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Maths1
Spring Term Assessment Year 7
| Question | Answer |
|---|---|
| Area of a triangle | A= 1/2 b x h or b x h / 2 |
| Area of a parallelogram | A = b x h |
| Area of a trapezoid | A = (a + b / 2) x h |
| Volume of a trapezium | V = A x l |
| Trapezoid | A quadrilateral with one pair of parallel sides |
| Parallelogram | Four sided shape with opposite sides parallel |
| Decimal multiplication | Take the decimal away, do the multiplication and replace the same number of decimal places that were in the question (the answer will be smaller if less than 1) |
| Decimal division | When dividing a decimal by a decimal, write down as a fraction, multiply by 10 to find equivalent fraction with no decimals involved and simplify |
| Estimation | round all number to one s.f |
| Significant figure | Non-zero digits are always significant. Any zeros between two significant digits are significant. A final zero or trailing zeros in the decimal portion ONLY are significant. |
| Area | The surface covered by a shape and measured in square units |
| Area of square and rectangle | A = length x width |
| Volumes of cubes and cuboids | V = lwh V = length x width x height |
| Volume of a prism | Find area of cross section and multiply by height of prism V = A x H |
| Prism | Solid that has same shape all the way through - that is, it has a constant cross-sectional area |
| Cartesian Graph | Named after Rene Des Cartes |
| Graph | An infinite amount of co-ordinate pairs |
| Divisibility test for 3 | Digital root of the sum of numbers is divisible by 3 |
| Divisibility test for 4 | Last two digits of number are divisible by 4 |
| Divisibility test for 6 | Tests for both 2 and 3 BOTH work |
| Divisibility test for 8 | Last three digits are divisible by 8 |
| Divisibility test for 9 | Digital root of the sum of numbers is divisible by 9 |
| Factor | A number that divides another number evenly - write in pairs |
| HCF | Highest Common Factor - Highest factor common between two numbers |
| Multiple | The numbers in a times table |
| LCM | Lowest Common Multiple - lowest number common to two numbers that features in both times tables eg 3 and 5 = 15 6 and 8 = 24 |
| Prime number | A number with only 2 factors (1 is not a prime) To see if a number is prime, check all the prime numbers up to the square root |
| Prime Factor Decomposition | Writing a number as a product of it's prime numbers as a factorisation tree. Break the number down into separate prime numebsr and write it using indices |
| Finding HCF and LCM of larger numbers using prime factor decomposition | Use a venn diagram. Write all common primes in intersection (singular - so if there are 2 3's, you write one 3 in the intersection), the rest of the non common multiples stay on their own circles. Multiply all numbers for LCM and central numbers for HCF |
| Probability terms | Impossible Unlikely Evens Likely Certain |
| Probability | The chance that an event will happen. Scale from 0 - 1, 1 being certain, 0 being impossible. |
| mn outcomes | A list with m options combined with a list of n options will have mn possibilities |
| Length measurement conversion | 1 km = 1,000 m 1 m = 100 cm 1 cm = 10 mm 1 m = 1,000 mm |
| How many cm^2 are there is 1m^2 | There are 100 cm on one side and 100 cm on the other side so 100 x 100 is 10,000. There are 10,000 cm^2 in 1 m^2 |
| How many cm^3 are there in 1m^3? | Volume of a cube is l x w x h so 100 x 100 x 100 so there are 1,000,000cm ^ 3 |
| Metric units for voume | 1 m3 = 1,000,000 cm3 1 cm3 = 1,000 mm3 1 l (litre) = 1,000 ml = 1000 cm3 |
| 1km = how many metres | 1000m |
| 1km = how many centimetres | 1000 x 100 = 100,000cm |
| Surface area | the area of all faces of a shape added together. Make sure to count all sides. |
| Finding perimeter from area | If area is l x h work out what the area is divided by one of these sides to give the other value and add them together, remembering all sides. |
| Midpoint of a line | M = (x1 + x2) / 2 , (y1 + y2) / 2 |
| To plot a graph with x and y co-ordinates (x and y equation) | PLot a value table first, write in values asked for (or random values) and work out equation to find out the x and y co-ordinates |
| shape of y= | horizontal line graph |
| Shape of x= | Vertical line graph |
| ascending order | values grow larger |
| descending order | values get smaller |
| How many grammes in a tonne | 1,000,000 grammes in a tonne |
| How many kg in a tonne | 1000 kg in a tonne |
| Two lines that meet at right angles | perpendicular |
| repeating pattern with no gaps | tesselation |
| two shapes identical in every way except for size | similar |
| three quadrilaterals whose diagonals meet at 90 degrees | square kite rhombus |
| Three quadrilaterals with rotational symmetry of order 2 | rectangle rhombus parallelogram |
| degrees in a circle | 360 |
| Reflex angle | More than 180 but less than 360 (large angle all the way around a circle point |
| Acute angle | less than 90 degrees |
| Obtuse angle | Greater than 90 degrees but less than 180 degrees |
| Mode, Median, Mean | Mode - the value that appears most often (remember by Most) Median - the middle value when all numbers are lined up from smallest to largest (remember by Medium) Mean - the total of all values, divided by the number of values. |
| Rotational symmetry | A shape has Rotational Symmetry when it still looks the same after some rotation (of less than one full turn). How many times it matches as we go once around is called the Order. RS of Order 1 is not really possible, this shape wouldn't be symmetrical) |
| Turning a decimal into a fraction | place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction. |
| Turning a fraction into a decimal | use long or normal bus stop division - add a decimal point or and extra 0's to the small number being divided - 1/7 would become 1.000/7 so there are extra numbers to use for remainders - answer is 0.142...etc |
Created by:
Frankiek
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