Grade 8 Math Test 5 Review Outcomes Tested: C-3 Students will be able to apply ratios, rate and proportions to solve problems. C-2 Students will be able to demonstrate an understanding of ratio and rate. B-2 Students will be able to solve problems involving positive rational numbers (fractions & decimals). Target C-2 Students will be able to demonstrate an understanding of ratio and rate. 1. Refer to the diagram to the right. Write each ratio as a fraction and using colons. a) Ratio of baseballs to golf balls. "7 b) Ratio of golf balls to baseballs. "-1^ 4 c) Ratio of baseball to baseballs and golf balls, 4-1 / d) Ratio of golf balls to baseballs and golf balls. -7 If ; 2. Write these rates as.ratie-s as a fractior ii-a-eafort. a) 60 km ir,14 L 214 skivz. b) 24 hours in a day. / de.:j d71,? p 0 0 0 OG 0 c) 110 km in 2 hours a *a S5 kat/ I kr d) 16 ounces to a pound 0607C. 69 01,e /ha 3. There are 65 boys and 52 girls in the drama club. What is the ratio of boys to girls, in simplest form? 4-1 4. On a farm that has only two types of animals, there are 34 cows and 12 horses. What is the ratio of horses to the total number of animals on the farm, in simplest form?
5. Find the unit rate for reach of the following a) 70 kilowatts in 5 hours. klki//) b) 126 M&M's in 6 bags 6. c) 112 seats in 8 rows d) $549 for 9. people 2/ M+hitha. ) 1/5eall-5/f-e-) '101/pfir-I6oh 6. If Robert's expenses for 7 days total $297.50. What is Robert's expenses in 3 days? 50 7 AkC e //A 50 X 5 clout 5 it7.0513 97 o rjob-e*t- 4i c3-7/50 7. If Marcy earns $44.00 for an 8 hour day, use the unit rate to determine how much Marcy earns for working 5 hours. 0/ 4- ----- 5,50 s-,5ox5 a7,50 -e_scx)--h S 7O1 5 hoter50 8. Find the unit price for each of the following. Round your answer to the nearest cent if necessary. a) 64 oz. of juice for $3.84 b) 5 pounds of potatoes for $1.25!,"2-5 c) 6 r-15ḏofbananas for $2.00 C crk d) 8 L of milk for $3.99 erig e) 3 cans of soup for $2.60 /6. 7 oz/$ cre $0,0(%z. 6-R lo,c2.5/t/b 3 og 0 ( 33//h c')o5 oj 6.50/L [is cavs olz xo,n/cqn f) 8 containers of yogurt for $1.00 g) 32 oz. of cola for $0.89 3g4 Ot?, crr 36 oz77$' 08$0,013/0z Target C-3 Students will be able to apply ratios, rate and proportions to solve problems. 9. Determine if the following pairs of numbers are proportional:3, a) 2, 3 and 4, 5 j b) 8, 10 and 4, 5 c)ffie, 10 and", 5 d) 12, 18 and 2, 3 0--ks 4 x3 3Y-5 --- 5 fo '' '2- /51-5 /0 IC) )0 yes -NJ S 15) yes X G
10. Solve the following proportions. 4 2 a) = x/q 7'77= 10 12 4X3 0 = s ( q = i 5 6 33 d) 7 X 33-7 3 /5 e) 5:7=x:21 f) 6x=3:7 6x77:- 11. 9 markers cost $11.50. How much would 7 marks cost? 1/2 hcz?-)c-i 1 9 47e 5 c& 7. apples cost $5. Hovmany apples can I buy with $8 Ii 5-1- f \.1 071 7 il 3 13. A cake recipe for 5 people requires 2 eggs. How many eggs do we need for a 15 person cake? 614 a-c-,1s -z_- aci-o 160,(7/o/lea---) Eacjs oltox(5 -z-(7
14. Over a period of 3 hours, 180 leaves fell from a tree. At this rate, how many leaves fell in one hour? / go 3 = Co 0 hakel/apike 15. Georgia drove a total of 252 miles and used 12 gallons of gasoline. What is this rate in miles per gallon? 4,2 5 16. Tyler scored 21 goals in 7 soccer games. At this rate, about how many goals did he score each game? 17. While climbing down a mountain, Anthony descended 45 feet every hour. At this rate, how many feet will he descend in 6 hours? i 18. A statue of Mr. Mathewson is 30 inches tall. If the statue is -7 as tall as Mr. Mathewson, how tall is Mr. Mathewson? 3 30 x = 3, P-I0,( 3 701)1c1-01 19. The ratio of width to length for a Canadian flag is 10 to 19. A flag measuring 50 by 95 is made. Does this flag satisfy the 10 to 19 ratio? S C.1) / 5 0 j 9,5 9 5,111 r 3 1-- I c.c 51iS 11-)e.I oi6 Icti
20. Determine which is a better buy for each of the following. a) 64 oz. of juice for $2.56 or 96 oz. of juice for $2.88 cr 40,0/,(4z )0( biffe/p 19/ 9h 7 6.-=- 40F? Od6 3/0z--X- b) 12 pens for $2.16 or 30 pens for $5.70 / a 5,, 5 f er1,5/$ 4,Y)04 ift2pti 3o 5;70.26feh c) 6 drinks for $1.25 or 24 drinks for $4.00 /t 1/25 A: 6 --:46, c,faii.,k 1/40 Of infs, 1, d) 10 blank DVDs for $2.97 or 70 blank DVDs for $20.00 3, 3 vb 0 7 /036A49 3D 56 c,. 70 VD by") e) 8 donuts for $2.10 or 24 donuts for $6.30 61-re--411 +,9 ;2 0 3 hisis e) / r Vd0114ti,14/ 6, 6,30 3. /661.4y 7, 4'0/ /ri-l 474 f) 42 bags of chips for $7.99 or 36 bags of chips for $6.77 49-..; 7, q"?=_ 5: 2 5/3 j 7,?? 9,P. -4.6,17/h4 _Jo 6 (77 4 3C, g) 4 oz. of shampoo for $6.80 or 0.8 oz. of shampoo for $1.60 f5, 3 bay 5/7/ ov 191h4,. 00/Fgo5 0-214 z,
h) 4 oz. of steak for $8.32 or 0.6 oz. steak for $1.26 32 v4502/4 3 P- Iczostiol. 0)(0 ob 0-4.1 & i) Eighteen 16-oz. cans of green beans for $5.76 or one 200-oz. can for $6.00 X/(0) e S 75V )- (1c61 X16) "c),ogico 9-00 2_ao j) 2 dozen donuts for $4.50 or a box of 6 donuts for $1.20 2- '-/-,50 5,44L)M -7": 6 I 2- / 1-1L 5 0 77 htit *20 7 (42 gco-voz, 7:- 5 66,14S Target B-2 Students will be able to solve problems involving Positive rational numbers. 21. Evaluate. ;20 MOutiker -, 3 1 5 C) - - X - 4 4 12 ti 4- -5-- 5 / 7-+-Y c/2 _ 56 3+ -
d) + ) 3/ GI 7 3 / 3 5 e) 5-4 6 5 - Lt- 3 5 5-50 r _ - /65 7, 22. Insert one set of brackets to make the following statements true, and justify your answer., 2 1 a) ( 1 + = 3 b) 2) 5 + x = 1-1 3 4 5 3 3-2 23. Mr. Mathewson's Grade 9 Science class has created two data file i. is 2 9 megabytes, while the other file is 4.5 megabytes. How much larger is the second file than the first? 115 gigy- - 02 4- rg 24. Doug has a shelf 9 34 inches long for storing CDs. Each CD is 2 inch wide. 8 fit on one shelf? 21 /i 3 L9f 4, 3 How many CDs will 13, Lq_ 3 7:--1!' computer. One file It: ±.2.1) * 3 ) 3 9 3 2' 24 7 25. Karen's favourite chocolate bar has 230 Calories. The nutrition label states that. of the Calories come from fat. How many Calories in the chocolate bar come from fat? o2,0 30 X I- /0 r _, a C D$ fh ) lovit,r.; are
26. Luke is building a -91 scale model of a race car. If the tires on the actual car are 33 inches in diameter, what is the diameter of the tires on the model? 3-3 3 3 c iftche6 5 ( j&fle fit"; 27. One bag of potting soil contains 8.25 L of soil. How many clay pots can be filled from one bag of potting soil if each pot holds L? s 5 0175 P, 5 28. Alex's recipe for cookies calls for 2.5 cups of flour. If she wants to make of a batch of cookies, how much flour should she use? 5 a... 3 5 I X 5 V I 3 2 29. A box of cereal contains 15 - ounces of cereal. If a bowl holds 2- ounces of cereal, how 5 5 many bowls of cereal are in one box?...,...,_ ri *..5-7.?.. -...- 0 0...-- I )--- --', 5 of -E-I caar, LI I 3 / -6. 30. Hannah's car used - of a tank of gas to cross Arizona. The gas tank in her car holds 55.5 L. 4 How many liters of gas did it take to cross Arizona? 5._...----- 4111 Lit 333 S5-2# L oc. q,s c-174 55,5 x0/75 2 31. Ned pours 7-5 ml of water rom a beaker containing 10-41 ml. How much water is left in the beaker? 3 7. LI 5 A) 5 57 0-0 7. ;25 0,ruencenad L rs\ 5) tyl I Of' C CreCI bucui Lf.0
Mental Math: Ratio and Rates #2 Name: Value: /20 A. Express each ratio or rate in the simplest form. 1) 15:5 2) 99:33 3) 6 to 36 4) 6 out of 16 5) 24 boys to 15 girls 6) 590 km on 10 litres 7) $0.96 for 12 grams 8) $4.88 for 4 pounds 9) 4.6 inches of rain in 2 months 10) 400 meters in 25 seconds 11) $48 for a half dozen roses 12) $96 for 8 movie tickets B. Solve the unknown value for each ratio. a) 120:70 = 12:k b) p:7: 27:63 c) 5:s = 45:72 d) t:75: 2:15 d) 1:3:9 = 3: :18 e) 24:16:8 = :4:2 f) 10: :15 = 30:75: