Drawing Other Graphs: Cubic/Reciprocal: Foundation Tier Practice - Worksheets, Questions and Revision

13 original exam-style questions - 3 pages of questions with a full mark scheme - free printable PDF.

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5.10F Drawing Other Graphs: Cubic/Reciprocal: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 40 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Work out the value of y when y = x3 and x = 2.
(Total for Question 1 is 1 mark)
2
Complete the table for y = x3. Give values for the missing entries.
(a)x = -2, y = ____(1)
(b)x = 1, y = ____(1)
(Total for Question 2 is 2 marks)
3
Work out the value of y when y = 1/x and x = 4.
(Total for Question 3 is 1 mark)
4
Complete the table for y = 1/x. Give exact values as fractions where appropriate.
(a)x = -2, y = ____(1)
(b)x = 1, y = ____(1)
(Total for Question 4 is 2 marks)
5
Solve the equation x3 = 27. Give the value of x.
(Total for Question 5 is 1 mark)
6
Solve the equation x3 - 8 = 0. Give the value of x.
(Total for Question 6 is 1 mark)
7
Work out the value of x when y = 1/x and y = 1/3.
(Total for Question 7 is 1 mark)
8
For x = 1 and x = 2, calculate the values of y for both y = x3 and y = 1/x. Then state which graph has the larger y-value at x = 2.
(Total for Question 8 is 3 marks)
9
Describe in words how the graph of y = (x - 1)3 is related to the graph of y = x3. Give the translation only.
(Total for Question 9 is 1 mark)
10
A student draws the graph of y = 1/x and writes 'the graph crosses the x-axis at x = 0'. Is the student correct? Give a short reason.
(Total for Question 10 is 2 marks)
11
Work out the value of y for y = x3 when x = -1 and when x = 3.
(a)x = -1, y = ____(1)
(b)x = 3, y = ____(1)
(Total for Question 11 is 2 marks)
12
Work out the value of y for y = 1/x when x = 5 and when x = -5. Give exact values as fractions or decimals.
(a)x = 5, y = ____(1)
(b)x = -5, y = ____(1)
(Total for Question 12 is 2 marks)
13
The graph of y = x3 + 2 is a translation of the graph y = x3.
(a) Describe the translation.
(b) Write down the y-intercept of y = x3 + 2.
(a)Describe the translation.(1)
(b)Write down the y-intercept of y = x3 + 2.(1)
(Total for Question 13 is 2 marks)
Mark scheme · 5.10F Drawing Other Graphs: Cubic/Reciprocal: Foundation Tier Practice

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13