GCSE Maths Easter Revision pack For Unseen Assessments
←
→
Page content transcription
If your browser does not render page correctly, please read the page content below
GCSE Maths Easter Revision pack For Unseen Assessments Name: ___________________ Form: __________ The topics included in this revision pack are based on the specification for the Unseen Assessments. Each topic includes a QR code to a revision video with an accompanying exam question for you to attempt. The answers are included in the back of the pack. TOP TIP: Revise in small chunks, completing 1-2 pages at a time. Assessment dates: Unseen Assessment 1: w/c 26th April 2021 Unseen Assessment 2: w/c 10th May 2021
Mathematics – Unseen Assessment 1 (Foundation - Calculator) Specification Details 5.03a – Growth and Solve problems step by step involving multipliers over a given decay interval, for example compound interest, depreciation. QR code/Video link Questions to try 1. The population of a town is now 84 100. The population of the town is predicted to rise by 2% each year. Find the predicted population of the town after 6 years. https://corbettmaths.com/ 2012/08/21/compound- .......................... people interest/ 6.01 – Algebraic Simplify algebraic terms by collecting like terms (multiplying expressions and dividing) Expand single and double brackets Factorising into single and double brackets QR code/Video link Questions to try 1. Simplify 2. Expand https://corbettmaths.com/ 2013/12/23/expanding- brackets-video-13/ 3. Expand and simplify 6.01 – Algebraic Factorising into single and double brackets expressions QR code/Video link Questions to try 1. Factorise 2. Factorise https://corbettmaths.com/ 2013/02/06/factorisation/ 6.03a – Linear equations Set up and solve linear equations in one known QR code/Video link Questions to try 1. 2. Solve https://corbettmaths.com/ 3.Solve 4. Solve 2012/08/24/solving- equations/ QR code/Video link Questions to try 10.05a - Pythagoras Know Pythagoras’ theorem and use it to find missing lengths in 2D
QR code/Video link Questions to try https://corbettmaths.com/ 2012/08/19/pythagoras- video/ 10.03d – Area of a circle Know and apply the formula area = pi r^2 to calculate area of a circle. QR code/Video link Questions to try https://corbettmaths.com/ 2013/12/22/area-of-a- circle-video-40-and-59/ Give your answers to 2dp 12.02a – Categorical and Interpret and construct charts appropriate to data type numerical data including frequency tables, bar charts, pie charts and pictograms for categorical data, vertical line charts for ungrouped discrete numerical data. Interpret multiple and composite bar charts. QR code/Video link Questions to try
Show that you can work out the angles before you draw the pie-chart. Hint! Draw another column next to ‘Frequency’ and label ‘angles’ https://corbettmaths.com/ 2013/02/27/drawing-a-pie- chart/ 12.03a – Summary Calculate averages from ungrouped and grouped data tables. statistics QR code/Video link Questions to try 1. https://corbettmaths.com/ 2012/08/19/means-from- frequency-tables/ 2. https://corbettmaths.com/ 2012/08/19/estimated- means-from-grouped-data/ QR code/Video link Questions to try 2.03 – Percentages To be able to use ratio, fractions and percentages in a variety 5.01 – Calculations with ratio of ways, including problem solving. 2.01 - Fractions QR code/Video link Questions to try 1. Nikhil, Davina and Sid share a tin of celebrations amongst themselves in the ratio of 8:12:20 respectively. Given that Davina gets 48 sweets, calculate the total number of sweets that were in the tin.
https://corbettmaths.com/ 2. £85.75 is being shared between Zayn and Edith in the ratio 2013/03/03/ratio-sharing- 3:4. the-total/ How much money would each of them get? 3. Andrew is paid £250 a week. Each week, he • shares his pay with his sister in the ratio 3 : 2 https://corbettmaths.com/ • saves 12% of his share. 2013/02/15/percentages- How many weeks will it take Andrew to save £360? of-an-amount-calculator/ Mathematics – Unseen Assessment 2 (Foundation - Non-calculator) Specification Details 1.01 – Negative numbers Four rules of negative numbers. QR code/Video link Questions to try 1. Work out 2. Calculate 3. Work out https://corbettmaths.com/201 3/06/08/negatives-addition- and-subtraction-2/ https://corbettmaths.com/201 2/08/20/multiplying-negative- numbers/ 1.02a – Definitions and Identify odd, even, prime, factor, multiple, square, cube terms and roots of numbers. QR code/Video link Questions to try 1. Which of the following numbers is not a square? 2. Dave is thinking of a number. The number is: • greater than 200, https://corbettmaths.com/201 • less than 300, 2/08/11/1335/ • a square number, • a multiple of 5. What number is Dave thinking of?
1.02b – Prime numbers Identify prime numbers less than 20 Express numbers as a product of primes QR code/Video link Questions to try Here is a list of numbers. 2 8 15 24 31 36 40 64 From this list, write down a prime number. https://corbettmaths.com/201 3/03/24/prime-numbers/ 1.02c – Find the HCF and HCF and LCM by listing. LCM of two whole numbers HCF and LCM in context. by listing HCF and LCM of two whole numbers from their prime factors. QR code/Video link Questions to try 1. Write down all the factors of 18. 2. 3. Write down a multiple of 6 between 10 and 20. https://corbettmaths.com/201 4. Find the lowest common multiple (LCM) of 4, 5 and 6. 2/08/24/common-factors-and- hcf/ https://corbettmaths.com/201 2/08/11/lcm-and-common- multiples/ 2.01 and 2.02 – Decimals Converting between fractions, decimals and percentages and fractions Four rules of fractions and decimals QR code/Video link Questions to try 1. Write 0.7 as a fraction. 2. Write 3% as a decimal. 3. Write 0.39 as a fraction. https://corbettmaths.com/201 4. Work out 2/08/21/fractions-addition- and-subtraction/ 5. Work out in the simplest form 6. Work out 7. Work out
https://corbettmaths.com/201 2/08/21/division-with- fractions/ 3.01c – Laws of Indices Know and use the laws of indices QR code/Video link Questions to try 1. Express 8 x 2 as a power of 2 2) Simplify 3. https://corbettmaths.com/201 4. 3/03/13/laws-of-indices- 5. algebra/ 6. Simplify 3.02 – Standard form Convert between normal and standard form Calculate in standard form QR code/Video link Questions to try 1. 2. 3. 4. Work out your answer in standard form https://corbettmaths.com/201 3/04/28/standard-form/ 5. Write your answer in standard form https://corbettmaths.com/201 3/04/29/standard-form- multiplication/ 4.01a - Rounding Round to the nearest 10, 100, 1000, decimal places and significant figures. QR code/Video link Questions to try 1. Round 7.3065 to 1 decimal place 2. 3. https://corbettmaths.com/201 3/09/07/rounding-significant- figures/ 4. 4.01b - Estimation Estimate or check without a calculator the result of a calculation by using suitable approximations QR code/Video link Questions to try
https://corbettmaths.com/201 3/09/07/rounding-significant- figures/ 6.01 – Algebraic expressions Simplify algebraic terms by collecting like terms (multiplying and dividing) Expand single and double brackets Factorising into single and double brackets QR code/Video link Questions to try 1. Simplify 2. Simplify https://corbettmaths.com/201 3. 3/12/28/collecting-like-terms- video-9/ 4. (a) Expand (b) Expand 5. Expand and simplify https://corbettmaths.com/201 3/12/23/expanding-brackets- 6. Factorise video-13/ 7. Factorise 6.03a – Linear equations in Set up and solve linear equations. one known QR code/Video link Questions to try 1. 2. Solve 3) solve 4) solve https://corbettmaths.com/201 2/08/24/solving-equations/ 5) work out the value of x in the rectangle above. 6.06a - Sequences Calculate the nth term of linear sequences Generate terms in a sequence Deduce if a given number is in a sequence
QR code/Video link Questions to try 1. https://corbettmaths.com/201 2. 2/08/20/the-nth-term-for- linear-sequences/ 3. 7.02a – Straight line graphs Sketch linear graphs from an equation. QR code/Video link Questions to try 1. Sketch a graph of y = x + 2 https://corbettmaths.com/201 3/04/20/drawing-graphs-using- gradient-and-intercept/ 8.01c - Polygons Know the names of 2D and 3D shapes and their properties including lines of symmetry and rotational symmetry QR code/Video link Questions to try 1. https://corbettmaths.com/201 2/08/10/angles-in-polygons/ https://corbettmaths.com/201 2. 3/12/27/edges-face-vertices- video-5/ 3.
8.03 - Angles Apply basic angle rules and justify Apply facts to find missing angles of a polygon including interior, exterior and number of sides. Use and justify angles in parallel lines rules. QR code/Video link Questions to try https://corbettmaths.com/201 2/08/10/angles-in-a-triangle/ 1. 2. https://corbettmaths.com/201 2/08/10/angles-in-polygons/ 3. 4. 9.01 – Translation, Perform and describe these transformations. reflection, rotation QR code/Video link Questions to try https://corbettmaths.com/201 2/08/19/enlargements/ 11.02 – Tree Diagrams Construct and interpret tree diagrams with and without replacement. QR code/Video link Questions to try
https://corbettmaths.com/201 3/05/07/tree-diagrams/ 12.03c – Bivariate data Plot and interpret scatter graphs. Recognise correlation. Draw a use a line of best fit. Interpolate and extrapolate from data and be aware of the limitations of these techniques QR code/Video link Questions to try https://corbettmaths.com/201 2/08/10/scatter-graphs/ B) Try and draw the line of best fit on both graphs. 2.03 – Percentages To be able to use ratio, fractions and percentages in a 5.01 – Calculations with ratio variety of ways, including problem solving. 2.01 - Fractions Calculate fractions and percentages of quantities. QR code/Video link Questions to try https://corbettmaths.com/201 3/02/15/fdp/
ANSWERS SECTION Specification Answers (Calculator) 5.03a – Growth and 1. 94700 people decay 2. any value in the range 12349 to 12350 6.01 – Algebraic 1. expressions 2. 3. simply to: 6.01 – Algebraic Factorising into single and double brackets expressions 1. 2. (x + 3) (x + 5) 6.03a – Linear equations Set up and solve linear equations in one known 1. 2. 3. 4. 10.05a - Pythagoras Know Pythagoras’ theorem and use it to find missing lengths in 2D 1. AB = 17cm 2. BC = 19.1cm 10.03d – Area of a circle Know and apply the formula area = pi r^2 to calculate area of a circle. 1. 78.5cm2 6. 38.5m2 12.02a – Categorical and Interpret and construct charts appropriate to data type numerical data including frequency tables, bar charts, pie charts and pictograms for categorical data, vertical line charts for ungrouped discrete numerical data. Interpret multiple and composite bar charts. France = 153 degrees Ireland = 117 degrees Portugal = 36 degrees Spain = 54 degrees 12.03a – Summary Calculate averages from ungrouped and grouped data tables. statistics 1. 3.75 or rounded to 4 people per family 2. 47.5 mph 2.03 – Percentages To be able to use ratio, fractions and percentages in a variety 5.01 – Calculations with of ways, including problem solving. ratio 1. 160 sweets 2.01 - Fractions 2. Zayn = £36.75 and Edith = £49 3. 20 weeks Specification Answers (NON-Calculator) 1.01 – Negative numbers Four rules of negative numbers. 1. -11 2. -26 3. 2
1.02a – Definitions and Identify odd, even, prime, factor, multiple, square, cube terms and roots of numbers. Answers 1. 25 2. 225 1.02b – Prime numbers Identify prime numbers less than 20 Express numbers as a product of primes Answer is "2 OR 31" 1.02c – Find the HCF and HCF and LCM by listing. LCM of two whole numbers HCF and LCM in context. by listing HCF and LCM of two whole numbers from their prime factors. 1. 1 , 2 , 3 , 6 , 9 , 18 2. "2", "3" and "6" 3. "12 OR 18" 4. 60 2.01 and 2.02 – Decimals Converting between fractions, decimals and percentages and fractions Four rules of fractions and decimals 1. 2) 0.03 3. 4. 5. 6. 7) 24/4 = 6 3.01c – Laws of Indices Know and use the laws of indices 1. 24 2) a5 3) 35 4) y6 5) y7 6) 3.02 – Standard form Convert between normal and standard form Calculate in standard form 1. ) 2) 3) 4) 5) 4.01a - Rounding Round to the nearest 10, 100, 1000, decimal places and significant figures. 1) 7.3 2) 200 3) 8760 4) 40.8 4.01b - Estimation Estimate or check without a calculator the result of a calculation by using suitable approximations Answer is 40 6.01 – Algebraic expressions Simplify algebraic terms by collecting like terms (multiplying and dividing) Expand single and double brackets Factorising into single and double brackets 1) 6a 2) 2p + 3q 3) 12ab 4a) 8y + 12 4b) 5) 9c – 13 6) 5(c+6) 7) 6.01 – Algebraic expressions Simplify algebraic terms by collecting like terms (multiplying and dividing) Expand single and double brackets Factorising into single and double brackets
1) x = 6 2) y = -2 3) x = -12 4) y = 17 5) x =7.75cm 6.06a - Sequences Calculate the nth term of linear sequences Generate terms in a sequence Deduce if a given number is in a sequence 1) 52 2) -48 3) 7.02a – Straight line graphs Sketch linear graphs from an equation. Answers: y = x +2 means a graph that has y-intercept at 2 and gradient of 1 8.01c - Polygons Know the names of 2D and 3D shapes and their properties including lines of symmetry and rotational symmetry 1. Hexagon and decagon 2. Kite 3. 5 faces and 8 edges 8.03 - Angles Apply basic angle rules and justify Apply facts to find missing angles of a polygon including interior, exterior and number of sides. Use and justify angles in parallel lines rules. 1. 2. 3. 4. 9.01 – Translation, Perform and describe these transformations. reflection, rotation Answer is scale factor ½ 11.02 – Tree Diagrams Construct and interpret tree diagrams with and without replacement. Answers are: 12.03c – Bivariate data Plot and interpret scatter graphs. Recognise correlation. Draw a use a line of best fit. Interpolate and extrapolate from data and be aware of the limitations of these techniques Answer is graph B Line of best fit should be a straight line along the steepness of the crosses. 2.03 – Percentages5.01 – To be able to use ratio, fractions and percentages in a Calculations with ratio variety of ways, including problem solving. 2.01 - Fractions Calculate fractions and percentages of quantities. Answer is 24%
You can also read