Maths question for gcse, Exercises of Mathematics

Yearr 11 gcse maths questions, that will help you ace ur maths exam.

Typology: Exercises

2023/2024

Uploaded on 11/15/2024

alan-thomas-3
alan-thomas-3 🇬🇧

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Algebra
1. Solve for
xx
x:
2.
6(x−4)+3=2(3x+1)6(x - 4) + 3 = 2(3x + 1)
6(x−4)+3=2(3x+1)
3. Factorize:
x2−9x+14x^2 - 9x + 14
x2−9x+14
Geometry
3. Calculate the volume of a cone with a radius of 3 cm and height of
9 cm. (Use
π≈3.14\pi \approx 3.14
π≈3.14)
4. Find the perimeter of a rectangle with length 15 cm and width 8
cm.
Trigonometry
5. Find
sin θ\sin \theta
sinθ if
cos θ=1213\cos \theta = \frac{12}
{13}
cosθ=1312 and
θ\theta
θ is in the first quadrant.
Fractions
6. Subtract and simplify:
710−38\frac{7}{10} - \frac{3}{8}
107 −83
Percentages
7. A computer costs $500, but with a 10% tax, the price increases. What
is the final price with tax?
Probability
8. What is the probability of getting a sum of 7 when rolling two six-
sided dice?
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Algebra

1. Solve for xx x:

  1. 6(x−4)+3=2(3x+1)6(x - 4) + 3 = 2(3x + 1)6(x−4)+3=2(3x+1) 3. Factorize: x2−9x+14x^2 - 9x + 14x2−9x+

Geometry

  1. Calculate the volume of a cone with a radius of 3 cm and height of 9 cm. (Use π≈3.14\pi \approx 3.14π≈3.14)
  2. Find the perimeter of a rectangle with length 15 cm and width 8 cm.

Trigonometry

  1. Find sinθ\sin \theta sinθ if cosθ=1213\cos \theta = \frac{12} {13}cosθ=1312 and θ\thetaθ is in the first quadrant.

Fractions

  1. Subtract and simplify: 710−38\frac{7}{10} - \frac{3}{8}107 −

Percentages

7. A computer costs $500, but with a 10% tax, the price increases. What is the final price with tax?

Probability

  1. What is the probability of getting a sum of 7 when rolling two six- sided dice?

Calculus (for advanced practice)

  1. Evaluate the definite integral: ∫13(2x+1) dx\int_{1}^{3} (2x + 1) , dx∫13 (2x+1)dx

Sequences

  1. Find the sum of the first 6 terms of a geometric sequence where the first term a=3a = 3a=3 and the common ratio r=2r = 2r=2.