# 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?

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.