Evaluating: Mixed Review

Mathematics
GCSE Higher
16 questions
~32 mins
1 views0 downloads

About This Worksheet

A worksheet providing a mixed review on evaluating functions in algebra, suitable for GCSE Higher students. Covers procedural questions, problem solving, real-world contexts, challenges, and error analysis.

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Full preview • 16 questions

Evaluating: Mixed Review

Subject: MathematicsGrade: GCSE Higher
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Date:
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Given that f(x) = 3x + 2, evaluate f(4).
[2 marks]
2.
If g(x) = x^2 - 5x + 6, find g(3).
[2 marks]
3.
Calculate f(-2) for f(x) = 2x^2 - x.
[2 marks]
4.
Evaluate g(0) where g(x) = 4x - 7.
[2 marks]
5.
Given f(x) = x^3 - 2x, find f(2).
[2 marks]
6.
Evaluate f(x) = 2x + 5 at x = -3.
[2 marks]
7.
If h(x) = 5 - x^2, find h(2).
[2 marks]
8.
Calculate f(0) for f(x) = x^2 + 4x + 1.
[2 marks]
9.
Evaluate the function g(x) = 3x - 4 at x = 5.
[2 marks]
10.
Given f(x) = x/2 + 1, find f(10).
[2 marks]
11.
Construct a graph of y = x^2 for x values from -3 to 3. (Draw on grid)
[4 marks]
12.
Construct a triangle with sides of lengths 3, 4, and 5. (Draw on grid)
[4 marks]
13.
Plot the points (1,2), (3,4), and (5,6) and determine if they are collinear.
[4 marks]
14.
A function f(x) is evaluated at x=2: f(2) = 3(2) + 4. Find the value and explain any common mistake students might make.
[4 marks]
15.
If f(x) = 2x + 3 and g(x) = x^2 - 1, evaluate f(g(2)).
[4 marks]
16.
Identify and correct the mistake: The student evaluates f(3) where f(x) = x^2 + 2x as 9 + 6 = 15, but the answer given is 12.
[4 marks]

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What is Remix?

Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet