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GCSE LINEAR GRADE F STARTER QUESTIONS (FOUNDATION). AUTHOR. www.mistrymaths.co.uk. Which ones are you using?. Team Worker. Creative Thinker. Effective Participator. Independent Enquirer. Reflective Learner. Self Manager. LINEAR GRADE F STARTERS. PLT Skills. 1).

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  1. GCSE LINEAR GRADE F 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 F STARTERS PLT Skills 1) Fill in the missing numbers for the sequences below: 2) Fill in the missing numbers for the sequences below and write down the rule. 48 96 Multiply by 2 (a) 3, 6, 12, 24, ….., …... 16 22 (a) 1, 2, 4, 7, 11, ….., …... 8 4 Divide by 2 (b) 128, 64, 32, 16, ….., …... +2 +1 +3 +4 +5 +25 +15 +10 +20 +6 +30 +5 0.8 0.16 Divide by 5 (c) 100, 20, 4, ….., …... 108 78 (b) 3, 8, 18, 33, 53, ….., …... 3) Write down the place value of the underlined digits. 4) (a) 0.861 (b) 0.736 (c) 0.459 = 3 x 4 + 2 x 3 = 5 hundredths 8 tenths = = 6 thousandths = 12 + 6 = 18 6) 5) Work out the following: Work out the range for the numbers below: 7, 2, 4, 9, 11, 5, 5, 1 = = = 1 x 1 4 x 4 = = 6 x 6 7 & -7 11 & -11 Range = Biggest number – Smallest number = = = 1 16 36 Range = 11 - 1 Range = 10

  3. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE F STARTERS PLT Skills 1) 2) Work out the area and perimeter of the shape below: The diagram shows the front of a kennel. It is drawn to a scale of 1:30. Find: 5m 4m 1.5cm Area of rectangle = length x width Area of rectangle = 5 x 4 4cm Perimeter of rectangle = length + width + length + width (a) The actual width of the front (b) The actual height of the doorway Perimeter of rectangle = 5 + 4 + 5 + 4 120cm 4 x 30 = 45cm 1.5 x 30 = 4) 3) (a) (a) Find angle a. (b) Find angle a. (b) Find angle x. Find angle x. 90º Angles on a straight line add to make 180º Angles around a point add to make 360º Angle b = 180 – 35 Angle b = 180 – 70 Angle a = 360 – 85 – 80 - 75 Angle x = 360 – 105 – 90 - 100 Angle b = 145º Angle b = 110º Angle a = 120º Angle x = 65º

  4. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE F STARTERS PLT Skills 2 + 27 2 + 9 x 3 = = 29 1) 2) (a) 2 + 3 x 2 = 8 2 + 3 x 4 ÷ 2 = (b) 2 x 3 - 6 = 0 2 x 3 – (4 + 2) = (c) 2 = 12 2 x 3 – (4 + 2) = 2 x 9 - 6 (d) 154 lbs 3) 54 kg Use the conversion graph to convert: (a) 70 kg to pounds (b) 120 pounds to kg 154 pounds (a) Plot the following coordinates and join each with a ruler: (4,2) (-5,2) (-6,-1) (3,-1) What is the name of the shape formed? 54 kg Parallelogram (b)

  5. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE F STARTERS PLT Skills 1) 2) What does percentage (%) mean? (c) (g) (e) (b) (a) ‘out of 100’ 3) P = 2L + 2W Use the formula to find W when L= 7 and W = 8 (f) (d) Replace L with 7 and P with 8 Place each statement in the correct box above. P= 2x 7 + 2x 8 P = 14 + 16 (a) The next baby born is a boy. P = 30 (b) Meeting King Henry the Eight alive. 4) (c) Rolling a number less than 5 on a dice. State the enlargement from T to T ? (d) You will not eat anything tonight. (e) A square having 4 right angles. 1 (f) You will live to be over thirty. (g) Day of the week starting with a T. Scale factor 2 from the origin 1 T

  6. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE F STARTERS PLT Skills Solve each of the following equations: 𝑥 5𝑥 = 40 = 𝑥 - 9 = 2 11 4) 𝑥 + 7 = 10 3) 1) 2) 4 ÷ 5 ÷ 5 - 7 + 9 - 7 + 9 x 4 x 4 𝑥 = 8 𝑥 𝑥 = 3 = 11 𝑥 44 = ÷2 ÷5 ÷3 ÷6 Cancel down the fractions below: 12) 13) 11) 9) 5m – 6n + 4m – 3n b + b + b + b b x b x b x b 2y + 3y – 7y ÷3 ÷2 ÷5 ÷6 5x – 3x + 9x 7x + 9 + 3x - 6 10) 14) 7) 8) 5) 6) 4 = b = = = 24 15 8 4 4 3 9 3 Collect the like terms below: 5 7 7 9 35 21 10 54 = 4b = 11x = -2y = 10x + 3 = 9m – 9n

  7. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE F STARTERS PLT Skills 1) 2) Name the different type of angles above. Using each of the digits 0, 4, 5, 7, make two four digit odd numbers greater than 7000. Obtuse 7045 and 7405 Reflex 3) Acute (a)Insert the numbers above into the boxes below to make the largest possible total. Use each digit only one. 1058 9 8 3 9 7 3 7 5 5 8 + 4) Order these decimals in ascending order. 0.12, 0.4, 0.008, 0.9, 0.56 (b)Insert the numbers above into the boxes below to make the smallest possible total. Use each digit only one. 0.560 0.008 0.400 0.900 0.120 0.56, 0.9 0.008, 0.4, 0.12, 259 -

  8. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE F STARTERS PLT Skills 2) 1) Write the order of rotational symmetry below: Mark on the lines of symmetry for the pictures below: (a) (b) 4) Order 4 Order 5 3) Complete the reflection of the shapes in the mirror line. Click to reveal Click to reveal Click to reveal 4) Multiply the following: 58 x 98 x 5 8 Click to reveal Click to reveal Click to reveal 7 4 9 5 1 2 5 6 4 8 6 4 0 8 4 5684

  9. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager 0 on the inside so use inside scale 0 on the outside so use outside scale LINEAR GRADE F STARTERS PLT Skills 1) 2) Measure the line in cm and mm Measure the angle below: 66mm 6.6cm 50o 3) Measure the angle below: 4) 67o Draw an angle of 110º:

  10. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE F STARTERS PLT Skills 1) 2) Work out the median for the numbers below: 9, 3, 7, 9, 10, 4, 6, 1 Order the numbers first 1, 4, 6, 7, 9, 10 3, 9, Median is the middle when in order Median = 6.5 3) Work out the probability for the following when rolling a dice once: (a) An even number (b) Number less than 5 (a) How many snails were found in the garden? 40 (d) Prime number (c) Square number (b) Approximately how many woodlice, slugs and beetles were found in the garden? 20 5) Work out the mean for the numbers below: 4) Work out the following: 5, 2, 4, 7, 11, 5, 5, 1 (c) 6 -+ 7 (d) 11 - - 2 (b) 15+- 4 (a) 10 ++ 3 = 15 - 4 = 6 - 7 = 11 + 2 = 10 + 3 = 11 = -1 = 13 = 13 (e) 5 - 7 (g) -3 - 4 (f) -4 + 5 Mean = 5 = -2 = 1 = -7

  11. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE F STARTERS PLT Skills 1) Draw the nets of the following solids: (b) (c) (a) 2) Convert the following: (a) (b) 30miles to kilometres (c) 5kg to pounds 6gallons to litres x5 x6 x8 x5 x6 x8 11lbs 48km 36litres

  12. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager LINEAR GRADE F STARTERS PLT Skills 2) Write these percentages as fractions and decimals 1) (a) 7% (b) 59% x x = = ÷ ÷ 0.59 0.07 = = 3) (a) of £30 (b) of €72 Write down the years where girls internet use exceeded the boys. = €40 = £18 3 5 5) (a) 1998, 2000, 2002 5 9 4) Put these fractions in order with smallest first. 2 x3 x2 x2 + x3 (b) x

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