What does the symbol ≈ mean?

The symbol ≈ means approximately equal to .

True or False? The equals sign (=) is used to show that two expressions are identical .

False. The equals sign (=) is used to show that two expressions are equal , while the identical sign (≡) is used to show that two expressions are identical .

What is an inequality ?

An inequality is a statement that compares two quantities in terms of their size using symbols such as >, <, ≥, or ≤.

True or False? The symbol ± is used to represent two distinct answers .

True. The symbol ± is used to represent two distinct (different) answers, often in quadratic equations.

What do the letters of BIDMAS/BODMAS represent?

The letters in BIDMAS/BODMAS represent: Brackets, Indices, Division, Multiplication, Addition, Subtraction. BIDMAS/BODMAS is an acronym that stands for the order of operations in mathematics.

True or False? Multiplying two negative numbers results in a negative value.

False. When multiplying two negative numbers, the result is a positive value .

When multiplying a positive and a negative , is the resultant value positive or negative ?

When multiplying a positive and a negative, the result is a negative value .

True or False? Subtracting a negative number is the same as adding a positive number.

True. Subtracting a negative number is the same as adding a positive number.

True or False? When finding the square of a negative number , the result is positive .

True. When finding a square of a negative number, the result is positive . This is because you are multiplying a negative by a negative , which results in a positive.

When finding the cube of a negative number, is the result positive or negative ?

When finding the cube of a negative number, you are multiplying a negative by a negative, by a negative so the final result is a negative .

Define the term currency .

A currency is a system of money in general use in a particular country or region.

True or False? Final answers in calculations with money should always be rounded to the nearest integer .

False. You should usually round answers involving money to two decimal places . However, you may sometimes be asked to round answers to the nearest integer .

True or False? Large monetary amounts , such as the cost of a car, are usually rounded to the nearest whole number , e.g. nearest dollar.

True. Large monetary amounts, such as the cost of a car, are usually rounded to the nearest whole number.

True or False? Monetary values given in more than two decimal places within a question should be rounded to two decimal places before doing any calculations .

False. Monetary values given in more than two decimal places should be used in the working . They should only be rounded for the final answer .

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Number Toolkit (Edexcel IGCSE Maths A) Flashcards

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What is an exponent?

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Cards in this collection (26)

What is an exponent?
An exponent is a power or order used in mathematical expressions to represent repeated multiplication of a base number.
E.g. In the expression $4^{5}$ , the 5 is the exponent.
What does the symbol ≈ mean?
The symbol ≈ means approximately equal to.
True or False?
The equals sign (=) is used to show that two expressions are identical.
False.
The equals sign (=) is used to show that two expressions are equal, while the identical sign (≡) is used to show that two expressions are identical.
What is an inequality?
An inequality is a statement that compares two quantities in terms of their size using symbols such as >, <, ≥, or ≤.
True or False?
The symbol ± is used to represent two distinct answers.
True.
The symbol ± is used to represent two distinct (different) answers, often in quadratic equations.
What does this symbol $\sqrt{}$ represent?
$\sqrt{}$ is the positive square root.
It represents the positive result when you find perform the opposite (inverse) operation of squaring a number.
$- \sqrt{}$ is the negative square root.
What do the letters of BIDMAS/BODMAS represent?
The letters in BIDMAS/BODMAS represent: Brackets, Indices, Division, Multiplication, Addition, Subtraction.
BIDMAS/BODMAS is an acronym that stands for the order of operations in mathematics.
True or False?
When using BIDMAS/BODMAS on a calculation that only involves addition and subtraction, the calculation should be performed from left to right.
E.g. $\begin{array}{rcl} 2 - 5 + 7 - 3 - 2 \end{array}$
True.
When using BIDMAS/BODMAS on a calculation that only involves addition and subtraction, the calculation should be performed from left to right.
E.g. $\begin{array}{rcl} 2 - 5 + 7 - 3 - 2 \end{array}$
$\begin{array}{rcl} = & - 3 + 7 - 3 - 2 \\ = & 4 - 3 - 2 \\ = & 1 - 2 \\ = & - 1 \end{array}$
True or False?
When using BIDMAS/BODMAS on a calculation that only involves multiplication and division, the divisions should always be performed first.
E.g. $3 \times 8 \div 2 \times 9$
False.
When using BIDMAS/BODMAS on a calculation that only involves multiplication and division, the calculation should be performed from left to right.
E.g. $3 \times 8 \div 2 \times 9$
$= 24 \div 2 \times 9 = 12 \times 9 = 108$
True or False?
Multiplying two negative numbers results in a negative value.
False.
When multiplying two negative numbers, the result is a positive value.
When multiplying a positive and a negative, is the resultant value positive or negative?
When multiplying a positive and a negative, the result is a negative value.
True or False?
Subtracting a negative number is the same as adding a positive number.
True.
Subtracting a negative number is the same as adding a positive number.
True or False?
When finding the square of a negative number, the result is positive.
True.
When finding a square of a negative number, the result is positive.
This is because you are multiplying a negative by a negative, which results in a positive.
When finding the cube of a negative number, is the result positive or negative?
When finding the cube of a negative number, you are multiplying a negative by a negative, by a negative so the final result is a negative.
True or False?
Subtracting a negative from a number will always result in a positive answer.
False.
Although subtracting a negative number is equivalent to adding a positive number, the final result will only be positive if the number you are adding it to is large enough.
For example, the calculation $- 3 - - 5 = 2$ but the calculation $- 7 - - 5 = - 2$ .
True or False?
${(- 3)}^{2} = - 3^{2}$
False.
${(- 3)}^{2} = - 3 \times - 3 = 9$ but $- 3^{2} = - (3 \times 3) = - 9$ .
It is always important to put brackets around negative values when you are substituting them into calculations!
Define the term currency.
A currency is a system of money in general use in a particular country or region.
True or False?
Final answers in calculations with money should always be rounded to the nearest integer.
False.
You should usually round answers involving money to two decimal places.
However, you may sometimes be asked to round answers to the nearest integer.
True or False?
Large monetary amounts, such as the cost of a car, are usually rounded to the nearest whole number, e.g. nearest dollar.
True.
Large monetary amounts, such as the cost of a car, are usually rounded to the nearest whole number.
True or False?
Monetary values given in more than two decimal places within a question should be rounded to two decimal places before doing any calculations.
False.
Monetary values given in more than two decimal places should be used in the working.
They should only be rounded for the final answer.
True or false?
$a \times b$ is the same as $b \times a$ .
True.
$a \times b$ is the same as $b \times a$ .
For example, $5 \times 0.05$ is the same as $0.05 \times 5$ .
It is okay to swap them round.
True or false?
$a - b$ is the same as $b - a$ .
False.
$a - b$ is not the same as $b - a$ .
For example, $10 - 2$ is not the same as $2 - 10$ .
The first gives $8$ but the second gives $- 8$ .
True or false?
If $6 \times 17 = 102$ then $17 = \frac{6}{102}$ .
False.
The correct answer is: if $6 \times 17 = 102$ then $17 = \frac{102}{6}$ .
That is because $a \times b = c$ means $b = \frac{c}{a}$ (the $c$ stays on the top of the fraction).
How would you use the fact that $9 \times 15 = 135$ to work out $900 \times 150 ?$
You could write $900 \times 150$ as $9 \times 10 \times 10 \times 15 \times 10$ .
Then bring the 9 and 15 together, giving $9 \times 15 \times 10 \times 10 \times 10$ .
You know that $9 \times 15 = 135$ so the number above becomes $135 \times 10 \times 10 \times 10$ .
Multiplying by ten each time adds an extra zero, so the answer is $135 000$ .
True or false?
If $3 \times 2 = 6$ then $0.3 \times 0.2 = 0.6$ .
False.
$0.3 \times 0.2$ is the same as $(3 \div 10) \times (2 \div 10)$ .
This is also the same as $(3 \times 2) \div (10 \times 10)$ .
Alternatively, you can use fractions to see this: $\frac{3}{10} \times \frac{2}{10} = \frac{6}{100}$ .
The correct answer is $0.3 \times 0.2 = 0.06$ .
What is the first line of working when simplifying $\frac{126}{1.4}$ ?
$\frac{126}{1.4} = \frac{1260}{14}$ .
You multiply the top and bottom of the fraction by 10 to remove the decimal.
These two fractions are identical, so you can continue working on the second one.

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Number Toolkit (Edexcel IGCSE Maths A) Flashcards

Cards in this collection (26)

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Numbers & the Number System

Number Toolkit

Set Notation & Venn Diagrams

Prime Factors, HCF & LCM

Powers, Roots & Standard Form

Fractions

Percentages

Compound Interest & Depreciation

Fractions, Decimals & Percentages

Rounding, Estimation & Bounds

Surds

Using a Calculator

Ratio Toolkit

Ratio Problem Solving

Exchange Rates & Best Buys

Direct & Inverse Proportion

Equations, Formulae & Identities

Algebra Toolkit

Algebraic Roots & Indices

Expanding Brackets

Factorising

Completing the Square

Algebraic Fractions

Rearranging Formulas

Algebraic Proof

Solving Linear Equations

Solving Quadratic Equations

Solving Inequalities

Simultaneous Equations

Forming & Solving Equations

Sequences, Functions & Graphs

Sequences

Functions

Coordinate Geometry

Linear Graphs y = mx + c

Graphs of Functions

Estimating Gradients

Real-Life Graphs

Graphing Inequalities

Transformations of Graphs

Differentiation

Geometry & Trigonometry

Standard & Compound Units

Angles in Polygons & Parallel Lines

Bearings, Scale Drawing & Constructions

Circle Theorems

Area & Perimeter

Circles, Arcs & Sectors

Volume & Surface Area

Congruence, Similarity & Geometrical Proof

Area & Volume of Similar Shapes

Right-Angled Triangles - Pythagoras & Trigonometry

Sine, Cosine Rule & Area of Triangles

3D Pythagoras & Trigonometry

Vectors & Transformation Geometry

Vectors

Transformations

Statistics & Probability

Statistics Toolkit

Histograms

Cumulative Frequency Diagrams

Probability Toolkit

Probability Diagrams - Venn & Tree Diagrams

Combined & Conditional Probability