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In the diagram, ADADAD is the diameter of the circle ABCDABCDABCD. Chords BCBCBC and CDCDCD are equal and CA^B=33°C\hat{A}B = 33°CA^B=33°. The side CDCDCD is produced to EEE. Calculate BA^DB\hat{A}DBA^D, in degrees.

Evaluate 2 1/2 - 3/5 ÷ 2/3.

In the diagram, the lines ABCABCABC and PQRPQRPQR are parallel. The triangle AQBAQBAQB is equilateral. Given that QR^B=37°Q\hat{R}B = 37°QR^B=37°, calculate RB^CR\hat{B}CRB^C, in degrees.

Evaluate 5 1/3 × 3/4 - 1/2.

In the diagram, ADADAD is the diameter of the circle ABCDABCDABCD. Chords BCBCBC and CDCDCD are equal and CA^B=33°C\hat{A}B = 33°CA^B=33°. The side CDCDCD is produced to EEE. Calculate BC^DB\hat{C}DBC^D, in degrees.

Tendai is paid 12,40anhourforabasicweekof40hours,and12,40 an hour for a basic week of 40 hours, and 12,40anhourforabasicweekof40hours,and18,60 an hour for overtime beyond 40 hours. Calculate his total pay for a week in which he works 48 hours.

In the diagram, the lines ABCABCABC and PQRPQRPQR are parallel. The triangle AQBAQBAQB is equilateral. Given that QR^B=37°Q\hat{R}B = 37°QR^B=37°, calculate AQ^RA\hat{Q}RAQ^​R, in degrees.

Given that p = 3w² - xy, find the value of p when w=-2, x=6 and y=-3.

In the diagram, $AD$ is the diameter of the circle $ABCD$ . Chords $BC$ and $CD$ are equal and $C\hat{A}B = 33°$ . The side $CD$ is produced to $E$ . Calculate $B\hat{A}D$ , in degrees.

In the diagram, the lines $ABC$ and $PQR$ are parallel. The triangle $AQB$ is equilateral. Given that $Q\hat{R}B = 37°$ , calculate $R\hat{B}C$ , in degrees.

In the diagram, $AD$ is the diameter of the circle $ABCD$ . Chords $BC$ and $CD$ are equal and $C\hat{A}B = 33°$ . The side $CD$ is produced to $E$ . Calculate $B\hat{C}D$ , in degrees.

Tendai is paid $12,40 an hour for a basic week of 40 hours, and$ 18,60 an hour for overtime beyond 40 hours. Calculate his total pay for a week in which he works 48 hours.

In the diagram, the lines $ABC$ and $PQR$ are parallel. The triangle $AQB$ is equilateral. Given that $Q\hat{R}B = 37°$ , calculate $A\hat{Q}R$ , in degrees.