Lesson 2.10
2.10 Use and manipulation of formulae and expressions Quiz: AQA Further Maths, Unit 2
20 questions
In partnership with Revision Ninja
Lesson 2.10, Use and manipulation of formulae and expressions: 20 multiple choice questions for the AQA GCSE Further Maths (8365), Unit 2: Algebra, written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
Make x the subject of y = 3x + 4.
- x = (y + 4)/3
- x = y/3 − 4
- x = (y − 4)/3
- x = 3(y − 4)
-
In the formula v = u + at, which variable is the subject?
- t
- u
- a
- v
-
In the formula C = 2πr, make r the subject.
- r = C/π
- r = 2πC
- r = C/(2π)
- r = C − 2π
-
Make x the subject of y = x^2 + 3 (taking the positive root).
- x = y^2 − 3
- x = √(y − 3)
- x = (y − 3)^2
- x = √(y + 3)
-
Use v = u + at with u = 2, a = 3 and t = 4. What is v?
- 10
- 24
- 14
- 20
-
Make t the subject of s = (u + v)t/2.
- t = 2s/(u + v)
- t = (u + v)/(2s)
- t = s/(2(u + v))
- t = 2s − (u + v)
-
Rearrange 1/f = 1/u + 1/v to make v the subject.
- v = f/(u − f)
- v = (u − f)/(uf)
- v = uf/(u − f)
- v = uf/(u + f)
-
Given P = 2l + 2w, make w the subject.
- w = (P − l)/2
- w = P/2 + l
- w = 2P − l
- w = P/2 − l
-
Rearrange y = (x − 3)/(x + 2) to make x the subject.
- x = (2y + 3)/(1 − y)
- x = (2y + 3)/(y − 1)
- x = (3 + 2y)/(y + 1)
- x = (2y − 3)/(1 − y)
-
Given v = u + at, make t the subject.
- t = a(v − u)
- t = (v + u)/a
- t = (v − u)/a
- t = (u − v)/a
-
The area of a trapezium is A = (a + b)h/2. Find h when A = 30, a = 4 and b = 8.
- 10
- 3.75
- 7.5
- 5
-
The kinetic energy of an object is E = ½mv^2. Find v when E = 50 and m = 4.
- 25
- 10
- 12.5
- 5
-
The period is T = 2π√(L/g). Make L the subject.
- L = 2πgT^2
- L = gT^2/(4π^2)
- L = T^2/(4π^2g)
- L = 4π^2T^2/g
-
Evaluate x = (a + b)/(c − d) when a = 3, b = 5, c = 6 and d = 2.
- 4
- 2
- 8
- 1/2
-
Rearrange 3(x − y) = 2x + y to make x the subject.
- x = y/4
- x = 4y
- x = −4y
- x = 2y
-
Make s the subject of v^2 = u^2 + 2as.
- s = (u^2 − v^2)/(2a)
- s = (v^2 + u^2)/(2a)
- s = (v − u)^2/(2a)
- s = (v^2 − u^2)/(2a)
-
Given y = (2x + 1)/(x − 3) and y = 3, what is x?
- 6
- −10
- 4
- 10
-
Make y the subject of x^2 + y^2 = r^2.
- y = √(r^2 + x^2)
- y = r^2 − x^2
- y = (r − x)^2
- y = ±√(r^2 − x^2)
-
Make x the subject of y = (x + a)/(x − a).
- x = (ay + 1)/(y − 1)
- x = a(y + 1)/(y − 1)
- x = a(y − 1)/(y + 1)
- x = a(y + 1)/(1 − y)
-
Given P = a/(b + c), make c the subject.
- c = Pa − b
- c = (a − bP)/P
- c = a/(P − b)
- c = (a + bP)/P
Related quizzes
- The basic processes of algebra Quiz · 2.1 · 20 questions
- Definition of a function Quiz · 2.2 · 20 questions
- Domain and range of a function Quiz · 2.3 · 20 questions
- Composite functions Quiz · 2.4 · 20 questions
- Inverse functions Quiz · 2.5 · 20 questions
- Expanding brackets and collecting like terms Quiz · 2.6 · 20 questions
- Expand (a + b)^n for positive integer n Quiz · 2.7 · 20 questions
- Factorising Quiz · 2.8 · 20 questions
- Manipulation of rational expressions: Use of + – × ÷ for algebraic fractions with denominators being numeric, linear or quadratic Quiz · 2.9 · 20 questions
- Use of the factor theorem for rational values of the variable for polynomials Quiz · 2.11 · 20 questions