NUMBER SYSTEM
EQUATIONS & EXPRESSIONS
GEOMETRY
GENERAL KNOWLEDGE
100

A submarine is at a depth of 320 feet below sea level. It rises 150 feet. What is its new depth?

What is 170 feet below sea level? (–320 + 150 = –170)

100

Write 0.000072 in scientific notation.

What is 7.2×10-5?

100

A dilation centered at the origin maps (3, −2) to (9, −6). What is the scale factor?

What is 3?

100

The number of degrees in the sum of the interior angles of a quadrilateral is this.

What is 360 degrees?

200

A baker has 3/4 of a pound of sugar. She needs to divide it equally among 6 cupcakes. How much sugar goes in each cupcake?

What is 1/8 pound? (3/4 ÷ 6 = 3/24 = 1/8)

200

The distance from Earth to the Sun is approximately
1.496×10km.
Write this in standard form.

What is 149,600,000 km?

200

Point P(−3, 4) is rotated 180° about the origin. What are the new coordinates?

What is (3, −4)?

200

A triangle with all sides of different lengths is called this.

What is a scalene triangle?

300

A factory produces 24.6 tons of steel in 3 days. How much steel is produced per day?

What is 8.2 tons per day? (24.6 ÷ 3 = 8.2)

300

A number written in scientific notation has a positive exponent.
What does this tell you about the size of the number?

It is greater than 1.

300

Explain why a reflection followed by a translation will always produce a congruent image.

What is because both transformations preserve distance and angle measure?

300

The formula for the area of a triangle is this.

What is ½ × base × height?

400

The temperature is –2 1/2°F. It drops 4 3/4°F overnight. What is the new temperature?

What is –7 1/4°F?

400

A student claims:

(x4)3=x7

Is the student correct? Explain.

What is no? It equals x12 because you multiply exponents when raising a power to a power.

400

Area of a triangle is 16. After dilation with scale factor 2, what is the new area?

What is 64 

400

This property states that changing the order of numbers in addition or multiplication does not change the result.

What is the Commutative Property?

500

A diver is 5 1/3 meters below sea level. She rises 2 2/5 meters, then descends 1 3/4 meters. What is her final position?

What is –4 1/12 meters below sea level? (–5 1/3 + 2 2/5 – 1 3/4 = –4 1/12)

500

A cube-shaped storage box has a volume of 343 cubic inches.

What is the length of one edge?

What is 7 inches

500

A right triangle has hypotenuse 17 and one leg 8. Find the other leg.

What is 15

500

A triangle with two equal sides is called this.

What is an isosceles triangle?