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GCSE Linear Grade E Starters - Foundation Level Maths Questions

A collection of linear grade E starter questions for GCSE students. These questions cover various topics and provide practice for foundational skills.

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GCSE Linear Grade E Starters - Foundation Level Maths Questions

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  1. GCSE LINEAR GRADE E STARTER QUESTIONS (FOUNDATION) AUTHOR www.mistrymaths.co.uk

  2. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE E STARTERS PLT Skills 1) 2) Write the term to term rule of the following sequences: Write down the next two terms of the following sequences: Subtract 2 from the previous term each time 21 28 (a) -3, -5, -7, -9, ….., …. (a) 1, 3, 6, 10, 15, ….., …. +5 -2 -2 -2 +2 +3 +6 +4 +1 +2 +4 +8 +32 +7 +16 33 65 (b) 2, 3, 5, 9, 17, ….., …. 4) Work out the area and perimeter of: 3) 2.6cm Replace 𝑥 with 2 and y with 3 Replace 𝑥 with -3 and y with -4 8.3cm = 2 x 2 – 3 x 3 = 2 x -3 – 3 x -4 Area of a rectangle = length x width = 4 – 9 = -6 + 12 Area of rectangle = 8.3 x 2.6 = -5 = 6 Perimeter of a rectangle = length + width + length + width Perimeter of rectangle = 8.3 + 2.6 + 8.3 + 2.6 Perimeter of rectangle = 21.8cm

  3. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE E STARTERS PLT Skills 2) 1) Work out the following: Work out the following: (a) 10% of £40 10% means ÷10 £4 = What number multiplies by itself 3 times to make 27? What number multiplies by itself 3 times to make 64? = 1 x 1 x 1 = 2 x 2 x 2 = 5 x 5 x 5 (b) = 1 = 8 = 125 10% of £57 10% means ÷10 £5.70 = = 3 = 4 4) 3) Work out the following: (a) (b) 30% of 90mm 90% of 40years 10% = 9mm 10% = 4years x9 x3 x9 x3 30% = 90% = 27mm 36years On the map, how many km would 5cm be? (d) (c) 17.5% of 60litres 35% of 80cl 1cm = 160km 10% = 8cl 10% = 6litres x5 x5 ÷2 ÷2 x3 x3 800km 5cm = 30% = 5% = 3litres 24cl Add 30% and 5% answers 5% = 4cl 2.5% = 1.5litres ÷2 ÷2 28cl 35% = Add 10%, 5% and 2.5% answers 17.5% = 10.5litres

  4. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE E STARTERS PLT Skills 1) 2) P = 2L + 2W Use the formula to find W when L= 2 and P = 20 Replace L with 2 and P with 20 20 = 2x 2 + 2xW 20 = 4 + 2W - 4 - 4 16 = 2W 15mins ÷ 2 ÷ 2 8 = W W = 8 3) Work out the value of each of the angles below: Angles in a triangle add to 180º 15mins 30mins 45mins 60º 40º 8km 60º 60º 10km/h (b) His speed for the first hour? 15mins (c) How long did he stop for? Isosceles triangle so base angles are the same 75º 75º (d) How long did it take him to run 40km? 2hours 45mins

  5. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE E STARTERS PLT Skills 1) 2) F = 1.8C + 32 Use the formula to find F when C= 4 Replace C with 4 F = 1.8x 4 + 32 F = 7.2+ 32 F = 39.2 𝑥 𝑥 + 2 + 2 = 9 = 9 NOT THE SAME 6 6 6) 3) 2𝑥 + 3 = 11 5) 6𝑥 - 5 = 34 4) 𝑥 + 5 + 5 - 2 - 2 - 3 - 3 6 x 6 x 6 6𝑥 39 2𝑥 = = 8 7 = 𝑥 + 2 54 = ÷ 6 ÷ 6 ÷ 2 ÷ 2 - 2 - 2 x 6 x 6 𝑥 𝑥 6.5 4 = = 𝑥 𝑥 42 52 = =

  6. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE E STARTERS PLT Skills 1) 2) Simplify by collecting like terms: =-2y 70º =10x + 3 – 9n =9m 40º (c) (b) (a) 2y + 3y – 7y 5m – 6n + 4m – 3n 7x + 9 + 3x - 6 = 110º (Exterior angle is equal to the sum of the opposite interior angles) 4) Round the following to 2d.p.: 3) Round the following to 1d.p.: (b) 3 . 6 6 8 (b)7 . 2 8 (a) 6 . 8 3 2 (a)4 . 8 3 = 3 . 6 7 = 4 . 8 = 7 . 3 = 6 . 8 3 5) Round the following to 1s.f.: (c) 3 8 2 (b) 6 7 (d) 0 . 0 3 4 (a) 7 . 1 = 400 = 0.03 = 70 = 7

  7. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE E STARTERS PLT Skills 1) y-axis 2) Reflect the shape in the y-axis Reflect the shape in the x-axis 4) 3) Write down all the prime numbers below 30 2, 3, 5, 7, 9, 11, 13, 17, 19, 23, 29 -8 3 x -1 - 5 -5 3 x 0 - 5 Which is the only even prime number? -2 3 x 1 - 5 2 1 3 x 2 - 5 Fill in the table above for y.

  8. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE E STARTERS PLT Skills 1) (a) 2) Stem-and-leaf to show the ages of people at a table tennis club 3) - 8 X +4 = +7 X - 6 = +3 X +5 = - 11 X - 2 = -32 (a) -15 +3 = +12 - 4 = +80 +10 = - 28 - 2 = -5 (b) -3 1 7 1 -42 9 (b) KEY: 2 1 2 8 5 means 3 2 32 15 (c) 8 (c) 3 9 2 3 5 5 8 (d) 22 14 (d) 2 7 4 1 (a) 16 How many people were asked their age? Count the amount of leaves 4) Find the volume of the cuboid below: (b) = What is the range of ages? 47 - 11 36 (c) What is the median age? 32.5 Find the middle age 5) 60cm Volume = length x width x height ÷20 ÷20 5cm 100cm Volume = 6cm 9cm 12cm x x 3 648cm Volume =

  9. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE E STARTERS PLT Skills 1) 2) Change the decimals to fractions and percentages: Find the missing numbers below: (a) 1 -1 -7, -5. -3, …., …. . (b) . -15 -18 -6, -9. -12, …., …. U U 0 0 7 0 6 a) b) (c) 6 60 7 7% 60% 100 100 10 = = = 4) 3) Enlarge the triangle by scale factor 2: Estimate the answers below: th th th th T T H H (a) 8 4 x 2 3.9 x 2.2 = (b) -4.11 x 6.82 -28 -4 x 7 = -4 (c) -20 ÷ 5 = -19.75 ÷ -4.91

  10. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE E STARTERS PLT Skills 1) 2) Draw the lines with equations x=3 and x =-7: 1m = 1cm x=-7 x=3 2m 3m Draw an accurate scale drawing of the triangle above: 2m 3m 4) 3) Draw the lines with equations y=x and y =-x: Draw the lines with equations y=2 and y =-5: y=-x y=x y=2 y=-5

  11. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE E STARTERS PLT Skills 1) 2) Draw a 4 by 6 by 3 cuboid below: Convert the following units: (a) 36 feet to yards (c)4 feet to inches (b) 48 ounces to pounds smaller to bigger (÷) smaller to bigger (÷) bigger to smaller (x) 36 ÷ 3 = 12 yards 48 ÷ 16 = 3 pounds 4 x 12 = 48 inches 3) Convert the following units: (a)732cm to m (b)450cl to litres smaller to bigger (÷) smaller to bigger (÷) 450 ÷ 100 = 4.5 litres 732 ÷ 100 = 7.32m (c) 1.2m to cm (d) 3m to mm bigger to smaller (x) bigger to smaller (x) 1.2 x 100 = 120cm 3 x 1000 = 3000mm

  12. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE E STARTERS PLT Skills 1) Construct a pie chart for the table below: Guitar Violin Recorder Keyboard Drum 90 TOTAL = 2) Find the averages and range for the data below: 2, 5, 6, 3, 1, 1, 15, 7 3) Ordered: 1, 1, 2, 3, 5, 6, 7, 15 1 (most common) Mode = 4 (middle when in order) Median = Work out the value of x and y above. Mean = = 5 = x = 360º - 100º - 60º - 95º = 105º Range = Biggest - Smallest = 15 -1 = 14 y (Angles in a quadrilateral add to 360º) y = 180º - 95º = 85º (Angles on a straight line add to 180º)

  13. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE E STARTERS PLT Skills 1) 3) 2) 4) 5) 7.9 + 4.7 7.52 - 4.45 28.6 + 3.12 10.2 - 6.19 5.8 x 9.8 . 4 1 x 1 7 . 9 1 5 8 0 7 . 5 2 1 1 0 . 2 0 2 8 . 6 0 1 3 1 1 1 1 1 4 2 - - . + x + - - 0 6 . 1 9 7 4 9 4 . 4 5 0 3 . 1 2 4 . 7 + 5 + 1 1 2 1 5 6 12 12 6 5 x 6 6 4 12 12 6 3 6 5 6 15 30 6 4 . . 0 7 1 4 3 0 8 . 12 3 1 6 . . 2 6 7 4 0 8 4 56.84 = = = 8) 6) 7) X 2 X 2 X 2 X 2 2 x 4 2 1 1 2 = = = 8 = 4 =

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