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WorksheetsYear 10 Unit 12
Total questions: 19
Worksheet time: 12mins
What is the adjacent side in a right-angled triangle?
The longest side
The side opposite a given angle
The side next to a marked angle
The side opposite the right angle
In a right-angled triangle, what is the cosine (cos) of an angle?
The ratio of the length of the opposite side to the hypotenuse
The ratio of the length of the adjacent side to the hypotenuse
The ratio of the hypotenuse to the adjacent side
The ratio of the opposite side to the adjacent side
What is the cosine rule used for?
To find the value of sin or cos
To find unknown sides and angles in any triangle
To calculate the hypotenuse
To find the area of a triangle
What is the hypotenuse in a right-angled triangle?
The shortest side
The longest side
The side opposite the right angle
The side next to the right angle
What does the opposite side refer to in a right-angled triangle?
The side adjacent to the marked angle
The side opposite the right angle
The side across from a given angle
The hypotenuse
What does Pythagoras' theorem state?
The sum of all angles in a triangle equals 180°
The square of the hypotenuse is equal to the sum of the squares of the other two sides
The area of a triangle is half the base times the height
The perimeter of a triangle is the sum of all its sides
What is the Pythagorean theorem?
The square of the length of the hypotenuse equals the sum of the squares of the other two sides
The square of the length of the hypotenuse equals the sum of the squares of the other two sides
The ratio of opposite to adjacent sides is constant
The hypotenuse is always twice the length of the adjacent side
What is a right-angled triangle?
A triangle with two equal sides
A triangle containing a right angle
A triangle where all angles are less than 90°
A triangle with all sides of equal length
In a right-angled triangle, what is the sine (sin) of an angle?
The ratio of the opposite side to the hypotenuse
The ratio of the adjacent side to the hypotenuse
The ratio of the opposite side to the adjacent side
The ratio of the hypotenuse to the opposite side
What is the sine rule used for?
To find the value of sin or cos
To calculate the area of a triangle
To find the size of an angle or the length of a side in any triangle
To find the hypotenuse of a right-angled triangle
What is a square number?
The result of dividing a number by itself
The result of multiplying a number by itself
A number that can be written as the sum of two squares
The opposite of a square root
What is a square root?
In a right-angled triangle, what is the tangent (tan) of an angle?
The ratio of the opposite side to the hypotenuse
The ratio of the opposite side to the adjacent side
The ratio of the adjacent side to the hypotenuse
The ratio of the hypotenuse to the opposite side
What is trigonometry?
The study of the relationships between the sides and angles of polygons
The study of angles and their complements
The study of the relationships between the sides and angles of triangles
The study of the areas of triangles
What is the value of tan 45°?
0
1/2
1
√3/2
What is the value of sin 30°?
1
√3/2
1/2
0
What is the value of cos 30°?
(a)
What is the value of cos 30°?
1
√3/2
1/2
0
What is the value of sin 0°?
1
1/2
0
√3/2
