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

2. LINEAR GRADE F STARTERS Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills 1) 2) 3) 4) Fill in the missing numbers for the sequences below: (a) 1, 2, 4, 7, 11, ….., …... (b) 3, 8, 18, 33, 53, ….., …... Fill in the missing numbers for the sequences below and write down the rule. (a) 3, 6, 12, 24, ….., …... (b) 128, 64, 32, 16, ….., …... (c) 100, 20, 4, ….., …... Write down the place value of the underlined digits. (a) 0.861(b) 0.736(c) 0.459 +1+2+3+4+5 16 +6 22 +5+10+15+20+25 78 +30 108 4896Multiply by 2 84Divide by 2 0.80.16Divide by 5 = 8 tenths = 6 thousandths = 5 hundredths = 3 x 4 + 2 x 3 = 12 + 6 = 18 5) Work out the range for the numbers below: 7, 2, 4, 9, 11, 5, 5, 1 Range = Biggest number – Smallest number Range = 11 - 1 Range = 10 6) Work out the following: = 1 x 1 = 1 = 4 x 4 = 16 = 6 x 6 = 36 = 7 & -7 = 11 & -11

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

4. Use the conversion graph to convert: (a) 70 kg to pounds (b) 120 pounds to kg 154 lbs 154 pounds 54 kg LINEAR GRADE F STARTERS Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills 1) 2) 3) 2 + 9 x 3 = (a) 2 + 3 x 4 ÷ 2 = (b) 2 x 3 – (4 + 2) = (c) 2 x 3 – (4 + 2) = (d) 2 2 + 27 = 29 2 + 3 x 2 = 8 2 x 3 - 6 = 0 2 x 9 - 6 = 12 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? (a) (b) Parallelogram

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

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

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

8. LINEAR GRADE F STARTERS Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills 1) 2) 3) 4) Mark on the lines of symmetry for the pictures below: Complete the reflection of the shapes in the mirror line. Order 4Order 5 Write the order of rotational symmetry below: (a)(b) Click to reveal 58 x 98 58 x 9 8 4 5 7 2 4 0 6 4 48 6 1 5 5684 4) Multiply the following:

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

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

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

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