Comparing and Scaling Test: Name: ______

(no calculators)

1.

Write each percent as a decimal

a. 56%______b. 165%______c. 1.9%______

. Write each decimal as a percent

d. 0.28 ______e.. 0.085______f. 0.135______

Find the percent of the number:

g. 55% of 70 ______h. 65% of 200 ______

i. 25% of the students in grade 7 have green eyes. If there are 60 students in the class, how many don’t have green eyes?

(calculators allowed)

2. Students were asked what kind of soft drink they preferred: cola or lemon lime. Here are their results:

Table of drink preferences / Grade 6 / Grade 7 / Grade 8
Cola / 80 / 75 / 85
Lemon lime / 70 / 90 / 80

For the following questions state whether the statements are true or false, giving mathematical reasons to support your answers.

a.  5 more 8th graders prefer cola to lemon lime:

b.  The ratio of 7th graders who prefer cola to lemon line is 15 to 12.

c.  50% of the students in grade 6 prefer cola.

d.  of the 6th graders prefer cola.

From the table of drink preferences find:

e. The percentage of students at each grade level that prefer cola. (1 decimal place or 1dp)

Grade 6: Grade 7: Grade 8:

f. The percent of students who were asked about drinks that were seventh graders.

3. Rei, Ashleigh and Sara Lee share €240 in the ratio 4 : 5 : 3.

How much money do they each receive?

4. So far this year, the ISA basketball team has won 22 games and lost 6 games.

a.  Write the ratio of games won to games played. (original & simplest form)

b.  Write the ratio of games won to games lost.(original & simplest form)

c.  What percent of their games did ISA win? (1 decimal place) Show calculations

d.  What percent of their games did ISA lose? (1 decimal place)Show calculations

5. Abhitosh went to the store to buy some bubble gum.

The gum was sold in two packages:

5 sticks for 49c or 10 sticks for 99c.

You are to show which option is the better buy and why-show calculations

6.

a. How many girls are in the ISA Upper School?

Show calculations

b. If one teacher is hired for every 25 students, how many teachers are there at ISA Upper School?

7. The class decided to buy Ms. Adams a gift as she is leaving to teach at Bali International School. Boys and girls contributed in a ratio 5:4. If the gift cost €270, how much did the girls contribute or give? Show Calculations.

8. The table below shows the top ten American movies in terms of earnings.

Rank / Movie / Earnings (millions)
1 /
Titanic
/ $600.4
2 /
Star Wars: Episode IV - A New Hope
/ $460.3
3 /
Shrek 2
/ $457.6
4 /
E.T. the Extra-Terrestrial
/ $444.9
5 /
Star Wars: Episode I - The Phantom Menace
/ $441.1
6 /
Pirates of the Caribbean: Dead Man's Chest
/ $433.4
7 /
Spider-Man
/ $427.7
8 /
Star Wars: Episode III - Revenge of the Sith
/ $380.3
9 /
The Lord Of The Rings: The Return of The King
/ $377.0
10 /
Spider-Man 2
/ $373.4
Total earnings / $4396.1

http://www.movieweb.com/movies/boxoffice/alltime.php

a.  (i) Write a fraction that compares the earnings of Star Wars:Episode I and total earnings.

(ii) By estimating each value to the nearest hundreds write (i) as a fraction and simplify.

b.  (i) Write a ratio that compares Star Wars: Episode III to Titanic.

(ii) By estimating each value to the nearest hundreds write (i) as a fraction and simplify.

(iii) Using your fraction from (ii) how many times bigger was the amount that Titanic earned than Star Wars: Episode III?

Level 5

9. Of the 756 students in Stanley middle school, 44% participate in sports, 29% play in the band and 37% take the bus to school.

e.  How many students in Stanley school participate in sports?

f.  How many students in Stanley school take the bus to school?

c. How many students in Stanley school play in the band?

d. If you add up the percents of student who play sports, play in the band and take the bus to school, you get 110%. Explain why the percents do not add to 100%.

10. Use ratios or fractions to find the value x.

Part I

a.

20cm 4cm

x cm

25cm

b. Use ratios or fractions to compare the areas of the two figures in simplest form.

Area formula for a rectangle is

Part II

9cm y cm

2cm 20cm

20cm

a. Use ratios or fractions to find y.

b. Use ratios and fractions to compare the areas in simplest form.

Area formula for a triangle is

Level 6 –Unfamiliar Questions

11. Use fractions or ratios for each – set up an equation and solve for the unknown.

a.  At a camp the cook scrambled 20 eggs for every 3 swimmers. How many eggs did he need for the 288 swimmers at the camp?

b.  The Yellow Bike rental company charges €13 to rent 2 bikes. How much would it cost to rent 12 bikes?

c. 

d. 

12. A chemistry student is looking the contents of rust, and she finds that it is made of iron and oxygen. She tests several amounts of rust and produces the following data:

Amount of rust (grams) / Amount of iron (grams) / Amount of oxygen (grams)-
50 / 35.0 / 15.0
100 / 70.0 / 30.0
135 / 94.5 / 40.5
150 / 105.0 / 45.0

a.  If the student looked at 400 grams of rust, how much iron and how much oxygen would she find?

b.  Is the ratio of the amount of iron to the amount of rust constant? If so what is it?

13.

1.  Domino’s pizza introduced a new pizza called the Giant metre pizza to compete with New York pizzas 2 pizzas for the price of 1 offer.

2.  The Giant metre is two 1 square metre pizzas put together. Domino’s advertisement claims that the Giant metre is 25% larger the two New York 1 metre round pizzas.

3.  A Giant metre costs €8.99 whilst two 1 metre round pizzas from New York pizza costs €8.88

Domino’s Pizza: Giant Metre New York 1 metre round Pizza

1m 1m

1m

a.  Which offer gives you more pizza for your dollar? Show all work!!!!!

Remember area of a circle is

b.  Is the Giant metre pizza really 25% larger than the 2 one metre round pizzas from New York pizza? Show your working.