Showing
7
question(s) for
UK Class 9
—
Subject:
Mathematics
Mathematics
Q1.
Solve the equation 5x - 7 = 3x + 11.
Answer:
Subtract 3x from both sides to get 2x - 7 = 11. Add 7 to both sides to get 2x = 18. Therefore x = 9.
Mathematics
Q2.
Expand and simplify (x + 4)(x - 3).
Answer:
Multiplying the terms gives x² - 3x + 4x - 12. Therefore the simplified expression is x² + x - 12.
Mathematics
Q3.
What is Pythagoras' theorem?
Answer:
In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides, written as a² + b² = c².
Mathematics
Q4.
A right-angled triangle has shorter sides of 6 cm and 8 cm. Find the hypotenuse.
Answer:
Using Pythagoras' theorem, c² = 6² + 8² = 36 + 64 = 100. Therefore c = 10 cm.
Mathematics
Q5.
What is a quadratic expression?
Answer:
A quadratic expression is an algebraic expression whose highest power of the variable is 2, such as x² + 5x + 6.
Mathematics
Q6.
What does the gradient of a straight-line graph represent?
Answer:
The gradient represents the rate at which one variable changes compared with another. It is calculated as change in y divided by change in x.
Mathematics
Q7.
What is the probability of an event that is certain to occur?
Answer:
The probability of a certain event is 1, or 100%.