Grade 7: Math T3 Review

Grade 7: Math T3 Review

Exam: 13 June 2021

Chapter 9

Volume and Surface Area

of

Cylinders, Cones and Spheres

Multiple Choice

Give the formula we use to calculate the VOLUME of a CYLINDER

• $\pi r^2h$

• $\frac{1}{3}\pi r^2h$

• $\frac{4}{3}\pi r^3$

• $\frac{2}{3}\pi r^3$

Multiple Select

Calculate the VOLUME of the following Cylinder

Check ALL that gives the answers

• $\pi\times12^2\times6$

• $\pi\times6^2\times12$

• $432\pi$

• $864\pi$

•  $1257\ cm^3$ 

Multiple Choice

Give the formula we use to calculate the VOLUME of a CONE

• $\pi r^2h$

• $\frac{1}{3}\pi r^2h$

• $\frac{4}{3}\pi r^3$

• $\frac{2}{3}\pi r^3$

Multiple Select

Calculate the VOLUME of the following Cone

Check ALL that gives the answers

•  $\frac{1}{3}\times\pi\times5\times5\times9$ 

•  $\pi\times5^2\times9$ 

•  $75\pi$ 

•  $225\pi$ 

•  $235.6\ cm^3$ 

Multiple Choice

Give the formula we use to calculate the VOLUME of a SPHERE

• $\pi r^2h$

• $\frac{1}{3}\pi r^2h$

• $\frac{4}{3}\pi r^3$

• $\frac{2}{3}\pi r^3$

Multiple Select

Calculate the VOLUME of the following SPHERE

Check ALL that gives the answers

•  $\frac{4}{3}\times\pi\times42\times42\times42$ 

•  $\frac{4}{3}\times\pi\times21\times21\times21$ 

•  $\frac{4}{3}\times\pi\times21\times21$ 

•  $\frac{4}{3}\times\pi\times42\times42$ 

•  $38792.4\ cm^3$ 

Multiple Select

Which formula could be used to calculate the VOLUME of a HEMISPHERE?

Choose 2

•  $\frac{4}{3}\pi r^3$  

•  $\frac{1}{2}\pi r^3$  

•  $\frac{1}{2}\times\frac{4}{3}\pi r^3$  

•  $\frac{2}{3}\pi r^3$  

•  $\frac{2}{3}\pi r^2$  

Multiple Select

Calculate the volume of the composit solid.

Check ALL that will give you the final answer

•  $\pi\times6^2\times19+\frac{2}{3}\times\pi\times6^3$  

•  $2601.2\ cm^3$  

•  $684\pi$  

•  $144\pi$  

•  $828\pi$  

Multiple Choice

The Surface Area of a cone is $54\ cm^2$ . What is the surface area of a similar cone that is three times larger?

•  $54\times3$  

•  $54\times3^2$  

•  $54\times3^3$  

•  $54\div3$  

Multiple Choice

The length of cuboid A is 4cm, and the lenght of cuboid B is 8cm. Calculate the volume of Cuboid B if the volume of a cuboid A is $64\ cm^2$  

•  $512\ cm^3$  

•  $256\ cm^3$  

•  $128\ cm^3$  

•  $32\ cm^3$  

Multiple Choice

What is the formula to calculate the total surface area of a cylinder?

• $2\pi r^2$

• $2\pi rh$

• $2\pi r^2+2\pi rh$

• $\pi rl$

• $\pi rl+\pi r^2$

Multiple Choice

What is the formula to calculate the lateral area of a cylinder?

• $2\pi r^2$

• $2\pi rh$

• $2\pi r^2+2\pi rh$

• $\pi rl$

• $\pi rl+\pi r^2$

Multiple Choice

What is the formula to calculate the lateral area of a cone?

• $2\pi r^2$

• $2\pi rh$

• $2\pi r^2+2\pi rh$

• $\pi rl$

• $\pi rl+\pi r^2$

Multiple Choice

What is the formula to calculate the total surface area of a cone?

• $2\pi r^2$

• $2\pi rh$

• $2\pi r^2+2\pi rh$

• $\pi rl$

• $\pi rl+\pi r^2$

Multiple Choice

A popcorn container at the movies is in the shape of a cone. Suppose the container has a radius fo 6cm and a slant height of 14cm. What is the lateral area of the popcorn container to the nearest cm?

• $377\ cm^2$

• $264\ cm^2$

• $283\ cm^2$

• $113\ cm^2$

Multiple Choice

Mariam has a container of flour in the form of a cylinder. The container has a diameter of 10 cm and a height of 8cm. Calculate the weight of the flour in the container if the container is filled to the top and the weight of flour is $0.23\ grams\ per\ cm^3$ 

•  $200\pi$  

•  $200\pi\times0.23$  

•  $800\pi$  

•  $800\pi\div0.23$  

Poll

How do you feel about CHAPTER 10

• I feel good, I am ready for questions about Volume and Surface Area.

• I need to practice more using the review resources on google classroom and LMS

Chapter 10

Probability

Multiple Choice

One jelly bean is picked from the bowl. How likely is it to pick a BLACK jelly bean?

• Impossible

• Unlikely

• As likely as not likely

• Likely

• Certain

Multiple Choice

One jelly bean is picked from the bowl. How likely is it to pick a RED jelly bean?

• Impossible

• Unlikely

• As likely as not likely

• Likely

• Certain

Multiple Choice

One jelly bean is picked from the bowl. How likely is it to pick a PURPLE or YELLOW jelly bean?

• Impossible

• Unlikely

• As likely as not likely

• Likely

• Certain

Multiple Choice

One jelly bean is picked from the bowl. How likely is it to pick a jelly bean?

• Impossible

• Unlikely

• As likely as not likely

• Likely

• Certain

Multiple Choice

If Sarah flips the coin how likely is it that it will land on tails?

• Impossible

• Unlikely

• As likely as not likely

• Likely

• Certain

Multiple Choice

What is the P(not C) written as a fraction that the spinner

• $\frac{1}{6}$

• about $50\%$

• $\frac{5}{6}$

• $0.2$

• $\frac{5}{8}$

Multiple Select

What is the P(A or E) written as a fraction that the spinner

Choose all that apply

•  $\frac{2}{6}$ 

• about $50\%$

•  $\frac{1}{3}$ 

• $0.2$

•  $\frac{2}{8}$ 

Multiple Choice

What is the total number of outcomes if you toss a coin and spin a spinner with 5 sections?

• 2

• 5

• 7

• 10

Multiple Choice

What is the total number of outcomes if you roll two number cubes (dice)

• 2

• 6

• 36

• 12

Multiple Select

P(8,3)

Choose 2 answers

•  $8\times3$  

•  $8\times7\times6$  

•  $8\times7\times6\times5\times4\times3$  

• 24

• 336

Multiple Choice

There are 7 girls taking part in the Math competition. How many different combination of girls can win 1st, 2nd and 3rd place?

• 21

• 210

• 840

• 42

Multiple Choice

A bag contains 2 blue chips and 6 red chips. Noura picks a chip from the back, she keeps it (without replacing it) and then Fatima picks a chip. Find P(blue and then red)

• $\frac{1}{9}$

• $\frac{3}{14}$

• $\frac{3}{16}$

• $\frac{9}{16}$

Multiple Choice

Two cubes are rolled. What is the probability that the sum of the numbers on the cubes will be 10 ?

• 0

•  $\frac{1}{12}$ 

•  $\frac{1}{9}$ 

•  $\frac{1}{10}$  
  

Multiple Choice

A coin is tossed 5 times.

The results is Heads, Heads, Heads, Tails, Heads.

What was the experimental probability of getting tails?

• $\frac{1}{5}$

• $\frac{1}{2}$

• $\frac{4}{5}$

• 1

Multiple Choice

A coin is tossed 5 times.

The results is Heads, Heads, Heads, Tails, Heads.

What was the theoretical probability of getting tails?

• $\frac{1}{5}$

• $\frac{1}{2}$

• $\frac{4}{5}$

• 1

Multiple Select

At a restaurant, 1 out of every 6 kids' meals wins a prize. If 20 kids visit the restaurant. Determine which probability model could be used to simulate winning a prize.

Select ALL that applies

• Toss a coin 20 times.

• Roll a dice 20 times

• Spin a spinner with 6 sections 20 times

• Spin a spinner with 20 sections 6 times

• Put 20 marbles in a bag with 1 red marble to win and 19 black marbles to loose. Select only 6 marbles without replacing them

Poll

How do you feel about CHAPTER 10

• I feel good, I am ready for questions about probability

• I need to practice more using the review resources on google classroom and LMS

Chapter 11

Statistics

Multiple Choice

The manager of a coffee shop wants to know if his customers prefer coffee or tea. Which sampling method would give a valid result

• Asking every 10th customer who comes to the shop

• Send a survey on telegram

• He asks the first customer that came into the store

• He asks a random sample of children at the park.

Multiple Select

Which sampling methods is not valid?

Choose all that are not valid

• Simple Random Sample

• Convenience Sample

• Systematic Random Sample

• Voluntary Sample

Multiple Select

4 out of every 7 girls at a school do their homework every night. If there are 350 girls in the school, how many girls do their homework?

Choose all that will give you the answer

• $\frac{4}{7}\times350$

• 200

• $\frac{3}{7}x350$

• 150

Multiple Select

80% of the customers at the coffee shop says they prefer coffee. If there is 150 customers expected on Saturday. How many would likely order coffee?

Choose all that apply

•  $0.2\times150$  

•  $0.8\times150$  

•  $\frac{4}{5}\times150$  

• 120

• 30

Multiple Choice

The double line plot shows the number of students who went to Al Ain Zoo on various school trips in 2009 and 2010.

Which of the statements in NOT true?

• Range for 2009: 20

  Range for 2010: 7

• Mean for 2009: 26

  Mean for 2010: 24.5

• The attendence in 2010 peaks at 23

• The median for both years are the same

Multiple Choice

Which measure of center can be used if both data sets are symetric?

• mean

• median

• mode

• range

Multiple Choice

Using the data set 8aed, 10aed, 15aed, 8aed, 12aed, 13aed, 8aed and 11aed. Which measure of center would you use to convince people that the prices are LOW?

• Mean

• Median

• Mode

• None of these

Multiple Choice

Ms. Erika looks at the test scores of two of her classes. The double box plot show the results of the two classes. Compare the median score for the two classes

• Room 14: 87

  Room 12: 72

• Room 14: 80

  Room 12: 70

• Room 14: 100

  Room 12: 50

• Room 14: 95

  Room 12: 95

Multiple Choice

Ms. Erika looks at the test scores of two of her classes. The double box plot show the results of the two classes. Compare the inter quartile range for the two classes

• Room 14: 25

  Room 12: 45

• Room 14: 5

  Room 12: 15

• Room 14: 15

  Room 12: 10

• Room 14: 20

  Room 12: 30

Multiple Choice

The line graphs show the total hours Salomon spend doing his chores in one month. Which graph should he use to convince his parents that he deserves a raise in his allowance?

• He should use Graph A, it makes the total hours seem much larger

• He should use Graph B, it makes the total hours seem much smaller

Poll

How do you feel about CHAPTER 11

• I feel good, I am ready for questions about statistics

• I need to practice more using the review resources on google classroom and LMS