Higher level maths for a year 7 in the UK

Question 1

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

Answer 1

3.14

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 formula for the area of a rectangle?

Answer 3

Length × Width

Question 4

Solve for x: 2x + 5 = 15.

Answer 4

x = 5

Question 5

What is the next prime number after 7?

Answer 5

11

Question 6

Fill in the blank: The circumference of a circle is calculated using the formula ______.

Answer 6

2πr

Question 7

What is the Pythagorean theorem?

Answer 7

a² + b² = c²

Question 8

What is 25% of 200?

Answer 8

50

Question 9

True or False: A square is a type of rectangle.

Answer 9

True

Question 10

What is the mode of the following set of numbers: 2, 3, 4, 4, 5?

Answer 10

4

Question 11

What is 6²?

Answer 11

36

Question 12

What is the formula for the volume of a cube?

Answer 12

s³ (where s is the length of a side)

Question 13

If a triangle has sides of length 3, 4, and 5, is it a right triangle?

Answer 13

Yes

Question 14

What do you call a polygon with eight sides?

Answer 14

Octagon

Question 15

How many degrees are in a straight angle?

Answer 15

180 degrees

Question 16

What is the formula for the area of a triangle?

Answer 16

0.5 × base × height

Question 17

What is the least common multiple (LCM) of 4 and 6?

Answer 17

12

Question 18

Round 7.456 to one decimal place.

Answer 18

7.5

Question 19

What is 15% of 60?

Answer 19

9

Question 20

True or False: The product of any number and zero is zero.

Answer 20

True

Question 21

What is the derivative of x²?

Answer 21

2x

Question 22

What is the next term in the sequence: 2, 4, 8, 16?

Answer 22

32

Question 23

What is the greatest common factor (GCF) of 12 and 18?

Answer 23

6

Question 24

What is the sum of the interior angles of a hexagon?

Answer 24

720 degrees

Question 25

What is the formula for the perimeter of a rectangle?

Answer 25

2 × (Length + Width)

Question 26

What is the value of 3³?

Answer 26

27

Question 27

What is a prime number?

Answer 27

A number greater than 1 that has no positive divisors other than 1 and itself.

Question 28

How many faces does a cube have?

Answer 28

6

Question 29

What is the median of the following set of numbers: 1, 3, 3, 6, 7, 8, 9?

Answer 29

6

Question 30

What is the area of a circle with a radius of 3?

Answer 30

28.27 (using π ≈ 3.14)

Question 31

What is the value of 2 to the power of 5?

Answer 31

32

Question 32

What is a chord in a circle?

Answer 32

A line segment whose endpoints lie on the circle.

Question 33

What is the formula for converting Celsius to Fahrenheit?

Answer 33

F = (C × 9/5) + 32

Question 34

What is the slope of a line that rises 3 units for every 2 units it runs?

Answer 34

3/2

Question 35

True or False: The square root of 64 is 8.

Answer 35

True

Question 36

What does the term 'hypotenuse' refer to in a right triangle?

Answer 36

The longest side opposite the right angle.

Question 37

What is the sum of 7 and 8?

Answer 37

15

Question 38

What is the distance formula between two points (x₁, y₁) and (x₂, y₂)?

Answer 38

√((x₂ - x₁)² + (y₂ - y₁)²)

Question 39

What is 40 divided by 5?

Answer 39

8

Question 40

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

Answer 40

2πr(h + r)

Question 41

What is a factorial?

Answer 41

The product of all positive integers up to a given number n, denoted as n!.

Question 42

What is the formula for the quadratic equation?

Answer 42

ax² + bx + c = 0

Question 43

What is the probability of rolling a 3 on a standard six-sided die?

Answer 43

1/6

Question 44

Fill in the blank: The sum of the first n natural numbers is ______.

Answer 44

n(n + 1)/2

Question 45

What is the relationship between the sides of a 30-60-90 triangle?

Answer 45

The sides are in the ratio 1:√3:2.

Question 46

What is the value of 5 factorial (5!)?

Answer 46

120

Question 47

What is the formula for the area of a trapezoid?

Answer 47

0.5 × (base1 + base2) × height