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Grade 8 Math Exam ReviewGeocache

Instructions

1. In your teams, solve the questions to complete the coordinates. 2. Enter the coordinates into the Free GPS app (setting: Deg/Min/Sec) to find a hidden container

with a code word. Replace the container after you find it. All containers are on school property or in the field. There is no need to cross the street or enter private property. The GPS is accurate +/- 10m. Once you get within 10 m, look for obvious hiding spots.

3. Come back to meeting area to get the next set of review questions4. When all the code words are found, solve the riddle.5. Have fun and good luck. Happy caching!

Why did the math textbook need to see a therapist?

___________ ________ ________ ________(Squares code word) (Fractions code word) (Integers code word) (Percent code word)

_______ ___________ _________.(Ratios code word) (Algebra code word) (Measurement code word)

Grade 8 Exam ReviewGeocache: Student Version©2018 Brown & Latimer

#1: Squares and Square Roots

Fill in the missing numbers of the coordinates based on your answers to the following questions.

Coordinates:

N 49 48 AB.C53 N 49 48 __ __.__53

W 097 12 DE.F50 W 097 12 __ __.__50

1. Which of the following numbers is not a perfect square: 121, 2, 100, 4: If the answer is 121, A = 1 If the answer is 2, A = 3 If the answer is 100, A = 5 If the answer is 4, A = 7

2. Find the length of the hypotenuse.

8m h

6m

If the answer is 9m, B = 6 If the answer is 10m, B = 1 If the answer is 11m, B = 3 If the answer is 12m, B = 9

3. The areas, in square centimeters, of the smaller squares on the sides of a right triangle are given. Determine the area of the largest square. If the answer is 61 cm2, C = 4 If the answer is 22 cm2, C = 6 If the answer is 11 cm2, C = 3 25 If the answer is 330 cm2, C = 9

36 ?


4. Sarah says triangle ABC is a right triangle. Is she correct? Justify your answer

If the answer is: the total of the interior angles = 180, D = 1 If the answer is: a2 + b2 = c2, D = 5 If the answer is: triangle ABC is not a right triangle, D = 7

A

9 15

B 12 C

5. What is the length of BC? If the answer is 9.5 cm, E=1 If the answer is 13 cm, E=2 If the answer is 10 cm, E=4 If the answer is 11.5 cm, E=6

B

7cm

A 4cm D 10cm C

6. Using benchmarking, calculate √40 to the nearest tenth. If the answer is 6.1, F = 6 If the answer is 6.2, F = 2 If the answer is 6.3, F = 7 If the answer is 6.4, F = 9


#2: FractionsFill in the missing numbers of the coordinates based on your answers to the following questions.

Coordinates:

N 49 48 AB.C21 N 49 48 __ __.__21

W 097 12 DE.F40 W 097 12 __ __.__40

1. Find this product. 3/5 x 20/21 If the answer 23/26, A = 1 If the answer is 24/100, A = 2 If the answer is 4/7, A = 3 If the answer is 8/14, A = 4

2. There are 60 students in grade 8 and 2/3 of them applied to go on a trip to the science museum. Of those who applied, ¼ went. How many students went to the science museum? If the answer is 10, B = 0 If the answer is 40, B = 2 If the answer is 15, B = 1 If the answer is 60, B = 4

3. Find this quotient. 3 7/9 ÷ 1 5/12 If the answer is 3/8, C = 1 If the answer is 8/3, C = 2 If the answer is 4 12/21, C = 7

4. A piece of ribbon is 33 1/4m long. How many 2 3/8m pieces can be cut from this piece of ribbon? If the answer is 12, D = 1 If the answer is 13, D = 3 If the answer is 14, D = 5 If the answer is 15, D = 7


5. Evaluate. 3 ¾ - 1 1/3 x 1 ½ If the answer is 1 ¾, E = 6 If the answer is 2 1/2, E = 5 If the answer is 3 ¼, E = 4

6. Multiply. 4 4/5 x 1 7/8 If the answer is 5 28/56, F = 4 If the answer is 9, F = 8 If the answer is 4 28/40, F = 9


#3: IntegersFill in the missing numbers of the coordinates based on your answers to the following questions.

Coordinates:

N 49 48 AB.C04 N 49 48 __ __.__04

W 097 12 DE.F74 W 097 12 __ __.__74

1. Find this product. (+5)(-3) If answer is -13, A = 1 If answer is -17, A = 2 If the answer is -15, A = 3 If the answer is 25, A = 4

2. Divide -66/+3. If the answer is -22, B = 3 If the answer is -69, B = 4 If the answer is 22, B = 5 If the answer is -63, B = 6

3. Which products are positive?a. (+4) x (-23) b. (-7) x (-18) c. (-4) x (+23) d. (+4) x (-7) If the answer is a, C = 1 If the answer is b, C = 3 If the answer is c, C = 5 If the answer is d, C = 7

4. What integer should you multiply +5 by to get -15? If the answer is 3, D = 1 If the answer is -3, D = 5 If the answer is-10, D = 6 If the answer is 10, D = 8


5. Evaluate 6(12 – 6) – 20 If the answer is 10, E = 5 If the answer is 16, E = 1 If the answer is 20, E = 3 If the answer is 24, E = 4

6. Evaluate. (7)(9) – (-1) 8 If the answer is -63/8, F = 5 If the answer is 31/4, F = 6 If the answer is 8, F = 7 If the answer is 11, F = 8


#4: PercentFill in the missing numbers of the coordinates based on your answers to the following questions.

Coordinates:

N 49 48 AB.C14 N 49 48 __ __.__14

W 097 12 DE.F88 W 097 12 __ __.__88

1. Write 0.365 as a percent. If the answer is 3.65%, A = 1 If the answer is 36.5%, A = 3 If the answer is 365%, A = 5 If the answer is .365%, A = 7

2. The cost of a pair if hiking boots is $80. The selling price is 230% of the cost. What is the selling price of the boots? If the answer is $310, B = 3 If the answer is $347, B = 2 If the answer is $230, B = 1 If the answer is $184, B = 0

3. 130% of a number is 78. What is the number? If the answer is 50, C = 7 If the answer is 55, C = 4 If the answer is 60, C = 1 If the answer is 65, C = 8

4. There are 23 000 workers in a factory. The management decided to reduce the workforce by 18%. How many workers will be laid off? If the answer is 4140, D = 4 If the answer is 1278, D = 3 If the answer is 280, D = 2 If the answer is 18 860, D = 1


5. The attendance on the first night of a school play was 375. The attendance on the second night was 420. What was the increase in attendance? If the answer is 7%, E = 6 If the answer is 10%, E = 7 If the answer is 12%, E = 8 If the answer is 15%, E = 9

6. Find the percent decrease from 400 – 300. Round to the nearest tenth if necessary. If the answer is 75%, F = 2 If the answer is 60%, F = 1 If the answer is 30%, F = 4 If the answer is 25%, F = 3


#5: Rates & RatiosFill in the missing numbers of the coordinates based on your answers to the following questions.

Coordinates:

N 49 48 AB.C56 N 49 48 __ __.__56

W 097 12 DE.F70 W 097 12 __ __.__70

1. The ratios __:16 and 5:2 are equivalent. Find the missing number. If the answer is 23, A = 1 If the answer is 80, A = 4 If the answer is 32, A = 3 If the answer is 40, A = 2

2. A car travels 152 km in 4 hours. How far will it go in 1 hr. If the answer is 61km, B = 9 If the answer is 148km, B = 2 If the answer is 38km, B = 8 If the answer is 42 km, B = 6

3. Which ratio is great, 2:3 or 3:5? If the answer is 2:3, C = 2 If the answer is 3:5, C = 4

4. The ratio of win to loss is 5:4 for a sport team. If the team played 90 games, how many games did the team win? If the answer is 40, D = 1 If the answer is 60, D = 7 If the answer is 75, D = 3 If the answer is 50, D = 5


5. The scale for a model gorilla is 1:40. The gorilla is 184 cm tall. What is the height of the gorilla in the model? If the answer is 4.6 cm, E = 2 If the answer is 1.8 cm, E = 4 If the answer is 5.7 cm, E = 6 If the answer is 2.3 cm, E = 8

6. In 3 stores, the same detergent is on special. Which store offers the best buy?STORE 1: 6 bottles for $12.48STORE 2: 7 bottles for $14.42STORE 3: 5 bottles for $10.35

If the answer is STORE 1, F = 9 If the answer is STORE 2, F = 8 If the answer is STORE 3, F = 7


#6: AlgebraFill in the missing numbers of the coordinates based on your answers to the following questions.

Coordinates:

N 49 48 AB.C45 N 49 48 __ __.__45

W 097 12 DE.F97 W 097 12 __ __.__97

1. Write an equation for this sentence. 40 less a number is 10. If the answer is “m – 40 = 10”, A = 2 If the answer is “40 – m = 10”, A = 6 If the answer is “m + 40 = 10”, A = 4 If the answer is “m + 10 = 40”, A = 5

2. Solve this equation. 11 = 21 – 5w If the answer is w = -2, B = 1 If the answer is w = 5, B = 3 If the answer is w = -3, B = 5 If the answer is w = 2, B = 7

3. Verify that 5 is a solution of this equation: 6y – 7 = 23 If 5 is a solution, C = 2 If 5 is not a solution, C = 5

4. Sean paid $81 to rent a boat to go fishing. The rental rate was $25 plus $8 per hour. For how many hours did Sean rent the boat? If the answer is 4 hours, D = 1 If the answer is 7 hours, D = 5 If the answer is 8 hours, D = 3 If the answer is 9.5 hours, D = 6

5. Solve this equation. t/-8 +3 = 16 If t = 104, E = 4 If t = 152, E = 2 If t = -152, E = 8 If t = -104, E = 5


6. Solve this equation. -2(p - 6) = -14 If p = 2, F = 1 If p = -13, F = 2 If p = 13, F = 3 If p = -7, F = 4


#7: Measuring Prisms & CylindersFill in the missing numbers of the coordinates based on your answers to the following questions.

Coordinates:

N 49 48 AB.C85 N 49 48 __ __.__85

W 097 12 DE.F63 W 097 12 __ __.__63

1. Find the surface area of this right rectangle prism.

If the answer is 420 m2, A = 3 If the answer is 300 m2, A = 6 If the answer is 600 m2, A = 2 If the answer is 480 m2, A = 4

2. The 2 triangle faces of a prism are isosceles triangles with a base length 6 cm and a height 12 cm. Find the surface area of the prism. If the answer is 500 cm2, B = 7 If the answer is 437 cm2, B = 5 If the answer is 688 cm2, B = 6 If the answer is 842 cm2, B = 4

3. Calculate the volume of this triangular prism. If the answer is 161.46 cm3, C = 3 If the answer is 80.73 cm3, C = 8 If the answer is 69.54 cm3, C = 6 If the answer is 195.32 cm3, C = 4


15 m

6 m

10 m

20 cm

12.4 cm

6 cm

12 cm

3.9 cm4.6 cm

9 cm

4. A vase is made in the shape of an open cylinder with a height of 122 cm and diameter 11 cm. The outside of the vase is to be painted. What is the area to be painted, to the nearest square centimeter? If the area to be painted is 3658 cm2, D = 3 If the area to be painted is 4311 cm2, D = 5 If the area to be painted is 4967 cm2, D = 9 If the area to be painted is 5672 cm2, D = 4

5. Identify the polyhedron that has this net.

If the answer is rectangular prism, E = 6 If the answer is triangular pyramid, E = 7 If the answer is triangular prism, E = 8 If the answer is rectangular pyramid, E = 9

6. A cylinder has a radius 4 cm and a height 7 cm. A cube has edge length 8 cm. Would one solid fit inside the other? If the answer if no, F = 2 If the answer is, the cube will fit inside the cylinder, F = 5 If the answer is, the cylinder will fit inside the cube, F = 7


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