Deck 1: Review and Applications of Basic Mathematics

Question 1

Evaluate the following: 18 ÷ 3 + 6 × 2

Answer 1

18

Question 2

Evaluate the following: (20 - 4) × 2 - 8

Answer 2

24

Question 3

Evaluate the following: 18 ÷ (3 + 6) × 2

Answer 3

4

Question 4

Evaluate the following: 20 - (4 × 2 - 8)

Question 5

Evaluate the following: (18 ÷ 3 + 6) × 2

Question 6

Evaluate the following: 54 - 36 ÷ 4 + 2²

Question 7

Evaluate the following: (5 + 3)² - 3² ÷ 9 + 3

Question 8

Evaluate the following: (54 - 36) ÷ (4 + 2)²

Question 9

Evaluate the following: 5 + (3² - 3)² ÷ (9 + 3)

Question 10

Evaluate the following:

Question 11

Evaluate the following:

Question 12

Evaluate the following: (4 × 3 - 2)² ÷ (4 - 3 × 2²)

Question 13

Evaluate the following: 5[19 + (5² - 16)²]²

Question 14

Evaluate the following correct to the cent:

Question 15

Evaluate the following correct to the cent:

Question 16

Evaluate the following correct to the cent:

Question 17

Evaluate the following correct to the cent:

Question 18

Evaluate the following correct to the cent:

Question 19

Evaluate the following correct to the cent:

Question 20

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Question 21

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Question 22

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Question 23

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Question 24

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Question 25

The following mixed number has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Question 26

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Question 27

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Question 28

The following mixed number has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Question 29

The following mixed number has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Question 30

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Question 31

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Question 32

The following fraction has a repeating decimal equivalent form. Express the decimal and percent equivalent form in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits.

Question 33

The following fraction has a repeating decimal equivalent form. Express the decimal and percent equivalent form in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits.

Question 34

The following mixed number has a repeating decimal equivalent form. Express the decimal and percent equivalent form in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits.

Question 35

The following mixed number has a repeating decimal equivalent form. Express the decimal and percent equivalent form in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits.

Question 36

The following fraction has a repeating decimal equivalent form. Express the decimal and percent equivalent form in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits.

Question 37

The following fraction has a repeating decimal equivalent form. Express the decimal and percent equivalent form in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits.

Question 38

The following fraction has a repeating decimal equivalent form. Express the decimal and percent equivalent form in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits.

Question 39

The following fraction has a repeating decimal equivalent form. Express the decimal and percent equivalent form in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits.

Question 40

Convert the following fraction to its decimal equivalent and percent equivalent values, rounded to five figures:

Question 41

Convert the following fraction to its decimal equivalent and percent equivalent values, rounded to five figures:

Question 42

Convert the following fraction to its decimal equivalent and percent equivalent values, rounded to five figures:

Question 43

Convert the following mixed number to its decimal equivalent and percent equivalent values, rounded to five figures:

Question 44

Convert the following fraction to its decimal equivalent and percent equivalent values, rounded to five figures:

Question 45

Convert the following fraction to its decimal equivalent and percent equivalent values, rounded to five figures:

Question 46

Convert the following fraction to its decimal equivalent and percent equivalent values, rounded to five figures:

Question 47

Convert the following fraction to its decimal equivalent and percent equivalent values, rounded to five figures:

Question 48

Evaluate the following accurate to the nearest cent:

Question 49

Evaluate the following accurate to the nearest cent:

Question 50

Evaluate the following accurate to the nearest cent:

Question 51

Evaluate the following accurate to the nearest cent:

Question 52

Evaluate the following accurate to the nearest cent:

Question 53

Evaluate the following accurate to the nearest cent:

Question 54

Evaluate the following accurate to the nearest cent:

Question 55

Evaluate the following accurate to the nearest cent:

Question 56

Evaluate the following accurate to the nearest cent:

Question 57

Evaluate the following accurate to the nearest cent:

Question 58

Evaluate the following accurate to the nearest cent:

Question 59

Evaluate the following accurate to the nearest cent:

Question 60

Evaluate the following accurate to the nearest cent:

Question 61

Evaluate the following accurate to the nearest cent:

Question 62

Evaluate the following accurate to the nearest cent:

Question 63

Evaluate the following accurate to the nearest cent:

Question 64

What is the percent Rate if a quantity is of the Base?

Question 65

Calculate of $666.66 accurate to the cent.

Question 66

What percent is $1.50 of $11.50? Calculate to three-figure accuracy.

Question 67

What percent is 88′ of $44? Calculate to three-figure accuracy.

Question 68

$134 is what percent of $67? Calculate to three-figure accuracy.

Question 69

$1.34 is what percent of $655? Calculate to three-figure accuracy.

Question 70

of $1500 is what amount accurate to the cent?

Question 71

30 m is what percent of 3 km? Calculate to three-figure accuracy.

Question 72

500 grams is what percent of 2.8 kilograms? Calculate to three-figure accuracy.

Question 73

$559.35 is 113% of what amount? Calculate to three-figure accuracy.

Question 74

0.0505% of $50,000 is what amount? Calculate to three-figure accuracy.

Question 75

Cecilia and Nathan estimate their total cost for a vacation in Australia to be $14,775.
a) What percentage is this cost of their combined gross monthly income of $8775?
b) If 72% of their gross monthly income is already consumed by rent, taxes, car payments, and other regular living expenses, what percentage is the trip's cost of their remaining annual disposable income?

Question 76

In a basketball game, the Langara College Falcons scored % of 33 shots from the 2-point zone,
% of 15 attempts from the 3-point distance, and 79.3% of 29 foul shots (1 point each). How many points did the Falcons score?

Question 77

A provincial Minister of Education recently announced that his government's forecast expenditure of $2.68 billion on education next year represents 23.5% of the provincial budget. Rounded to the nearest million dollars, what is the province's total budget for the next year?

Question 78

Unusually high snowfall during the past winter resulted in Brockton's costs for snow plowing and removal to reach $320,200. This represents 127% of its budgeted cost. Rounded to the nearest $100, what amount did Brockton budget for snow clearance?

Question 79

Ivory hand-soap is advertised as being pure. (It floats!) How many milligrams of impurities are in a 150-gram bar of Ivory soap?

Question 80

A province's progressive income tax rates are structured as follows: 16% tax on the first $15,000 of taxable income, 26% on the next $20,000, 35% on the next $40,000, and 45% on any additional taxable income. What percentage is an individual's total income tax of his (taxable) income if his taxable income for a year is:
a) $33,000?
b) $66,000?
c) $99,000?