Transcript Grade F linear starters

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