Junior Right Angled Triangle Revision

Yr 10 Right Angled Triangle Revision

By Lynley MacEwan

Remember to count as many digits as you want.

Look at the next digit, if it is 5 or more, then add 1 to the number before, otherwise it leave as is.

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Watch the video on the next slide if you need to :)​

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​Rounding to sig figs or dps

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​2 d.p. count from the decimal point

​2 sig fig. Count from the first non zero digit.

Multiple Choice

What is 3.4550 rounded to 1 decimal place?

• 3.4
• 3.5
• 3
• 3.46

Multiple Choice

What is 12.99 rounded to 1 decimal place?

• 13
• 13.0
• 12.9
• 12.10

Multiple Choice

Round 0.010229 to four sig figs

• 1022
• 1023
• 0.01023
• 0.01022

Multiple Choice

Round 1047.78 to three sig figs

• 104
• 105
• 1050
• 1050.00

Multiple Choice

Tyler says 753 rounds to 800.  Alexis says 753 rounds to 750.  Who is correct?

• Tyler
• Alexis
• Both of them are right, it depends on whether you are rounding to the nearest ten or hundred
• Neither of them are right

Multiple Choice

Which of these numbers does not round to 0.50 to 2 decimal places?

• 0.491
• 0.4956
• 0.5012
• 0.503

The rules for this are

1. only 1 non zero digit in front of the dec. pt.

2. x 10 always

3. power keep the size​​

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Scientific Notation

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​Remember

• Positive power means big number

• Negative power means small number​

Multiple Choice

Which of the following is correct scientific notation or standard form?

• 20.35 x 10⁴
• .2035 x 10⁴
• 2035 ⁴
• 2.035 x10⁴

Multiple Choice

Express the following in scientific notation/ standard form:

0.000457

• 457 x 10⁶
• 457 x 10^-6
• 4.57 x10⁴
• 4.57 x 10^-4

Multiple Choice

How would you write 4.3756 x 10⁴ in ordinary for form?

• 437,560,000
• 0.00043756
• 4375.6

• 43756

Multiple Choice

How would you write 5.6 x 10^-3 in ordinary form?

• 0.05

• 5,600

• 0.00056
• 0.0056

Multiple Choice

How would you write 0.0005 in scientific notation/standard form?

• 50 x 10^-5

• 5.0 x 10^-4

• 5.0 x 10^-3

• 0.5 x 10^-3

Multiple Choice

Express the following in scientific notation/standard form: 10,030,400,000

• 1.00304 x 10⁹
• 1.00304 x 10¹⁰
• 1.00403 x 10¹⁰
• 1.00304 x10^-10

Pythagoras' Theorem

• Look at the example.

• Remember you must show your working

• Answer should have units and accuracy​

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​Pythagoras' Theorem to find a hypotenuse

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​Do the next 5 questions in

your book with working!!!!​

Multiple Choice

solve for c

• 9
• 4
• 13

Multiple Choice

Find the value of x.

• 15
• 16
• 18
• 17

Multiple Choice

Find the missing side of this right angled triangle...

• 16.1cm

• 11.4cm

• 17.2cm

• 11.5cm

• Look at the example.

• Remember you must show your working

• Answer should have units and accuracy​

  ​

​

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​Pythagoras' Theorem to find a short side

​

​Do the next 5 questions in

your book with working!!!!​

Multiple Choice

Find the length of b in this triangle.

• 31
• 50

• 60
• 62

Multiple Choice

Find the missing side of this right angled triangle...

• 4.1cm

• 2.4cm

• 2.5cm

• 4.2cm

Multiple Choice

Find the value of the missing side...

• 4.7cm

• 6.4cm

• 6.5cm

• 4.8cm

Multiple Choice

Find the value of the missing side...

• 5.4cm

• 5.5cm

• 11cm

• 11.1cm

Multiple Choice

Find the value of the missing side...

• 5.7cm

• 5.6cm

• 2.6cm

• 2.7cm

You will need to decide whether you are finding the hypotenuse or the short side.

Draw a picture to see​

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Now mixed them up and applied problems

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Fill in the Blank

Work this problem in your book and enter the answer.

Don't forget units and to round to 1 dp.

Fill in the Blank

Work this problem in your book and enter the answer.

Don't forget units and to round to 1 dp.

Fill in the Blank

Work this problem in your book and enter the answer.

Don't forget units and to round to 1 dp.

Fill in the Blank

Work this problem in your book and enter the answer.

Don't forget units and to round to 1 dp.

Fill in the Blank

Work this problem in your book and enter the answer.

Don't forget units and to round to 1 dp.

Fill in the Blank

To get from point A to point B you must avoid walking through a pond. You must walk 34 m south and 41 m east. To the nearest meter, how many meters would be saved if it were possible to make a way through the pond?

Work this problem in your book and enter the answer.

Don't forget units and to round to 2 dp.

Trigonometry

​Trigonometry

(labelling O,A,H)​

​

​The hypotenuse is always opposite the right angle (H)

The opposite side is always opposite the given angle (O)

The other side is called the adjacent side because it is next to the angle (A)​

Multiple Choice

Which side is highlighted?

• Adjacent

• Opposite

• Hypotenuse

Multiple Choice

Which side is highlighted?

• Adjacent

• Opposite

• Hypotenuse

Multiple Choice

Which side is highlighted?

• Adjacent

• Opposite

• Hypotenuse

Multiple Choice

Which side is highlighted?

• Adjacent

• Opposite

• Hypotenuse

Multiple Choice

Which side is highlighted?

• Adjacent

• Opposite

• Hypotenuse

​Trigonometry

(to find a side)​

​

• Label the sides O,A,H

• Cross out the lonely letter

• SOH CAH or TOA ??

• Draw the triangle and circle the letter you are looking for

• is it mult or divide? x

• Write out the ratio

• and solve , units and accuracy

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The Rules (to multiply)

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• Label the sides O,A,H

• Cross out the lonely letter

• SOH CAH or TOA ??

• Draw the triangle and circle the letter you are looking for

• is it mult or divide? ÷

• Write out the ratio

• and solve , units and accuracy

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Do the next questions in your book and enter the answer to 1 decimal place

The Rules (to divide)

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Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember unti

​Trigonometry

(to find an angle)​

​

• Label the sides O,A,H

• Cross out the lonely letter

• SOH CAH or TOA ??

• Draw the triangle and circle the letter you are looking for

• Finding the angle its -1

• Write out the ratio

• and solve

​

Do the next questions in your book and enter the answer to 1 decimal place

The Rules (to find the angle)

​

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp

(don't worry about the degrees sign)

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

(don't worry about the degrees sign)

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

(don't worry about the degrees sign)

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

(don't worry about the degrees sign)

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

(don't worry about the degrees sign)

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

(don't worry about the degrees sign)

Remember

• If you don't have an angle it's probably pythagoras

• If you have an angle use trig

• ​if you are finding an angle use -1

Mixed Problems

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

(don't worry about the degrees sign)

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

(don't worry about the degrees sign)

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

(don't worry about the degrees sign)

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

(don't worry about the degrees sign)

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

(don't worry about the degrees sign)

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

(don't worry about the degrees sign)

Extra for experts

Fill in the Blank

Answer the question in your book and

enter the answer to 2dp remember units

Fill in the Blank

Answer the question in your book and

enter the answer to 2dp remember units

Fill in the Blank

Answer the question in your book and

enter the answer to 1dp remember units

This one is really tricky!