PYTHAGOREAN THEOREM
SQUARES and SQUARE ROOTS (No Calculator)
FIND THE MISSING SIDE
Random Maths Questions
WORD PROBLEMS + MISC.
100
What is the Pythagorean Theorem?
c2 = a2 + b2
100
What is 12 cm squared?
144 cm2
100
a=10, b=24, c=?
c = 26
100
Calculate, without using a calculator:
5/6
100
Janice is flying a kite. The height of the kite is 37.7 m and she is positioned 40 m away from beneath the kite. About how long is the kite? Answer to nearest metre.
50 m
200
Which side of the right triangle is the longest - a, b, or c?
C
200
What is the square root of 49 km2?
7 km
200
What is the length of x?
45
200
What is the gradient of this line?
3/2
200
A TV is 26 inches long by 23 in tall, how big is the screen diagonal? To the nearest inch
35 in
300
What types of triangles does the Pythagorean Theorem work with?
RIGHT TRIANGLES ONLY
300
What is 20 cm. squared?
400 cm2
300
What is the length of the unknown side, to the nearest tenth, if the two shorter sides are 1.8 and 4?
4.4
300
At a school fundraising event, people can buy a ticket to spin a spinner like the one below. The region that the spinner lands in tells which, if any, prize the person wins.
If 240 people buy tickets to spin the spinner, what is the best estimate of the number of keychains that will be given away?
80
300
The measurements of a triangle are 12, 35, 37. Is this a RIGHT TRIANGLE? Provide mathematical reasoning for your answer.
YES, 122+352=372
400
What is the name of the side opposite the right angle?
HYPOTENUSE
400
What is the square root of 1000 sq. metres?
10 m (metres)
400
a= ? , b=35, c=37
a=12
400
Calculate (without using a calculator):
46 X 12 =
552
400
A distance between bases in a baseball field is 90m. The catcher wants to throw the baseball to second base, how far does he need to throw it (nearest tenth)?
127.3 m
500
Draw and label a triangle with the measurements 3, 4, and 5.
LEGS = 3, 4
HYPOTENUSE = 5
500
Estimate the square root of 80 sq. millimetres.
9 mm
500
If the two shorter sides of a right triangle are 4, what is the length of the third side, to the nearest tenth?
5.7
500
Evaluate:
2-3
1/8
500
Give one example of how the Pythagorean Theorem is used in the real world.
Baseball – how far a catcher has to throw a ball to second base What kind of ladder you need to get to your roof Height of a building Ramp of a moving truck (ramps in general) Measurement of a TV Distance – shortest distance from one place to another Floorplans - Computers and Satellites use PT (and trigonometry) to locate any place on earth now.