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GCSE LINEAR GRADE F STARTER QUESTIONS

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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

48 96 Multiply by 28 4 Divide by 2

0.8 0.16 Divide 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

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3) 4)

Work out the area and perimeter of the shape below:

5m

4m

Area of rectangle = length x widthArea of rectangle = 5 x 4

Perimeter of rectangle = length + width + length + widthPerimeter 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

1.5c

m

4 x 30 = 120cm

1.5 x 30 = 45cm

Find angle a.(a) Find angle x.(b)

Angle a = 360 – 85 – 80 - 75Angles 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

Use the conversion graph to convert:(a) 70 kg to pounds(b) 120 pounds to kg

154 lbs

154 pounds

54 kg

54 kg

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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 = 292 + 3 x 2 = 8

2 x 3 - 6 = 02 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

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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 8P = 14 + 16P = 30

State the enlargement from T to T ?

T1

1

Scale factor 2 from the

origin

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1) 𝑥 + 7 = 10 2) 3)

Solve each of the following equations:

𝑥 - 9 = 2 4)

𝑥4

=11- 7 - 7𝑥 = 3

+ 9 + 9𝑥 = 11x 4 x 4𝑥 = 44

5 𝑥 = 40÷ 5 ÷ 5𝑥 = 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

÷2

÷3

÷3

÷5

÷5

÷6

÷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

= b4

Collect the like terms below:

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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

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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 4 Order 5

Write the order of rotational symmetry below:

(a) (b)

Click to reveal

Click to reveal

Click to reveal

Click to revealClick to reveal Click to reveal

58 x 98

5 8 x9

8

45

72

40

64

48

6

15

5684

4)Multiply the following:

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1) 2)

3)

4)

Measure the line in cm and mm6.6cm 66mm

Measure the angle below:

0 on the inside so use inside scale

50o

0 on the outside so use outside scale

67o

Measure the angle below:

Draw an angle of 110º:

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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, 9, 10

Median = 6.5Work 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

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1)

2)

Draw the nets of the following solids:

(a) (b) (c)

Convert the following:(a) 5kg to pounds

x5 x511lbs

(b) 30miles to kilometres

x6 x648km

(c) 6gallons to litres

x8 x836litres

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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 £305

9of €72

÷

x

÷

x

= €40

Put these fractions in order with smallest first.

x3

x3

x2

x2

5)(a)

(b)

2

x+