IGCSE Mathematics Mock

For Mocks

What is place value?

Place value tells you the value of each digit in a number based on its position.

How do you round a number to the nearest 10

100 or 1000?

What are factors?

Factors are numbers that divide exactly into another number without leaving a remainder.

What are multiples?

Multiples are the result of multiplying a number by whole numbers.

What are prime numbers?

Prime numbers have exactly two factors: 1 and itself.

What are square numbers?

Square numbers are the product of a number multiplied by itself.

What are cube numbers?

Cube numbers are the result of a number multiplied by itself twice (n × n × n).

How do you add integers?

Add them like normal numbers

How do you subtract integers?

Use number lines or change subtraction into adding a negative when helpful.

How do you multiply decimals?

Ignore the decimal point at first

How do you divide decimals?

Make the divisor a whole number by multiplying both numbers by 10

How do you handle negative numbers in operations?

Follow the sign rules: same signs make a positive

What is a power or index?

A power shows how many times a number is multiplied by itself.

What is a square root?

The square root is the number that when multiplied by itself gives the original number.

What is a cube root?

The cube root is the number that when cubed gives the original number.

What is BIDMAS?

It stands for Brackets

What is the highest common factor (HCF)?

The largest number that divides exactly into two or more numbers.

What is the lowest common multiple (LCM)?

The smallest multiple common to two or more numbers.

How do you estimate a calculation?

Round the numbers to make the math easier

What is standard form?

A number written as a × 10ⁿ

How do you simplify fractions?

Divide the numerator and denominator by their HCF.

What are equivalent fractions?

Fractions that have different numerators and denominators but equal value.

How do you convert a fraction to a decimal?

Divide the numerator by the denominator.

How do you convert a decimal to a fraction?

Write it as a fraction over 10

How do you convert a fraction or decimal to a percentage?

Multiply by 100 and add the % sign.

How do you add fractions?

Make denominators the same

How do you subtract fractions?

Find a common denominator

How do you multiply fractions?

Multiply the numerators together and the denominators together

How do you divide fractions?

Keep the first fraction

How do you find a percentage of an amount?

Multiply the amount by the percentage as a decimal or fraction.

How do you calculate percentage increase?

Find the increase

How do you calculate percentage decrease?

Find the decrease

What is reverse percentage?

Working backward to find the original amount before a percentage change.

What are algebraic terms?

Numbers

How do you simplify algebraic expressions?

Collect like terms by adding or subtracting coefficients.

How do you expand a single bracket?

Multiply the term outside the bracket by each term inside.

How do you expand double brackets?

Use FOIL (First

How do you factorise an expression?

Find the highest common factor and write the expression as a product.

What is substitution?

Replace variables with numbers and evaluate the expression.

How do you solve one-step equations?

Do the opposite operation to isolate the variable.

How do you solve two-step or multi-step equations?

Undo operations in reverse order to isolate the variable.

How do you form an equation from a word problem?

Translate the wording into algebra using variables and equal signs.

How do you solve inequalities?

Treat them like equations

What is a sequence?

A list of numbers that follow a certain pattern or rule.

What is the nth term of a sequence?

A formula that generates any term in the sequence using n.

How do you plot coordinates?

Use (x

What is a straight-line graph equation?

y = mx + c

What are real-life graphs?

Graphs that represent real-world situations like distance-time or cost graphs.

What is a frequency table?

A table that shows how often each value or category occurs.

What is a bar chart?

A diagram using bars of equal width to represent frequencies of categories.

What is a pictogram?

A chart using images or symbols to represent data.

What is a pie chart?

A circle divided into sectors showing proportions of categories.

What is the mode?

The most frequent value in a data set.

What is the median?

The middle value when the data is in order.

What is the mean?

Add all the values and divide by how many there are.

What is the range?

The difference between the largest and smallest values.

How do you find the average from a frequency table?

Multiply each value by its frequency

How do you find the median from a frequency table?

Add up the frequencies

How do you find the modal class?

The class interval with the highest frequency.

How do you interpret a pie chart?

Look at the angles or percentages to compare sizes of different categories.

How do you draw a pie chart?

Convert frequencies into angles using: angle = (frequency ÷ total) × 360°.

What is a line graph?

A graph that shows trends over time using points connected by straight lines.

What are 2D shapes?

Flat shapes with length and width only

What are regular polygons?

Polygons with all sides and angles equal.

What is a triangle?

A three-sided polygon whose interior angles add up to 180°.

How do you classify triangles?

By sides (scalene

What is a quadrilateral?

A four-sided polygon whose angles add to 360°.

How do you measure angles?

Use a protractor aligned with the baseline to read the degrees.

What is the angle sum of a triangle?

180°.

What is the angle sum of a quadrilateral?

360°.

What is the angle on a straight line?

180°.

What is the angle around a point?

360°.

What is the rule for vertically opposite angles?

They are equal when two lines cross.

What are alternate angles?

Angles on opposite sides of a transversal inside parallel lines — they are equal.

What are corresponding angles?

Angles in matching corners when parallel lines are crossed by a transversal — they are equal.

What are co-interior (allied) angles?

Angles on the same side of the transversal inside parallel lines — they add to 180°.

How do you find the perimeter of a rectangle?

Add all the side lengths: 2 × (length + width).

How do you find the area of a rectangle?

Length × width.

How do you find the area of a triangle?

(base × height) ÷ 2.

What is the area of a parallelogram?

Base × height (height must be perpendicular).

How do you find the area of compound shapes?

Split into simpler shapes

What is the surface area of a cuboid?

Find the area of all six faces and add them.

How do you find the volume of a cuboid?

Length × width × height.

What is a prism?

A 3D shape with identical cross-sections throughout its length.

How do you find the volume of a prism?

Area of cross-section × length.

What are metric units of length?

Millimetres (mm)

What are metric units of mass?

Grams (g)

What are metric units of volume?

Millilitres (ml)

How do you convert between metric units?

Multiply or divide by powers of 10.

What are bearings?

Angles measured clockwise from north

What is a construction in geometry?

Accurate drawing using only a compass and straightedge.

What is a locus?

A set of points that satisfy a rule or condition.

What is a translation?

A transformation that slides a shape without rotating or flipping it.

What is a rotation?

Turning a shape around a fixed point through a specific angle and direction.

What is a reflection?

Flipping a shape over a line of symmetry.

What is an enlargement?

Changing the size of a shape by a scale factor from a center of enlargement.

How do you simplify a ratio?

Divide all parts by their highest common factor.

How do you write a ratio in the form 1:n?

Divide all parts by the first value.

How do you share an amount in a ratio?

Add the parts

What is direct proportion?

When one value increases