Passport to grade C

Add, subtract, multiply and divide integers 382+674 491-378 23x74 55212

Add, subtract, multiply and divide integers 382+674=1056 491-378=113 23x74=1702 55212=46

Round to significant figures and estimate answers 356 213 4587 35 684 12.7

Round to significant figures and estimate answers 356 400 check your answers 213 200 4587 5000 35 40 684 700 12.7 10

Round to significant figures and estimate answers 356 400 check your answers 213 200 4587 5000 35 40 684 700 12.7 10 Now use your rounded values to estimate answers. Step 1 round to 1 sig fig, step 2 calculate with your rounded values. Eg 1) 4.6x1.4= 2) 12.3 – 3.5 3) (9.8+4.5)2.88 2.9x3.01= 3x3=9

Round to significant figures and estimate answers 356 400 check your answers 213 200 4587 5000 35 40 684 700 12.7 10 Now use your rounded values to estimate answers. Step 1 round to 1 sig fig, step 2 calculate with your rounded values. Eg 1) 4.6x1.4= 5 2) 12.3 – 3.5=6 3) (9.8+4.5)2.88= 5 2.9x3.01= 3x3=9

Find HCF and LCM of 2 numbers Highest Common Factor Lowest Common Multiple

Find HCF and LCM of 2 numbers Highest Common Factor Lowest Common Multiple Test question (a) Write each of the numbers 36 and 80 as a product of prime factors. 36 = ........................................... 80 = ........................................... [3] (b)(i)Find the least common multiple (LCM) of 36 and 80. ........................................... [2] (ii)Find the highest common factor (HCF) of 36 and 80. ........................................... [1]

Find HCF and LCM of 2 numbers Highest Common Factor Lowest Common Multiple Test question (a) Write each of the numbers 36 and 80 as a product of prime factors. 36 = 2x2x3x3.............................. 80 = 2x2x2x2x5........................... [3] (b)(i)Find the least common multiple (LCM) of 36 and 80. 720............................. [2] (ii)Find the highest common factor (HCF) of 36 and 80. 4............................... [1]

+ a: b: c: d: Calculate the value of: Add, subtract, multiply and divide fractions Calculate the value of: + a: b: c: d:

7 subtraction a: b: c: d: What is the value of: Add, subtract, multiply and divide fractions 7 What is the value of: subtraction a: b: c: d:

8 multiply a: 2 b: 4 c: 6 d: 8 Find the value of: Add, subtract, multiply and divide fractions 8 Find the value of: multiply a: 2 b: 4 c: 6 d: 8

10 DIVISION a: 48 b: 24 c: 12 d: 6 What is the value of: Add, subtract, multiply and divide fractions 10 What is the value of: DIVISION a: 48 b: 24 c: 12 d: 6

Calculate percentage increase and decrease Increase the following rail fares by 10%. a) £9.20 b) £3.70 10% = ………………… 10% = ………………… New cost = ……………… New cost = ………………   c) £5.00 d) £9.81 New cost = ……………… New cost = ………………

Calculate percentage increase and decrease Increase the following rail fares by 10%. a) £9.20 b) £3.70 10% = 92p………………… 10% = 37p………………… New cost = £10.12…… New cost = £4.07……   c) £5.00 d) £9.81 10% = 50p………………… 10% = 98p………………… New cost = £5.50………… New cost = £10.79……

Calculate percentage increase and decrease decrease the following rail fares by 15%. a) £9.20 b) £3.70 10% = ………………… 10% = ………………… 5%= 5%= 15%= 15%= New cost = ……………… New cost = ………………   c) £5.00 d) £9.81 10% = ………………… 10% = ………………… 5%= 5%= 15%= 15%= New cost = ……………… New cost = ………………

Calculate percentage increase and decrease decrease the following rail fares by 15%. a) £9.20 b) £3.70 10% = 92p 10% = 37p 5%= 46p 5%= 18.5p 15%= £1.38 15%= 55.5p New cost = £7.82 New cost =£3.15   c) £5.00 d) £9.81 10% = 50p 10% = 98.1p 5%= 25p 5%=49.05p 15%= 75p 15%= £1.47 New cost = £4.25 New cost = £8.34

Calculate the square root and cube root of a number Match these values to their square roots 49, 1, 81, 36, 25, 16, 4 1, 4, 7, 2, 6, 9, 5 Match these numbers to their cube roots 125, 216, 1, 27, 64, 8 1, 5, 4, 2, 6, 3

Add, subtract, multiply and divide decimals 2.1+3.8= 8.12-5.9= 1.2x4= 4.81.2=

Add, subtract, multiply and divide decimals 2.1+3.8= 8.12-5.9= 1.2x4= 4.81.2= Now use your calculator to check

Add, subtract, multiply and divide decimals 2.1+3.8= 8.12-5.9= 1.2x4= 4.81.2= Now use your calculator to check Exam question. How many bottles of water at £1.27 can Amy buy with a £5 note? How much change will she have?

Write the prime factor decomposition of a number Also called the product of primes 300 600 120 60 55 550 check your results by multiplying the together, you should get what you started with

Work with indices Simplify evaulate 52 x 52 52 x 92 24 x 22  2 92  90 52 90 (22 )3

Convert between fractions decimals and percentages = 0·9 = % = = 3% = 0·53 = 53%

Share an amount in a ratio 4. Alan, Brendan and Chloe shared £768 in the ratio 5 : 4 : 3. How much did each receive? Alan £ .................................... Brendan £ .................................... Chloe £ ....................................[3] 5. (a) A box contains 120 cubes. Some of the cubes are black, the rest are white. The black cubes and white cubes are in the ratio 2 : 3. Calculate the number of black cubes and the number of white cubes in the box. black cubes ................................ white cubes ................................[3] (b) Another box also contains black cubes and white cubes in the ratio 2 : 3. There are 160 black cubes. How many white cubes are there?...................................[2]

Find the perimeter and area of a square, rectangle and triangle

Area and perimeter Perry the ant walks around the edge of a shape, when you calculate perimeter make sure you have used all the edges There are no formulas you have to know for perimeter except the circles one.

Area is the space a shape covers and we find it by multiplying 3.8cm 7cm 4cm 8cm 4.5cm 6cm 7cm 9cm 5cm 4cm 18mm 12cm 10cm

Area is the space a shape covers and we find it by multiplying 3.8cm 7cm 4cm 8cm 4.5cm 6cm 7cm 9cm 5cm 4cm 18mm 12cm 10cm

Factorise an expression Example Factorise 36-3x = 3(12-x) Now write and answer 5 of your own green questions showing you can factorise an expression

Set up and solve a linear equation Construct, and then solve, an equation for each situation given below:   1. Think of a number. Subtract 9. The result is 25. What is the number? 2. Think of a number. Multiply it by 5, then add 12. The result is 52. What is the number? 3. A number is trebled and added to 11. The result is 50. What is the number? The three angles in a triangle are c, c+20 and c+40. Find c. 5. A number added to twice the number gives an answer of 24. What is the number? 6. Three consecutive numbers added together make 48. What are they?

Round to decimal places Round these numbers to one decimal place (a) 4.26 (b) 7.31 (c) 5.4377 (d) 2.1804 (e) 12.5052 (f) 1.65 (g) 0.95 (h) 4.352 (i) 7.857 (j) 10.8501

Round to decimal places Round these numbers to one decimal place (a)4.26 4.3 (b)7.31 7.3 (c)5.4377 5.4 (d)2.1804 2.2 (e)12.5052 12.5 (f)1.65 1.7 (g)0.95 1.0 (h)4.352 4.4 (i)7.857 7.9 (j)10.8501 10.9 Explain (g) to a friend

Solve an inequality 3x<18 x>7 represent your solution on a number line 2x+1≥11

Plot a quadratic graph Find the area of a compound shape

Calculate the area and circumference of a circle Write down the formulae you need Calculate the area and perimeter of each shape 3.5cm 14cm 9cm

You now have half a passport… Work down the 4th column and write green questions to convince your teacher you can do the topics in this column.

Expand brackets Remember there is no equals sign so you do not have to find an answer, just change the way it looks, in this case make it not have brackets. 3(a+2) 7(b-4) 3x(x+2) 5x(y-4)

Expand brackets Remember there is no equals sign so you do not have to find an answer, just change the way it looks, in this case make it not have brackets. 3(a+2) 3a+6 7(b-4) 7b-28 3x(x+2) 3x2+6x 5x(2y-4) 10xy-20x

Use trial and improvement Work to 1 decimal place a) x³+17=54 b) 2x³+5x=200 c) 5x²+60=120 d) x³+6=20

Use trial and improvement Work to 1 decimal place a) X³+17=54 x=3.3 b) 2x³+5x=200 x=4.5 c) 5x²+60=120 x=3.5 d) X³+6=20 x= 2.4

Write and use nth trem Use these nth terms to generate the next 5 terms of the sequences, the first one has been done for you 3n+1 4, _, _, _, _, ….. 2n-3 -1, _, _, _, _, ….. n+10 11, _, _, _, _...... n² 1, _, _, _, _, …..

Write and use nth trem Use these nth terms to generate the next 5 terms of the sequences, the first one has been done for you 3n+1 4, 7, 10, 13, 16, ….. 2n-3 -1, 1, 3, 5, 7, ….. n+10 11, 12, 13, 15, 15...... n² 1, 4, 9, 16, 25, …..

Now find the nth terms of these sequences 4, 6, 8, 10, ….. 3, 6, 9, 12, …. 1, 5, 9, 13, ….. 10, 7, 4, ….. 20, 24, 28, …..

Now find the nth terms of these sequences

Plot linear graphs And use words like gradient and intercept

Plot these points

Plot these points Girls (3, 4) Boys (5, 6)

Plot these points Girls (3, 4) (3, 0) Boys (5, 6) (4, 6)

Plot these points Girls (3, 4) (3, 0) (3, -1) Boys (5, 6) (4, 6) (0, 6)

Plot these points Girls (3, 4) (3, 0) (3, -1) (3, -0.5) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6)

Plot these points Girls (3, 4) (3, 0) (3, -1) (3, -0.5) (3, 6) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6) (-6, 6)

Plot these points Girls (3, 4) (3, 0) (3, -1) (3, -0.5) (3, 6) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6) (-6, 6) Which point could sit on either line?

Plot these points Girls (3, 4) (3, 0) (3, -1) (3, -0.5) (3, 6) ( , ) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6) (-6, 6)

Plot these points Girls (3, 4) (3, 0) (3, -1) (3, -0.5) (3, 6) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6) (-6, 6) Name your line

Plot these points Girls (3, 4) (3, 0) (3, -1) (3, -0.5) (3, 6) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6) (-6, 6) Girls name a line to the left of your line

Plot these points Girls (3, 4) (3, 0) (3, -1) (3, -0.5) (3, 6) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6) (-6, 6) Boys name a line above your line

Plot linear graphs Complete the table and plot y=4x+1 x -1 1 2 y 9

Percentages without a calculator 1% 100% 10% £50 98% 20% 3% 60% 35% 25%

Percentages without a calculator £0.50 £50 1% 100% £49 £5 10% £50 98% 20% 3% £10 £1.50 60% 35% 25% £30 £17.50 £12.50

URGENT NEWS FLASH

URGENT NEWS FLASH Maths exam markers today have announced that probability questions must be answered as a fraction

URGENT NEWS FLASH Or a decimal....

URGENT NEWS FLASH Or a percentage....

Or as a word if they give you words to choose from.... URGENT NEWS FLASH Or as a word if they give you words to choose from....

URGENT NEWS FLASH But never

URGENT NEWS FLASH Ever....

URGENT NEWS FLASH EVER......

URGENT NEWS FLASH As a ratio

Write a probability.. With a fraction Or a decimal Or a percentage

Volume of a prism What is the surface area of a cuboid with dimensions 10 cm, 8 cm and 5 cm. 5 cm 8 cm 10 cm

Find the volume and surface area of this prism 4 cm 5cm 14cm

Find the volume of this prism