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GCSE LINEAR GRADE F STARTER QUESTIONS (FOUNDATION) AUTHOR www.mistrymaths.co.uk Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills LINEAR GRADE F STARTERS Which ones are you using? 1) Fill in the missing numbers for the 2) Fill in the missing numbers for the sequences below: 16 …... 22 (a) 1, 2, 4, 7, 11, ….., sequences below and write down the rule. 48 …... 96 Multiply by 2 (a) 3, 6, 12, 24, ….., 8 …... 4 Divide by 2 (b) 128, 64, 32, 16, ….., 0.8 0.16 (c) 100, 20, 4, ….., …... Divide by 5 +1 +2 +3+4 +5 +6 108 78 …... (b) 3, 8, 18, 33, 53, ….., +5 +10+15 +20+25 +30 3) Write down the place value of the 4) underlined digits. (a) 0.861 (b) 0.736 (c) 0.459 = 8 tenths = 6 thousandths = 5 hundredths =3x4+2x3 = 12 + 6 = 18 5) Work out the range for the numbers below: 6) Work out the following: 7, 2, 4, 9, 11, 5, 5, 1 Range = Biggest number – Smallest number Range = 11 - 1 Range = 10 = 1 x 1 = 4 x 4 = 6 x 6 = 7 & -7 = 11 & -11 =1 = 16 = 36 Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills LINEAR GRADE F STARTERS Which ones are you using? 1) Work out the area and perimeter of 2) The diagram shows the front of a kennel. It the shape below: is drawn to a scale of 1:30. Find: 5m 1.5cm 4m Area of rectangle = length x width Area of rectangle = 5 x 4 Perimeter of rectangle = length + width + length + width Perimeter of rectangle = 5 + 4 + 5 + 4 4cm (a) The actual width of the front 4 x 30 = 120cm (b) The actual height of the doorway 1.5 x 30 = 45cm 3)(a) Find angle a. (b)Find angle x. 4) (a) Find angle a. (b)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 a = 120º Angle x = 65º Angle b = 110º Angle b = 145º Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills LINEAR GRADE F STARTERS Which ones are you using? 2)(a) 2 + 9 x 3 = 2 + 27 = 29 1) (b) (c) (d) 154 lbs 2 + 3 x 4 ÷ 2 =2 + 3 x 2 = 8 2 x 32– (4 + 2) = 2 x 3 - 6 = 0 2 x 3 – (4 + 2) = 2 x 9 - 6 = 12 3) 54 kg Use the conversion graph to convert: (a) 70 kg to pounds 154 pounds (b) 120 pounds to kg 54 kg (a) Plot the following coordinates and join each with a ruler: (4,2) (-5,2) (-6,-1) (3,-1) Parallelogram (b) What is the name of the shape formed? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills LINEAR GRADE F STARTERS Which ones are you using? 1) (b) (g) (a) (c) (e) 2) What does percentage (%) mean? ‘out of 100’ 3) (d) (f) Place each statement in the correct box above. (a) The next baby born is a boy. (b) Meeting King Henry the Eight alive. (c) Rolling a number less than 5 on a dice. 4) (d) You will not eat anything tonight. (e) A square having 4 right angles. (f) You will live to be over thirty. (g) Day of the week starting with a T. P = 2L + 2W Use the formula to find W when L= 7 and W = 8 Replace L with 7 and P with 8 P=2x7+2x8 P = 14 + 16 P = 30 State the enlargement from T to T1? 1 T Scale factor 2 from the origin Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills LINEAR GRADE F STARTERS Which ones are you using? Solve each of the following equations: 1) 𝑥 + 7 = 10 2) 𝑥 - 9 = 2 -7 -7 +9 +9 3) 𝑥 4 = 11 x4 x4 4) 5) = ÷2 10 ÷2 6) 9 ÷3 21 ÷3 7) 3 4 = 5 = 7 ÷5 ÷5 𝑥 = 8 𝑥 𝑥 = 3 = 11 𝑥 = 44 Cancel down the fractions below: 8 5𝑥 = 40 15 ÷5 35 ÷5 8) 24 ÷6 54 ÷6 3 4 7 9 Collect the like terms below: 10) b x b x b x b 9) b + b + b + b 4 = b = 4b 11) 5x – 3x + 9x 12) 2y + 3y – 7y 14) 5m – 6n + 4m – 3n = -2y 13) 7x + 9 + 3x - 6 = 10x + 3 = = 11x 9m – 9n Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills LINEAR GRADE F STARTERS Which ones are you using? 1) Using each of the digits 0, 4, 5, 7, 2) Name the different type of angles above. make two four digit odd numbers greater than 7000. 7045 and 7405 Obtuse Reflex 3) Acute (a) Insert the numbers above into the boxes below to make the largest possible total. Use each digit only one. 9 7 3 + 8 5 1058 (b) Insert the numbers above into the boxes below to make the smallest possible total. Use each digit only one. 4) Order these decimals in ascending order. 0.12, 0.4, 0.008, 0.9, 0.56 0.120 0.400 0.008 0.900 0.560 0.008, 0.12, 0.4, 0.56, 0.9 3 5 7 - 9 8 259 Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills LINEAR GRADE F STARTERS Which ones are you using? 1) Mark on the lines of symmetry for the pictures 2) Write the order of rotational symmetry below: below: (a) (b) 4) 3) Complete the reflection of the shapes in the Order 4 Order 5 4) Multiply the following: mirror line. 58 x 98 Click to reveal Click to reveal Click to reveal 5 8 5 14 5 7 2 6 4 0 8 Click to reveal Click to reveal Click to reveal 6 4 4 5684 x 9 8 Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills LINEAR GRADE F STARTERS Which ones are you using? 1) Measure the line in cm and mm 6.6cm 66mm 2) Measure the angle below: 50o 3) Measure the angle below: 0 on the inside so use inside scale 67o 4) Draw an angle of 110º: 0 on the outside so use outside scale Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills LINEAR GRADE F STARTERS Which ones are you using? 1) 2) Work out the median for the numbers below: 9, 3, 7, 9, 10, 4, 6, 1 Order the numbers first 1, 3, 4, 6, 7, 9, 9, 10 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 (c) Square number (d) Prime number (a) How many snails were found in the garden? 40 (b) Approximately how many woodlice, slugs and beetles were found in the garden? 20 4) Work out the following: (a) 10 ++ 3 (b) 15+- 4 (c) 6 -+ 7 (d) 11 - - 2 = 15 - 4 = 6 - 7 = 11 + 2 = 10 + 3 = 11 = -1 = 13 = 13 (e) 5 - 7 (f) -4 + 5 (g) -3 - 4 = -2 =1 = -7 5) Work out the mean for the numbers below: 5, 2, 4, 7, 11, 5, 5, 1 Mean = 5 Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills LINEAR GRADE F STARTERS Which ones are you using? 1) Draw the nets of the following solids: (b) (a) (c) 2) Convert the following: (a) 5kg to pounds x5 11lbs x5 (b) 30miles to kilometres (c) 6gallons to litres x6 x8 48km x6 36litres x8 Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills LINEAR GRADE F STARTERS Which ones are you using? 2) Write these percentages as 1) fractions and decimals (a) 7% (b) 59% = = = 0.07 = 0.59 x 3)(a) ÷ Write down the years where girls internet use exceeded the boys. 1998, 2000, 2002 x2 x3 x2 5 of £30 ÷ 5)(a) 2 (b) 5 9 of €72 = €40 = £18 4) Put these fractions in order with smallest first. x3 3 x (b) + x