Download Multiplying decimals - work out questions such as 2.5 x 4.06 without

Multiplying decimals - work out questions such as 2.5 x 4.06 without a
claculator
Dividing decimals - work out questions such as 3.65 ÷ 0.05 without a
calculator
Four rules of negatives - Add, subtract, multiply and divide negative
numbers without a calculator.
Listing strategies - make a note of the steps you will take in solving a
problem
Comparing fractions - order fractions with different denominators. Use
knowledge of equivalent fractions.
Adding and subtracting fractions - Add and subtract fractions (inc those
with different denominators). Use knowledge of equivalent fractions (or
some other method eg kiss box)
Finding a fraction of an amount - eg What is 5/6 of 72
Multiplying fractions - multiply fractions including mixed numbers
Dividing fractions - divide fractions including mixed numbers. Use keep,
switch, flip (or otherwise)
BODMAS/BIDMAS - use this to determine the order in which to solve a
problem with multiple operations eg 4² + 5 (3-2)
Reciprocals - define reciprocals and find the reciprocals of whole
numbers and fractions eg the reciprocal of 5/6 is 6/5
Calculator questions - use your calculator efficiently to work out problems
inc those with multiple operations and fractions
Product of primes - express a number as a product of its prime factors.
Use a factor tree. May need to write answer in index form
Highest Common Factor (HCF) - find the largest number that can divide
exactly into 2 or 3 given numbers. Use a factor tree (or otherwise)
Lowest Common Multiple (LCM) - find the smallest number that 2 or 3
given numbers can divide into. This number must be in these given
numbers' timese tables. Use a factor tree (or otherwise)
Squares, cubes and roots - use sqaures, cubes and square roots to
solve problems. Know squares up to 15 X 15 and cubes up to 10 X 10 x
10.
Working with indices - express numbers in index form eg 2 x 2 x 2 x 2 =
2⁴ and vice versa. Use this knowledge to solve problems
Standard form - change ordinary numbers to standard form and vice
versa eg 879 000 000 = 8.79 X 10⁸
Decimals and fraction - solve both calculator and non-calculator
problems involving fraction, decimals or both
Fractions, percentages, decimals - convert between fractions decimals
and percentages. Know that these 3 are interchangeable and use
appropriately
Percentages of an amount (Calc) - use calculator to work out a
percentage of an amount eg 20% of 65
Percentages of an amount (Non-Calc) - use an appropriate noncalculator method to work out percentages eg to find 20% work out 10%
then double it
Change to a percentage (Calc) - convert a fraction or a decimal to a
percentage using a calculator
Change to a percentage (Non-Calc) - convert a fraction or a decimal to a
percentage without a calculator
Rounding to significant figures - wirtie values to a specified number of
significant figures eg 23.976 to 2 sf = 24
Estimating answers - use knowledge of rounding to estimate answers
Using place value - use knowledge of place value to solve problems and
estimate answers
Expanding brackets - multiply out brackets eg 4(2x +5) = 8x + 20
Simple factorisation - Put the brackets back in eg 8x + 20 = 4(2x + 5)
Substitution - work out a question by replacing the values of the letters
with numbers given eg find 2x +y if x=2 and y=3
Straight line graphs - draw straight line graphs by completing a table of
values and plotting the (x,y) points on a set of axes. Read off the
gradient and y-intercept from the graph. Write equation in form y-=mx+c
given graph
The gradient of a line - read off gradient from a graph. Work out gradient
given 2 points on the line
Drawing quadratic graphs - draw quadratic graph by completing table of
values and plotting (x,y) points on the set of axes
Sketching functions - make a good sketch of a graph given information
such as the x- and/or y-intercept, the gradient or the turning point in case
of a quadratic
Solving equations using flowcharts - use inverse flow diagrams to solve 2step linear equations
Subject of a formula using flow chart - as with linear equations, find the
subject of the formula using an inverse flow diagram
Generate a sequence from nth term - use the nth term to find any term in
a sequence by substitution eg nth term = 3n - 2, then 1st term = 3(1) - 2
=1
Finding the nth term - find the nth term of a linear sequence eg 3, 5, 7,
9...nth term = 2n+1
Special sequences - explore special sequences such as square numbers
and triangle numbers
Exchanging money - changing from one currency to another eg euros to
pounds or pounds to $US
Sharing using ratio - sharing an amount into specified ratios eg Share
£32 in the ratio 5:3.
Ratios, fractions and graphs - solve problems involving fractions, ratios
and graphs
Increase/decrease by a percentage - work out percentage increase and
decrease using both multiplier and non-calculator methods
Percentage change - use knowledge of percentage increase and
decrease to calculate percentage change
Reverse percentage problems - find reverse percentage using the
multiplier method
Simple interest - use knowledge of percentage to calculate simple
interest
Metric conversions - changing between different metric measurements
eg change 250 cm to metres
Problems on coordinate axes - use knowledge of coordinate axes and
plotting (x,y) points to solve problems such as locating point on a
geometric shape
Surfaces area of a prism - calculate the surface area of a prism. Use
knowledge of nets of prisms
Volume of a cuboid - work out volume of cuboids
Circle definitions - define a circle. Identify and define parts of the circle
Area of a circle - use formula to work out area of circle where Area = pi r²
Circumference of a circle - work out circumferemce of circle where c= 2
pi r or pi d
Volume of a prism - work out volume of prism where volume = area of
cross section x length
Angles and parallel lines - identify the relationship between angles on
parallel line eg alternate angles, corresponding angles and co-interior
angles
Angles in a triangle - find missing angles in triangles using angles in a
trianlge add up to 180⁰
Prpoerties of special triangles - identify different types of triangles and
use their special properties to solve angle problems
Angle sum of polygons - find the sum of interior and exterior angles of
polygons. Use angle sum of triangle as a starting point.
Bearings - locate the bearings of point form another fixed point. Locate a
point given its bearing from another point
Experimental probabilities - use experiments to work out relative
probability eg if a bias die is rolled 600 times, what is the probability that
it will land on a 2.
Possibility spaces - use sample space diagrams to show events and
calculate probability
Venn diagrams - use Venn diagrams to show events and calculate
probability
Pie charts - interpret and draw pie charts
Scatter diagrams - identify different types of correlation, draw and
interpret scatter diagrams
Averages from a table - work out mean, mode and median from a
frequency table. For grouped frequency tables you must use the
midpoint of each class interval