G8 Q4 Math revision pack - Answer Key Q4... · 2016-04-24 · Q4 G8 MATH REVISION PACK‐ ANSWER KEY‐ 2015‐2016 2 Chapter 5 A, B, C – Interpreting graphs and charts, Travel

Q4 G8 MATH REVISION PACK‐ ANSWER KEY‐ 2015‐2016 1

Jeddah Knowledge International School

Math Revision Pack

Answer Key 2015-2016 Quarter 4

Grade 8

Name: _______________________________ Section: ______________________________


Chapter 5 A, B, C – Interpreting graphs and charts, Travel graphs, Information from line graphs EXAMPLE

1. Mr. Joe’s class grades were graphed as a pie graph. Based on this graph: a) The largest percentage of students received what grade?

“C”

b) The smallest percentage of students received what

grade?

“D”

c) Estimate what percentage of the class received a B.

25%. Quarter of a circle

2. The bar graph compares the number of students enrolled in classes. a) What class has the highest enrollment?

Economics

b) How many students are enrolled in Chemistry (chem.)

160

c) How many are enrolled in Psychology (Psych)?

225


3. a) Approximately how many hours a day are spent sleeping? 8 hours b) How many hours are spent socializing and watching TV? 6 hours 15 mins c) How many hours are spent in school and doing homework? Approximately 8 hours

4. a) How many people chose beans as their favorite vegetable? 13

b) What percentage of people like peas? 20.83% c) What is percentage difference between the most popular and the least popular vegetable? 31.25%

PeasBeans

CarrotsSprouts

CabbageTurnip

Number 0 2 4 6 8 10 12 14 16

Favourite Vegetables

WATCHING TV13%

SOCIALIZING13%

SCHOOL25%

SLEEPING33%

HOMEWORK8%

EATING8%

How Students Spend Their Time


5. On the weekends, Sue enjoys hiking. This travel graph shown the distance Sue travels one Saturday over a 6‐hour period.

a How far did Sue travel in total? ______20 km____________________ b How far did Sue travel in the first two hours? _________4 km____________________ c What happened in the fourth hour? _______Resting___________________

d When is Sue travelling the fastest? ___________3rd hour____________

6. The travel graph below shows how far Janine travelled away from her home in the city during part

of one Friday afternoon.

(a) When did Janine realise she had left something important behind?

3 pm


(b) How long did she spend searching for this item in her home in the city?

1 hour

(c) At what times was Janine at her city home?

4pm – 5pm

(d) At what time did Janine pass the point where she had turned back earlier?

6pm

7. The following diagram shows the distance time graph for a dog walking along a pavement.

(i) Describe the motion of the dog between: (a) A and B…………runs 20m away from the starting point……………………… (b) B and C…………runs back 11m..……….………………………………………………… (c) C and D…………not moving/ resting..….……………………………………………… (d) D and E…………slowly walks for 2m…………………………………………………… (e) E and F…………runs back 11m to the starting point…………………………… (f) F and G ………not moving/resting………………………………………………………

B

D

A

C

E

0 2 4 6 8 10 12 14 Time (s)

Distance (m) 20 10

F G


8. Ian and his friends were sitting on a deck and eating sunflower seeds. Each person had a bowl with the same amount of seeds. The graphs below all show the amount of sunflower seeds remaining in the person’s bowl over a period of time. Write sentences that describe what may have happened for each person.

a) No seeds were eaten

b) Slowly eaten until finished

c) Ate some seeds quickly, then a break and then eaten quickly until finished.

d) No seeds were eaten for some time, then some were eaten quickly and then no seeds were eaten.

Chapter 7 A, B, D – Review of geometrical facts, Triangles, Quadrilaterals and other polygons

9. Complete the following table.

Angle type Size

Acute between 0 and 90

right 90

obtuse Between 90 and 180

Straight 180

Reflex between 180 and 360

revolution 360


EXAMPLE

10. Find the value of the missing angle in each of the following

a) a = 30. Complementary angles

b)

θ = 124. Supplementary angles

c)

a = 35. Vertically opposite angles d) a = 140. Angles at a point is 360

e)

a =40. Right angle and straight angle f)

a = 135. Vertically opposite angles and angles at a point.


EXAMPLE

11. State whether the two lines cut by the transversal are parallel, giving reasons.

a __Parallel lines. Corresponding angles are equal____

b __Not parallel. Unequal alternate angles_________ ___________________________________________

c __Parallel lines. Co‐interior angles add to 180____ ___________________________________________

12. Find the value of each unknown pronumeral, giving a reason.

a a = 115. Alternate angles ___________________________________

b a = 116. Vertically opposite angles ____________________________________


c a = 67. Corresponding angles ____________________________________

d a = 116. Co‐interior angles ____________________________________

e a = c = 122 (opposite and alternate angles)

b = 58 (co‐interior with angle

____________________________________

f b = c = d = 85 (opposite and corresponding )

a = 95 (supplementary with 85) ____________________________________

g a = 130. Corresponding angles ____________________________________

h a = 60. Supplementary angles ____________________________________

i a = 60. Corresponding angles ____________________________________

Example:


13. Find the value of each unknown pronumeral, giving a reason.

a)

a = 45. Sum of angles in a

triangle is 180

b)

b = 60. Equilateral triangle

c)

c = 40. Sum of angles in a triangle

is 180

d)

x = 70. Vertically opposite and sum of angles in a triangle.

e)

y = 115. Isosceles triangle and exterior angle

f)

x = 215. Sum of angles in a

quadrilateral is 360

g)

y = 105. Equal angles in a kite

h)

X = 45. Sum of angles is 360

i)

z = 60. Co‐interior angles

j)

a = 265. Sum of angles in a

hexagon is 720

k)

a = 72. Sum of angles in a pentagon and angle on straight line

l)

a = 97 (co‐interior angles) b = 97 (opposite angles)


Chapter 16 E, F – Similar figures and triangles

14. State whether or not the following triangles are similar and support your answer.

Similar triangles. They are equiangular

15. Assuming the two triangles are similar, find the tower's height from the given measurements below.

x = 40 metres

16. Looking at the triangles in the figure:

a) Are the two triangles similar? Yes

b) What is the length of QT? 12 cm

c) If PT is 15cm, what is the length of RT? 5 cm


Chapter 9 D, G – Pythagoras theorem and problem solving

EXAMPLE

17. Find the missing sides

a) x = 5

b)

C = 10.18

c)

C = 7.21

d)

a = 35

e)

b = 0.49

f)

b = 4.24


g) A 4 m tall ladder reaches 3.7 m up a wall. Find the horizontal distance between the base of the wall and the ladder. Give your answer correct to two decimal places.

X = 1.51 metres

h) Two poles are located 3.2 m apart. A wire links the tops of the two poles. Find the length of the wire if the poles are 3.8 m and 6 m in height. Give your answer correct to one decimal place.

Length of wire = 3.88 metres

End of Revision Pack!!

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G8 Q4 Math revision pack - Answer Key Q4... · 2016-04-24 · Q4 G8 MATH REVISION PACK‐ ANSWER KEY‐ 2015‐2016 2 Chapter 5 A, B, C – Interpreting graphs and charts, Travel