Jeddah Knowledge International School
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1 Jeddah Knowledge International School Math Revision Pack Answer Key Quarter 4 Grade 8 Name: Section: Q4 G8 MATH REVISION PACK ANSWER KEY
2 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 Q4 G8 MATH REVISION PACK ANSWER KEY
3 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 How Students Spend Their Time EATING 8% HOMEWORK 8% WATCHING TV 13% SOCIALIZING 13% SLEEPING 33% SCHOOL 25% 4. a) How many people chose beans as their favorite vegetable? 13 Favourite Vegetables Peas Beans Carrots Sprouts Cabbage Turnip Number 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% Q4 G8 MATH REVISION PACK ANSWER KEY
4 5. On the weekends, Sue enjoys hiking. This travel graph shown the distance Sue travels one Saturday over a 6 hour period. a b c d How far did Sue travel in total? 20 km How far did Sue travel in the first two hours? 4 km What happened in the fourth hour? Resting When is Sue travelling the fastest? 3 rd 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 Q4 G8 MATH REVISION PACK ANSWER KEY
5 (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. Distance (m) 20 B E 10 C D A F G Time (s) (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 Q4 G8 MATH REVISION PACK ANSWER KEY
6 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 Acute right obtuse Straight Reflex revolution Size between 0 and Between 90 and between 180 and Q4 G8 MATH REVISION PACK ANSWER KEY
7 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. Q4 G8 MATH REVISION PACK ANSWER KEY
8 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 Find the value of each unknown pronumeral, giving a reason. a a = 115. Alternate angles b a = 116. Vertically opposite angles Q4 G8 MATH REVISION PACK ANSWER KEY
9 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: Q4 G8 MATH REVISION PACK ANSWER KEY
10 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 h) g) y = 105. Equal angles in a kite 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) Q4 G8 MATH REVISION PACK ANSWER KEY
11 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 Q4 G8 MATH REVISION PACK ANSWER KEY
12 Chapter 9 D, G Pythagoras theorem and problem solving EXAMPLE 17. Find the missing sides b) a) x = 5 c) C = d) C = 7.21 e) a = 35 f) b = 0.49 b = 4.24 Q4 G8 MATH REVISION PACK ANSWER KEY
13 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. 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. X = 1.51 metres Length of wire = 3.88 metres End of Revision Pack!! Q4 G8 MATH REVISION PACK ANSWER KEY
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