Download 1. (a) Find the value of 3x + 5y when x = –2 and y = 4

1.
(a)
Find the value of 3x + 5y when x = –2 and y = 4
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Answer ..................................................................
(2)
(b)
Find the value of 3a2 + 5 when a = 4
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Answer ..................................................................
(2)
(c)
k is an even number.
1
Jo says that k + 1 is always even.
2
Give an example to show that Jo is wrong.
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(1)
(d)
The letters a and b represent prime numbers. Give an example to show that a + b is not
always an even number.
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(1)
(Total 6 marks)
2.
On the grid below, draw the graph of y = 7 – x for values of x from 0 to 7.
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The Robert Smyth School
1
y
7
6
5
4
3
2
1
0
0
1
2
3
4
5
6
7
x
(Total 3 marks)
The Robert Smyth School
2
3.
On the grid draw the graph of y = 2x + 1 for values of x from 0 to 5.
y
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
2
3
4
5
x
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(Total 3 marks)
The Robert Smyth School
3
4.
(a)
On the grid below, draw the graph of y = 2x – 3 for values of x from –2 to +3.
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y
3
2
1
–2
–1
O
1
2
3
x
–1
–2
–3
–4
–5
–6
–7
(3)
(b)
The line y = 2 crosses y = 2x – 3 at P.
Write down the coordinates of P.
Answer ( .................. , .................. )
(1)
(Total 4 marks)
The Robert Smyth School
4
5.
On the grid below draw the graph of y = 3x – 1 for values of x from 0 to 5.
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y
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
2
3
4
5
x
–1
(Total 3 marks)
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5
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6
6.
The line y = –3 crosses the line y = x – 2 at the point P.
What are the coordinates of P?
You may use the grid below if you wish.
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y
6
5
4
3
2
1
–6
–5
–4
–3
–2
–1 O
–1
1
2
3
4
5
6
x
–2
–3
–4
–5
–6
Answer (.............................., ..............................)
(Total 3 marks)
The Robert Smyth School
7
1.
(a)
3 × (–2) + 20
–6 seen
M1
14
A1
(b)
3 × 16 + 5
M1
(c)
53
Any k which is a multiple of 4
eg 1 1 2 × 4 + 1 (= 3) or
A1
B1
1
2
4+1
eg 2 K = 8
(d)
Sum of 2 + any other prime
nb 1 is not prime: 1 + 2 = 3 B0
B1
[6]
2.
2 plots from: (0,7) (1,6) (2, 5)
(3, 4) (4, 3) (5, 2) (6, 1) (7, 0)
All ± 1 mm
B1 for 1 correct plot
B2
Straight line (from 0 to 7) through correct plots ± 1 mm
B1
[3]
3.
Graph passing through (0, 1)
1 correct point plotted or worked
B1
Graph with a gradient of 2
3 correct points plotted or worked
B1
Graph from (0, 1) to (5, 11)
B1
[3]
4.
(a)
Any correct plot from this list: (–2, –7)(–1, –5)(0, –3)(1, –1) (2, 1)(3, 3)
M1
Second correct plot
M1
Correct line
A1
From –2 to +3
y = 2x
y = 2x – 3
both drawn
but 2x – 3 not indicated
(b)
SC1
(2.5, 2)
B1 ft
ft from their line
[4]
5.
Graph passing through (0,1)
1 correct point plotted or worked eg
(0,–1) (1, 2) (2, 5) (3, 8) (4, 11) (5, 14)
B1
Graph with a gradient of 3
2 further correct points plotted or worked
B1
Line from (0,–1) to (5, 14) with no errors
Freehand line to ½ square accuracy
B1
[3]
The Robert Smyth School
8
The Robert Smyth School
9
6.
y=x–2
B1
Correct line drawn or table with 3 values correct
Or – 3 = x – 2
y=–3
B1
Correct line drawn or coordinate at y = – 3 identified or table includes (-1, – 3)
Or x = – 1
(–1, –3)
B1ft
ft their lines not in 1st quadrant
Mark method (using either lines or tables or equation)
that gives the best score. Do not mix methods.
[3]
The Robert Smyth School
10