## Master The BasicsSimple, straightforward practice; these questions are (mostly) context-free, calculation-based problems to develop fluency. I frequently use these as quick starters, in place of textbook exercises or as revision.
This page is simply an index of all the Master the Basics activities I currently have uploaded. They are optimised for whiteboard display and, in most cases, also have an answer page. You can use Ctrl-F (on a PC) to search the page for a specific topic, or try the Resources by Topic section. |

**Number: Properties and calculations - Place value and ordering****Multiply and divide by 10, 100, 1000**

*Mixed problems, including powers of 10*

Standard form (1)

*Working both ways, positive and zero powers of 10 only*

**Number: Properties and calculations - Rounding and estimation****Rounding to 10s, 100s and nearest integer**

*Mostly rounding to 10s and 100s*

**Rounding to decimal places**

*A mixture of rounding to 1, 2 and 3 decimal places*

**Number: Properties and calculations - Four operations****Short division**

*Division by a single digit, mostly without remainders*

**Adding and subtracting negative numbers**

*Working with positive and negative integers*

**Multiplying and dividing negative numbers**

*Working with positive and negative integers*

**Order of operations**

*A variety of problems using BIDMAS*

**Number - Properties and Calculations - Factors, Multiples and Primes****Factors and multiples**

*Mixture of questions on factors and multiples*

**HCF and LCM**

*Five questions, simple two-digit numbers*

**Product of primes**

*Ten questions, PPF of two-digit numbers*

**Number - Properties and Calculations - Powers and Roots****Square numbers**

*Calculate using squares and square roots*

**Cube numbers**

*Calculate using cubes and cube roots*

**Squares and cubes**

*A mixture of calculations with squares and cubes*

**Integer indices**

*Evaluate using integer bases and powers, no algebra*

**Number: Fractions, decimals and percentages - Fraction calculations****Mixed to improper**

*Convert mixed numbers to improper fractions using diagrams.*

**Mixed and improper conversions**

*Working both ways, converting mixed to improper and improper to mixed.*

**Adding fractions**

*Adding with like and unlike denominators, including simple mixed number calculations*

Multiplying decimals

__Number: Fractions, decimals and percentages - Fractions and decimals__Multiplying decimals

*Multiplying a decimal by an integer; multiplying two decimals*

**Dividing decimals**

*Dividing a decimal by a decimal*

**Four operations with decimals**

*A mixture of addition, subtraction, multiplication and division of decimals*

**Recurring decimals as fractions**

*Convert recurring decimals to their simplified fraction form*

**Number: Fractions, decimals and percentages - Percentages****FDP conversions**

*Common fraction, decimal and percentage equivalences*

**Algebra: Basic skills - Algebraic manipulation****Simple laws of indices**

*Multiplication and division laws using algebra*

**Expanding brackets**

*Expanding single and linear brackets; expanding two brackets and simplifying*

**Algebra: Basic skills - Quadratic expressions****Completing the square**

*Questions graded in difficulty from simple problems up to negative coefficients of x squared and problems involving factorising first.*

**Finding turning points by completing the square**

*Standard ten-problem exercise requiring pupils to apply CTS to find turning points of quadratics*

**Finding turning points using symmetry**

*Pupils find turning points using symmetry.*

**Algebra: Basic skills - Substitution and formulae****Substitution (positive integers)**

*Simple substitution with positive integers, including powers and brackets*

**Substitution tables (positive integers)**

*Substitution tables with powers and brackets*

**Substitution into area formulae**

*Finding missing lengths and areas using standard formulae for rectangles and triangles*

**Algebra: Equations and Inequalities - Linear equations and inequalities****One operation linear equations**

*Single operation with addition, subtraction, multiplication and division*

**Standard two-step linear equations**

*Double-operation with no division/fractions*

**Equations with brackets**

*Linear equations which require expansion of brackets to solve*

**Equations with unknowns both sides**

*Unknown appears on both sides; including some equations with brackets*

**Algebra: Equations and inequalities - Quadratic equations and inequalities**Solving by factorising with rearrangement

*Forms of quadratics that require some rearrangement first; includes problems with a>0*

**Algebra: Sequences, functions and graphs - Linear graphs****Gradient and y-intercept from equation of a line**

*Use y = mx + c to identify the gradient and y-intercept; includes simple rearrangement*

__Algebra: Sequences, functions and graphs - Sequences and functions__**Generating sequences**

*Finding 5th and 50th term in a sequence, generating sequences from the nth term rule*

**Finding the nth term of a linear sequence**

*Standard nth term problems*

**Proportion, ratio and rates of change - Proportion****Simple proportion calculations**

*Standard unit-pricing problems*

Proportion, ratio and rates of change - Ratio

**Splitting into a ratio**

*Dividing an amount into a two- or three-part ratio*

Changing between mm, cm and m

__Shape - Calculations and Measures - Units, Measurements and Drawings__Changing between mm, cm and m

*Conversion between common metric length measurements*

__Shape - Calculations and Measures - Pythagoras and Trigonometry__

**Writing trig ratios**

*Given a triangle with side measurements, write the three trig ratios as fractions*

**Shape: Calculations and measures - Area and volume****Area of rectangle, triangle, parallelogram**

*Standard area of 2D shape problems*

**Finding the circumference**

*Find circumference given radius or diameter*

**Finding the area of a circle**

*Find area given radius or diameter*

**Circumference and area of a circle**

*Finding both circumference and area using radius or diameter*