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Question 1

What are the types of numbers?

Answer 1

Integers, decimals, fractions, primes, factors, multiples

These are fundamental categories of numbers used in various mathematical calculations.

Question 2

How do you calculate percentage change?

Answer 2

Percentage change = (difference / original) × 100%

This formula helps in determining the relative change in a value.

Question 3

What is the formula for compound interest?

Answer 3

A = P(1 + r/n)^(nt)

A is the amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.

Question 4

What is the standard form of a number?

Answer 4

a × 10^n

Here, ‘a’ is a number greater than or equal to 1 and less than 10, and ‘n’ is an integer.

Question 5

Define expanding in algebra.

Answer 5

Expanding involves distributing a term across a set of brackets

This can be applied to both single and double brackets.

Question 6

What is factorising in algebra?

Answer 6

Factorising is breaking down an expression into its constituent factors

This includes finding common factors and dealing with quadratics.

Question 7

What are the types of equations you can solve in algebra?

Answer 7

Linear, quadratic, simultaneous

Each type of equation requires different methods for solution.

Question 8

What is the formula for the nth term of a linear sequence?

Answer 8

nth term = a + (n - 1)d

‘a’ is the first term and ‘d’ is the common difference.

Question 9

What is the formula of a linear graph?

Answer 9

y = mx + c

‘m’ is the slope and ‘c’ is the y-intercept.

Question 10

What is Pythagoras’ theorem?

Answer 10

a² + b² = c²

This theorem is used to find the length of the sides in a right-angled triangle.

Question 11

What are the three main types of angles related to straight lines and triangles?

Answer 11

Straight line = 180°, around a point = 360°, triangle = 180°

These are fundamental properties of angles in geometry.

Question 12

What is the sine rule for triangles?

Answer 12

a/sin(A) = b/sin(B)

This rule relates the sides and angles of non-right triangles.

Question 13

What is the formula for the area of a triangle?

Answer 13

Area = 1/2 × b × h

Here, ‘b’ is the base and ‘h’ is the height.

Question 14

What are the measures of central tendency?

Answer 14

Mean, Median, Mode

These are statistical measures that summarize data distributions.

Question 15

What is a histogram?

Answer 15

A graphical representation of the frequency distribution of numerical data

Frequency density = frequency ÷ class width.

Question 16

What is the formula for the volume of a cylinder?

Answer 16

Volume = πr²h

‘r’ is the radius and ‘h’ is the height.

Question 17

Fill in the blank: The circumference of a circle is calculated using _______.

Answer 17

2πr

‘r’ represents the radius of the circle.

Question 18

True or False: The mean can be estimated using frequency tables.

Answer 18

True

Frequency tables allow for a more efficient calculation of the mean in large datasets.

Question 19

What transformations are commonly studied in geometry?

Answer 19

Reflection, rotation, translation, enlargement

These transformations alter the position or size of geometric figures.