The di Project
Creating open source math quizzes, tests and exam questions for high school students and teachers!
Algebraic Expressions
3x, 2 - x, 5b - 3a are examples of algebraic or variable expressions…
Basic math quizzes
Browse our 200 plus sets of quizzes on basic math covering wide range of topics…
Binary Operations
A binary operation is a mathematical rule used for combining two elements to produce another element…
Binomial Theorem
A binomial theorem is used for expanding binomial expressions….
Circle Theorem
Two parallel chords, with lengths 12cm and 16cm, lie on opposite sides of the centre of a circle of radius 10cm. Calculate the distance between the chords.
Cordinate Geometry
Find the equation of the circle with centre (3,7) and area 16 square units.
Correlation and Regression
The line of best fit in a scatter diagram passes through the points (2,-3) and (10,9) in the x-y plane. What will be the predicted value for y when x = 4?
Differentiaton
A rectangle has a perimeter of 24cm. Find its dimensions if its area is to be a maximum.
Geometric Construction
A straight line which divides one or more lines and angles into two equal parts is called a …
Indices and Logarithms
If the logarithm of a number to base 10 is 2.6025, find the number.
Inequalitlies and Linear Programming
Find the real values of x which satisfy 3 < 2x - 1 and 2x < 5.
Integration
The gradient of a curve at any point is 4x-1. If the point (-1,0) lies on it, find its equation.
Linear Equation and Inequalities
Find the truth set of the inequality 2t + 5 < 4t - 5.
Logical Reasoning
Which of the following statements is a proposition?
Matrices and Linear Transformation
Find the matrix of the linear transformation x1 = 3x+y and y1 = 2x-3y.
Mechanics
What would be the acceleration of a mass of 50kg when acted upon by a force of 80N?
Mensuration
The radius of a circle is 4 times that of another, what is the relationship between their areas?
Modular Arithmetic
If 23 + 14 = a(mod 5), what is the value of a?
Number Bases
Simplify 100110 + 11011.
Percentages
A man bought a car for 8.5 million cedis and later sold it for 9.5 million cedis. Find his percentage gain.
Permutation and Combination
In how many ways can three vacancies be filled out of five applicants?
Plane Geometry
The exterior angle of a regular pentagon is 70 degrees. Find the sum of its interior angles.
Polynomial Functions
Find the quadratic equation whose roots are 3 and -m.
Probability
Two dice are thrown once. What is the probability that the same number shows up on both dice?
Quadratic Functions and Graphs
If (x-6)(x+4) = 0, find the value of 5x+4 when x > 0.
Ratio and Rates
A motorist covers 3km in 4 minutes. What is his average speed in metres per second?
Rational Functions
Is 3 a rational number?
Real number system
Express 75882 to three significant figures.
Relations and Functions
Find the equation of the line which passes through the points (-2,7) and (2,-3).
Rigid Motion
The point P(-3,4) is reflected in the line x+2 = 0. Find the co-ordinates of the image of P.
Sequence and Series
What is the next number in the sequence 2,5,10,17,…?
Sets
In a class of 20 students, 16 play soccer, 12 play hockey and 2 do not play any of the two games. How many students play only hockey?
Simultaneous Linear Equations
Solve the equation 8x - 7y = -52 and x = 2y - 11.
Spearman’s rank correlation
Sample question: Guide: Review the concept of Spearman’s Rank Correlation in your textbook. Download the file below and practice problem solving.
Statistics
The mean of the numbers 15,21,17,26 18,29 is 21. Calculate the standard deviation of the numbers.
Surds
What is a surd?
Trigonometry
The length of a side of an equilateral triangle is 10cm. Find the height of the triangle.
Variation
Sample question: Guide: Review the concept of Variation in your textbook. Download the file below and practice problem solving. Don’t forget to do step 1
Vectors
In a translation in the plane, the image of P(5,2) is P1(7,3). Find the image of Q(-3,0) under the translation.
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