AQA A LEVEL MATHS PAPER 1 | REVISON
QUESTIONS AND ANSWERS | A+ GRADED |
COMPLETE STUDYGUIDE 2026/2027
Question 1. Which expression is equivalent to (3(2x-5)-2(x+4))?
A. (4x-23)
B. (4x-7)
C. (8x-23)
D. (4x-1)
RATIONALE: Expanding the brackets gives (6x-15-2x-8). Collecting like terms produces (4x-23).
Question 2. A function is defined by (f(x)=2x^2-3x+1). What is the value of (f(-2))?
A. (-13)
B. (3)
C. (15)
D. (11)
RATIONALE: Substituting (x=-2) gives (2(-2)^2-3(-2)+1=8+6+1=15).
Question 3. Solve the equation (5x-7=3x+9).
A. (x=1)
B. (x=8)
C. (x=-8)
D. (x=16)
RATIONALE: Subtracting (3x) from both sides and adding 7 gives (2x=16), so (x=8).
Question 4. The quadratic equation (x^2-7x+12=0) has two real roots. What are the roots?
,A. (x=-3) and (x=-4)
B. (x=2) and (x=6)
C. (x=-2) and (x=-6)
D. (x=3) and (x=4)
RATIONALE: The quadratic factorises as ((x-3)(x-4)=0), giving (x=3) or (x=4).
Question 5. A student simplifies (\frac{x^5}{x^2}), where (x\neq0). Which expression is
correct?
A. (x^3)
B. (x^{10})
C. (x^{7})
D. (x^{2.5})
RATIONALE: When dividing powers with the same non-zero base, subtract the indices:
(x^5/x^2=x^{5-2}=x^3).
Question 6. The straight line (y=4x-6) intersects the (y)-axis at which point?
A. ((6,0))
B. ((0,4))
C. ((0,-6))
D. ((-6,0))
RATIONALE: At the (y)-axis, (x=0). Substitution gives (y=4(0)-6=-6).
Question 7. Solve the inequality (3x+2<14).
A. (x>4)
B. (x<4)
C. (x<\frac{16}{3})
D. (x>-!4)
QUESTIONS AND ANSWERS | A+ GRADED |
COMPLETE STUDYGUIDE 2026/2027
Question 1. Which expression is equivalent to (3(2x-5)-2(x+4))?
A. (4x-23)
B. (4x-7)
C. (8x-23)
D. (4x-1)
RATIONALE: Expanding the brackets gives (6x-15-2x-8). Collecting like terms produces (4x-23).
Question 2. A function is defined by (f(x)=2x^2-3x+1). What is the value of (f(-2))?
A. (-13)
B. (3)
C. (15)
D. (11)
RATIONALE: Substituting (x=-2) gives (2(-2)^2-3(-2)+1=8+6+1=15).
Question 3. Solve the equation (5x-7=3x+9).
A. (x=1)
B. (x=8)
C. (x=-8)
D. (x=16)
RATIONALE: Subtracting (3x) from both sides and adding 7 gives (2x=16), so (x=8).
Question 4. The quadratic equation (x^2-7x+12=0) has two real roots. What are the roots?
,A. (x=-3) and (x=-4)
B. (x=2) and (x=6)
C. (x=-2) and (x=-6)
D. (x=3) and (x=4)
RATIONALE: The quadratic factorises as ((x-3)(x-4)=0), giving (x=3) or (x=4).
Question 5. A student simplifies (\frac{x^5}{x^2}), where (x\neq0). Which expression is
correct?
A. (x^3)
B. (x^{10})
C. (x^{7})
D. (x^{2.5})
RATIONALE: When dividing powers with the same non-zero base, subtract the indices:
(x^5/x^2=x^{5-2}=x^3).
Question 6. The straight line (y=4x-6) intersects the (y)-axis at which point?
A. ((6,0))
B. ((0,4))
C. ((0,-6))
D. ((-6,0))
RATIONALE: At the (y)-axis, (x=0). Substitution gives (y=4(0)-6=-6).
Question 7. Solve the inequality (3x+2<14).
A. (x>4)
B. (x<4)
C. (x<\frac{16}{3})
D. (x>-!4)
