AzM2 Advanced Topics 4

Question 1

A triangle has angles measuring 55° and 75°. What is the measure of the third angle?

Accepted Answer

50°

Answer

The sum of angles in a triangle is 180°; 180 − 55 − 75 = 50°.

Question 2

Which inequality correctly compares 0.45 and 0.5?

Accepted Answer

0.45 < 0.5

Answer

0.45 = 45/100 and 0.5 = 50/100, so 0.45 is less than 0.5.

Question 3

If a pattern rule is 'multiply by 3,' what are the next two terms after 4, 12, 36?

Accepted Answer

108, 324

Answer

36 × 3 = 108 and 108 × 3 = 324, so the next two terms are 108 and 324.

Question 4

A container holds 3.75 liters of water. After pouring out 1.4 liters, how much remains?

Accepted Answer

2.35 liters

Answer

3.75 − 1.40 = 2.35 liters remaining in the container.

Question 5

Which of the following fractions is equivalent to 2/5?

Accepted Answer

4/10

Answer

2/5 × 2/2 = 4/10, so 4/10 is equivalent to 2/5.

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