Decimals
Angles
Triangles
Polygons
Fractions
100
Add the Decimals 1.325 + 0.081.
What is 1.406?
100
If angles 1 & 2 are VERTICAL angles, and the measure of angle 2 is 63°, what is the angle of angle 1? Explain.
What is 63° because VERTICAL angles are always congruent.
100
What is the formula used to find the LENGTHS of a right triangle?
What is a² + b² = c² (Pythagorean Theorem)?
100
What is the formula used to find the SUM OF ALL INTERIOR ANGLES or the NUMBER OF SIDES of a regular polygon?
What is S = 180(n-2), where S is the SUM and n is the # of sides.
100
3/4 + 7/4 = ?
What is 11/4 or 2 3/4. || 3/4 + 7/4 || 11/4 = 2 3/4
200
Subtract the decimals 148.93 - 121.36.
What is 27.57?
200
If angles 1 & 2 are complementary angles, what would be the measure of angle 1 if angle 2 is 60°? Explain.
What is 30° because complementary angles form a right angle (90°); therefore, 90°-60° = 30°.
200
What is the longest length/side of a right triangle called? (hint: It is ALWAYS opposite of the right angle)
What is the HYPOTENUSE?
200
If the sum of all angles of a regular polygon measures 1080°, what TYPE OF POLYGON is it?
What is an octagon (8-sided polygon)? S = 180(n-2) || 1080° = 180(n-2) || ÷180 ÷180 || 6 = n -2 || +2 +2 || 8 sides = n || 8 sides means it is an OCTAGON (stop sign)!
200
7/10 - 1/2 = ?
What is 1/5. || 7/10 - 1/2 || 14/20 - 10/20 || 4/20 = 1/5
300
40.35 - 1.70 = ?
What is 38.65?
300
If angles 3 and 4 are supplementary angles, and the measure of angle 3 is 45°, what must the measure of angle 4 be? Explain.
What is 135° because supplementary angles form a straight line (180°); therefore, 180° - 45° = 135°.
300
If the LEGS of a right triangle measure 5cm and 12cm, what would the measure of the HYPOTENUSE be?
What is 13cm? a² + b² = c² 5² + 12² = c² 25 + 144 = c² 169 = c² √169 = c 13 cm = c
300
If the sum of all angles of a regular polygon measures 1620°, HOW MANY SIDES does the polygon have?
What is 11 sides? S = 180(n-2) || 1620° = 180(n-2) || ÷180 ÷180 || 9 = n -2 || +2 +2 || 11 sides = n
300
6/10 x 1/3 = ?
What is 2/15. || 6/10 x 1/3 || 6x1 / 10x3 || 6/30 = 2/15
400
3.2 x 0.1
What is 0.32?
400
a) What is the DIFFERENCE between ALTERNATE INTERIOR angles and ALTERNATE EXTERIOR angles? b) What is 1 SIMILARITY?
a) Alternate INTERIOR angles are found on the inside of the parallel lines. Alternate EXTERIOR angles are found on the outside of the parallel lines. b) Both are congruent angles and are on opposite sides of the transversal line.
400
If one LEG of a right triangle measures 14cm and its HYPOTENUSE measured 50cm, what would the measure of the OTHER LEG be?
What is 48cm? 14² + b² = 50² 196 + b² = 2500 -196 -196 b²= 2304 √b²= √2304 b = 48 cm
400
If a regular polygon has 23 sides, what is the sum of all the angles?
What is 3,780°? S = 180(n-2) ; S = 180(23-2) ; S = 180(21) ; S = 3780°
400
7/10 ÷ 3/2 = ?
What is 7/15. || 7/10 ÷ 3/2 || 7/10 x 2/3 || 7x2 / 10x3 || 14/30 = 7/15
500
14.804 / 4.3 = ? Round your answer to the nearest hundredth.
What is 3.44?
500
Why is a right angle NOT an example of a complementary angle?
A right angle is only ONE angle by itself. Complementary angles require 2 angles to add up to 90° for it to be complementary.
500
Chris leaves school to go home. He walks 6 blocks NORTH and then 8 blocks WEST. How far is John's walk STRAIGHT from the school to home? (hint: draw it first!)
What is 10 blocks? a² + b² = c² 6² + 8² = c² 36 + 64 = c² 100 = c² √100 = c 10 blocks = c
500
Tim solved the sum of all the angles of a regular polygon to be 720°. Then, Tim found out that one of the angles measured 100°. How does he know that this is NOT a regular polygon?
If it were a regular polygon, each angle of a 720°-polygon would have to be 120°. Because one of the angles is 100°, it cannot be a regular polygon. S = 180(n-2) || 720° = 180(n-2) || ÷180 ÷180 || 4 = n -2 || +2 +2 || 6 sides = n (hexagon) || 720° ÷ 6 sides = 120° per side if it were a regular polygon
500
7/11 ÷ 5 = ?
What is 7/55. || 7/11 ÷ 5 || 7/11 x 1/5 || 7x1 / 11x5 || 7/55
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