About this preparation
Хочу зробити діагностичний тест з математики для учня Edison Thomas, 11 клас, на 55 хвилин, середньої складності. Потрібно зосередитися на simplifing expressions gcse maths.
Reid Rachel
Preparation author
Diagnostic tasks
Below is the full list of tasks with correct answers and explanations. In a lesson the tutor can hide the answers and reveal them after the student tries.
1
Simplify: 3x + 5x
8x
15x
8
2x
Explanation: Like terms can be added: 3x + 5x = 8x.
2
Simplify: 7a - 2a + 4
5a + 4
9a
5a - 4
7a + 2a + 4
Explanation: Combine the like terms 7a and -2a to get 5a, then keep the constant 4.
3
Simplify: 4m + 3n - 2m + n
2m + 4n
6mn
6m + 4n
2m + 2n
Explanation: Collect like terms: 4m - 2m = 2m and 3n + n = 4n.
4
Expand and simplify: 2(x + 5)
2x + 10
x + 10
2x + 5
x + 5
Explanation: Multiply both terms inside the bracket by 2: 2x + 10.
5
Expand and simplify: 3(2y - 4)
6y - 12
6y - 4
5y - 12
3y - 12
Explanation: Distribute 3 across the bracket: 3 × 2y = 6y and 3 × -4 = -12.
6
Simplify: 5p - 2(3p - 1)
-p + 2
11p - 2
p - 2
-p - 2
Explanation: First expand the bracket: 5p - 6p + 2. Then combine like terms to get -p + 2.
7
Factorise: 6x + 12
6(x + 2)
3(x + 4)
2(x + 6)
12(x + 1)
Explanation: Take out the common factor 6: 6x + 12 = 6(x + 2).
8
Simplify: 2a + 3b - a + 5b
a + 8b
5a + 8b
a + 2b
3a + 2b
Explanation: Collect like terms: 2a - a = a and 3b + 5b = 8b.
9
Simplify: 4(x - 3) + 2x
6x - 12
6x - 3
2x - 12
4x - 6
Explanation: Expand first: 4x - 12 + 2x. Then combine like terms to get 6x - 12.
10
If x = 2, what is the value of 3x + 4?
10
6
8
12
Explanation: Substitute x = 2: 3(2) + 4 = 6 + 4 = 10.
