PYTHAGOREAN THEOREM
SQUARES and ROOTS
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FIND THE MISSING SIDE
Problem Solving
Random Maths Questions
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100
What is Pythagoras' Theorem?
c2 = a2 + b2
100
What is 122
144
100
What is the length of x?
45cm
100
Find x as an exact value.
sqrt(89)
100
A quadrilateral has three angles: 90°, 85°, and 110°. What is the fourth angle?
75o
200
What is the name of the side opposite the right angle? (Spelling counts!)
Hypotenuse
200
Calculate sqrt(49)
7
200
a=10, b=24, c=?
c = 26
200
Calculate the perimeter of this shape to the nearest whole number.
49 cm
200
Fully simplify:
4x^2 x 2x
8x^3
300
True or false: when given the lengths of 2 sides of a triangle you can find the length of the third side.
False, right-angled triangles only!
300
What is the square root of -169
No solution!!
300
a2 + b2 = 36, c = ?
6
300
Find the perimeter of the triangle as an exact value.
33+ sqrt(165)
300
A shirt costs $40. It is reduced by 35%. What is the sale price?
$26
400
Name a pythagorean triad
Let's check!
400
Solve
x^2 = sqrt(121)
+-sqrt(121)=11 & -11
400
a= ? , b=35, c=37
a=12
400
A ladder is leaning against a vertical wall. The foot of the ladder is 5 m from the base of the wall, and the top of the ladder reaches 12 m up the wall.
How long is the ladder?
13 m
400
What is 55 squared?
3025
500
Prove whether a triangle with sides 5 cm, 11 cm and 12 cm is a right-angled triangle.
It's not, 146 does not equal 144
500
Estimate sqrt(71) to one decimal place
8.3 - 8.5
Actual answer = 8.426
500
If an isosceles triangle has a short side length of 4 cm, what is the length of the hypotenuse, to the nearest tenth?
5.7
500
Find the length a to the nearest whole number
21 cm
500
A bag has red and blue counters in the ratio 7:3. There are 20 more red counters than blue counters. How many counters are there altogether?
50