6th Grade Number Sense Focus Standards Sample. 1 Complete the ratio to form a proportion. A 10 B 5 C 4 D 8. 2 Simplify A 7 B 1 C 1 D 7

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1 6th Grade Number Sense Focus Standards Sample Name: Questions ate: 1 omplete the ratio to form a proportion Simplify Simplify ( 4) Simplify opyright by Pearson Education Page 1 of 20

5 Simplify. 23 + ( 5) 28 18 18 28 6 Simplify. 8 ( 3) 11 5 5 11 7 Use the circle graph below.

2 5 Simplify ( 5) Simplify. 8 ( 3) Use the circle graph below. What percent of students jobs is NOT in restaurants? 10% 45% 55% 30% opyright by Pearson Education Page 2 of 20

3 8 Use the table below. hoose the correct rule for the function. y = x + 1 y = 2x 1 y = x 1 y = 2x Use the table below. Find the value of y for x = Triangle is similar to triangle XYZ. If the measure of angle is 60, what is the measure of angle Y? opyright by Pearson Education Page 3 of 20

4 11 model airplane is 6 cm long. The scale of the model is 1 cm : 3.3 m. How long is the actual airplane? 19.8 m 198 m 55 m 18.1 m opyright by Pearson Education Page 4 of 20

12 hoose the circle graph that represents the data in the table.

Students listening to music 26 exercise 18 spending time with

5 12 hoose the circle graph that represents the data in the table. Favorite Weekend ctivity of 100 Students ctivity Number of Students listening to music 26 exercise 18 spending time with family 12 spending time with friends 44 The darkest shaded section represents listening to music. The unlabled shaded section represents listening to music. opyright by Pearson Education Page 5 of 20

6 13 picture frame measures 4 in. by 8 in. You want to make a simlilar frame with a 16 in. long side. What is the length of the short side of the new frame? 6 in. 12 in. 8 in. 10 in. 14 lyde made a model of his favorite type of car. His model is 6 inches long, and the actual length of the car is 15 feet. What is the scale of lyde s model? 1 in. : 15 in. 1 in. : 18 in. 1 in. : 24 in. 1 in. : 30 in. opyright by Pearson Education Page 6 of 20

7 15 hoose the circle graph that represents the data in the spreadsheet. opyright by Pearson Education Page 7 of 20

8 16 Which ratio can form a proportion with the fraction? 17 Which pair of ratios can form a proportion? 18 local grocery store is advertising a special on picnic supplies. harcoal is priced at 3 bags for $ Use the following proportion to find the cost of 5 bags of charcoal. $15.50 $18.40 $19.17 $ Which pair of ratios does not form a proportion? and and and and opyright by Pearson Education Page 8 of 20

75 21 Graph the simple interest earned over 3 years on $1,000 invested at an annual rate

9 20 Four tickets at an amusement park cost $7.00. How much do six tickets cost? $4.67 $3.43 $10.50 $ Graph the simple interest earned over 3 years on $1,000 invested at an annual rate of 6%. 22 Eugene borrows $250 at a 4% interest rate. How much simple interest will he owe in a year? $10 $15 $18 $20 opyright by Pearson Education Page 9 of 20

10 23 Mr. Werner works at a computer store. He receives a 20% discount off all merchandise as an employee benefit. Which proportion can be used to find a, the amount of the discount Mr. Werner will receive on a computer system that normally costs $1,650? 24 You and a friend go to lunch. The bill is $ How much should you leave for a 15% tip? Round to the nearest cent if necessary. $1.88 $2.81 $3.75 $ Luke s dinner bill is $ He plans to leave a 20% tip. Which of the following is the closest estimate of the tip? $7.00 $8.00 $9.00 $ The estimated cost to repair hen s bicycle is $ The owner of the bike shop tells hen that the actual cost to repair the bike will be no higher than 10% more than the estimated cost. Which is the closest estimate of the most hen can expect to pay for the bicycle repair? $30.00 $31.00 $32.00 $33.00 opyright by Pearson Education Page 10 of 20

11 27 Sue s bank pays her a simple yearly interest rate of 4.8% on the money in her college savings account. She opens her account with $812. Which is the closest estimate of the amount of interest her account will have earned after one year? $30 $32 $40 $42 28 Find the amount of a 15% tip on a $7.15 lunch bill. $1.72 $1.07 $1.50 $ Find the total cost of a $24.78 bill with a 20% tip. $30.00 $29.78 $4.96 $ The price of a new edition of a book is 110% of the price of the original edition. The original edition cost $ What is the cost of the new edition? $32.95 $31.05 $30.06 $3 31 store is having a sale in which all items are 20% off. How much would you pay for a video game that originally cost $45? $25 $36 $44.80 $45.20 opyright by Pearson Education Page 11 of 20

12 32 Find the simple interest on the principal amount $590 with a 5% interest rate. $29.50 $30.00 $2.95 $ If you save $700 at an annual interest rate of 4.25%, how much money would you have in the account at the end of one year? $ $ $ $ You deposit $1,600 in a bank account that pays 6% interest annually. What is the balance after one year? $1, $1, $2, $1, Find 48% of Find 145% of opyright by Pearson Education Page 12 of 20

13 37 Find 150% of % of 90 is what number? class has 20 students. Sixteen of the students know the answer to a particular math question. What percent of the students know the answer? 80% 16% 4% 20% 40 In one city the rainfall in July was 110% of the month s normal rainfall. If the normal rainfall is 3.2 inches, what was July s rainfall that year? 2.88 in in in in % of what number is 42? opyright by Pearson Education Page 13 of 20

14 42 What percent of 35 is 21? 14% 21% 40% 60% 43 Gina plans to buy a birdbath for her garden. The birdbath costs $ The sales tax rate in her state is 8.25%. What will be the total cost of the birdbath? $73.35 $86.55 $88.20 $ Trey pays $34.25 for dinner. If he leaves a 15% tip, how much will he spend on dinner and the tip? $37.69 $38.94 $39.08 $ mber bought a shirt on sale for $12. The original price was $15. Find the percent of discount. 20% 24% 27% 30% 46 music store buys compact discs for $9.90 each. The store sells each disc for $ What is the percent of markup? 34% 48% 52% 65% opyright by Pearson Education Page 14 of 20

15 47 Marco bags groceries. fter six months on the job his pay increases from $5.25 per hour to $6.15 per hour. Find the percent increase in his hourly rate of pay. 9% 12% 15% 17% 48 Greg is paid a salary of $ per month plus 15% commission on all the furniture sales in his department. How many dollars worth of furniture does Greg s department need to sell this month for Greg to receive a $3, paycheck? $20,000 $20,500 $23,333 $26, In Spearfish, North akota, the temperature once went from 4 F to 45 F in two minutes. How did the temperature change in that two-minute period? 41 degrees colder 41 degrees warmer 49 degrees colder 49 degrees warmer 50 What is the value of 15 ( 33)? opyright by Pearson Education Page 15 of 20

16 51 What is the missing value in the function table below? Input Output ? Use an equation to solve. What percent of 62 is 37.2? 6% 60% 0.6% 1.6% 53 Use an equation to solve. 128 is 32% of what number? opyright by Pearson Education Page 16 of 20

17 54 Use the sequence below. 3, 5, 7, 9,... hoose the correct table to represent the sequence. 55 Use the sequence below. 3, 5, 7, 9,... hoose the correct variable expression for the rule. Then find the 100th term. 2n 1; 201 2n + 1; 201 2n + 1; 199 2n 1; Use a proportion to solve. What is 32% of 160? opyright by Pearson Education Page 17 of 20

18 57 Use a proportion to solve. What percent of 64 is 56? 0.875% 8% 8.75% 87.5% 58 The figures are similar. Find the missing value. x = 9, y = 15 x = 12, y = 20 x = 18, y = 30 x = 20, y = etermine whether the ratios in the pair form a proportion. yes no 60 Simplify opyright by Pearson Education Page 18 of 20

19 61 Simplify Simplify Simplify Simplify opyright by Pearson Education Page 19 of 20

20 65 scale drawing has a scale of 1 in. : 8 ft. Find the actual length for each drawing length. 12 in. 72 ft 144 ft 96 ft 120 ft 66 Use the function rule. Find y for x = 1, 2, and 3. y = x + 5 5, 6, 7 6, 7, 8 1, 2, 3 7, 8, 9 67 Use the function rule. Find y for x = 1, 2, and 3. y = 3x 4 1, 2, 5 2, 5, 8 5, 8, 11 1, 2, 5 68 Use the function rule. Find y for x = 1, 2, and 3. Which function rule describes the number d of days in w weeks? d = 7w 7d = w d = 5w 12d = w opyright by Pearson Education Page 20 of 20

Answer each of the following. 1) What is the difference between a ratio and a rate? 2) What is a unit rate? 3) What is a proportion?

ARE YOU READY? 7 th Grade Accelerated Chapter 7 Vocabulary Name: Date: Block: Answer each of the following. 1) What is the difference between a ratio and a rate? 2) What is a unit rate? 3) What is a proportion?