Radicals
Converse of Pythagoras' Theorem
Word Problems
Miscellaneous
Patterns
100

What is 

(sqrt20)^2?

20

100

A triangle has side lengths of 2cm, 3cm and 4cm. Is it a right angled triangle?

No.

100

Shane marched 3 m east and 6 m north. How far is he from his starting point? (2 d.p)

6.70m

100

Which of the following is Pythagoras' Formula, c2 = a2 + b2 OR a2+b2 = c2?

Both!

100

What is the missing number in the pattern 1, 2, 4, 8, ..., 32?

16

200

What is the simplest form of 

sqrt200?

10sqrt2

200

A triangle has side lengths of 3cm, 7cm and 9cm. Is it a right angled triangle?

No.

200

A 3.5m ladder is leaning against the side of a building and is positioned such that the base of the ladder is 2.1m from the base of the building. How far above the ground is the point where the ladder touches the building?

2.8m

200

Find

x

 if

x^2=40

 (1 d.p)

+-6.3

200

Riley planted a flower garden with 3 rows. Each row had 6 plants in it. Write a multiplication number sentence to show how many plants were in Riley's garden.

3xx6=18

300

What is 

2xxsqrt20xxsqrt5?

20

300

A triangle has side lengths of 8cm, 15cm and 17cm. Is it a right angled triangle?

Yes.

300

A man travels north east for 8km. Then South for 6km until he is due east from his starting point. How far from his starting point is the man? (1 d.p)

5.3km

300

If c2 does in fact equal a2 + b2, what does it tell us about the lengths of the triangle?

The lengths form a right angled triangle

300

Katie was painting flowers for her mom. On Monday she painted two red, three white and four blue flowers. Each day she doubled the amount of each color of flower. How many flowers of each color did Katie paint on Thursday?

16 red, 24 white and 32 blue.

400

What are the solutions of the equation 

3x^2=x^2+200

x=+-10

400

A triangle has side lengths of

sqrt3cm,

sqrt5cm and

2sqrt2cm.

Is it a right angled triangle?

Yes. 

400

A square has side lengths of 7cm. What is the length of the diagonal? (2 d.p)

9.90cm

400

True or false. Does a right angled triangle with side lengths of 9cm and 13cm have a hypotenuse of 16cm?

False.

400

Abby planted 4 rows of flowers. She planted 4 in the first row, 8 in the second row and 12 in the third row. If the pattern continues, how many flowers did she plant in the 40th row?

160 flowers

500

Solve for 

x:(x-2)^2=225

x=-13 or x=17

500

If you know the length of the hypotenuse and one side, do you use the formula where you add or subtract?

Subtract.

500

A pole 7.5 meters high and another pole 4.5 meters high, have a wire connecting their tops.  If the poles are 4 meters apart, how long is the wire?

5m long

500

Round the square root of 99.999 to 2 decimal places.

10.00

500

What is the missing number in the pattern 2, 5, 10, 17, ..., 37, 50?

26

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