Maths Paper One Higher

Question 1

What is the formula for the area of a triangle?

Answer 1

Area = 1/2 * base * height

Question 2

True or False: The sum of the angles in a triangle is always 180 degrees.

Answer 2

True

Question 3

What is the Pythagorean theorem?

Answer 3

a² + b² = c², where c is the hypotenuse

Question 4

Fill in the blank: The quadratic formula is ___

Answer 4

x = (-b ± √(b² - 4ac)) / 2a

Question 5

What is the value of π (pi) to two decimal places?

Answer 5

3.14

Question 6

What does ‘mean’ refer to in statistics?

Answer 6

The average of a set of numbers.

Question 7

What is the formula for the circumference of a circle?

Answer 7

Circumference = 2πr

Question 8

True or False: A prime number has exactly two distinct positive divisors.

Answer 8

True

Question 9

What is the gradient of a line?

Answer 9

The slope of the line, calculated as rise/run.

Question 10

Fill in the blank: The formula for the volume of a cylinder is ___

Answer 10

Volume = πr²h

Question 11

What is the sine of a 90-degree angle?

Answer 11

1

Question 12

What is the definition of a function?

Answer 12

A relation where each input has exactly one output.

Question 13

What is the formula for the area of a rectangle?

Answer 13

Area = length * width

Question 14

True or False: The median is the middle value in a data set.

Answer 14

True

Question 15

What is the formula for converting Celsius to Fahrenheit?

Answer 15

F = (C × 9/5) + 32

Question 16

Fill in the blank: The derivative of a function represents ___

Answer 16

The rate of change of the function.

Question 17

What is 15% of 200?

Answer 17

30

Question 18

What does ‘mode’ refer to in statistics?

Answer 18

The value that appears most frequently in a data set.

Question 19

What is the formula for the area of a circle?

Answer 19

Area = πr²

Question 20

True or False: The product of two negative numbers is positive.

Answer 20

True

Question 21

What is the formula for the surface area of a sphere?

Answer 21

Surface Area = 4πr²

Question 22

Fill in the blank: The sum of an arithmetic series can be calculated using ___

Answer 22

S_n = n/2 * (a + l), where n is the number of terms, a is the first term, and l is the last term.

Question 23

What is the distance formula?

Answer 23

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

Question 24

What is the relationship between the sides of a 45-45-90 triangle?

Answer 24

The legs are equal, and the hypotenuse is √2 times the length of a leg.

Question 25

True or False: The coefficient of a variable is the number in front of it.

Answer 25

True

Question 26

What is the formula for calculating the probability of an event?

Answer 26

Probability = Number of favorable outcomes / Total number of outcomes

Question 27

Fill in the blank: The area of a trapezoid is calculated using ___

Answer 27

Area = 1/2 * (base1 + base2) * height

Question 28

What is a rational number?

Answer 28

A number that can be expressed as a fraction of two integers.

Question 29

What is the standard form of a linear equation?

Answer 29

Ax + By = C

Question 30

True or False: A circle is a type of ellipse.

Answer 30

True

Question 31

What is the formula for the volume of a cone?

Answer 31

Volume = 1/3 * πr²h

Question 32

Fill in the blank: The equation of a line in slope-intercept form is ___

Answer 32

y = mx + b, where m is the slope and b is the y-intercept.

Question 33

What is the definition of a composite number?

Answer 33

A positive integer that has at least one positive divisor other than one or itself.

Question 34

What is the formula for the area of a parallelogram?

Answer 34

Area = base * height

Question 35

What is the value of the square root of 64?

Answer 35

8

Question 36

True or False: The sum of the interior angles of a quadrilateral is 360 degrees.

Answer 36

True

Question 37

What does 'x-intercept' mean?

Answer 37

The point where a line crosses the x-axis.

Question 38

Fill in the blank: The factorial of n (n!) is defined as ___

Answer 38

n! = n × (n - 1) × (n - 2) × ... × 1

Question 39

What is the equation for a circle in standard form?

Answer 39

(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Question 40

What is the definition of an acute angle?

Answer 40

An angle that is less than 90 degrees.

Question 41

True or False: A function can have multiple outputs for a single input.

Answer 41

False

Question 42

What is the formula for the total surface area of a rectangular prism?

Answer 42

Total Surface Area = 2lw + 2lh + 2wh

Question 43

Fill in the blank: The formula for the slope of a line is ___

Answer 43

m = (y₂ - y₁) / (x₂ - x₁)

Question 44

What is the definition of a right angle?

Answer 44

An angle that is exactly 90 degrees.