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Decimals Name: _________________

1. Round to the accuracy indicated.a) 263 (tens) b) 269 (tens) c) 1338 (hundreds)

d) 1358 (hundreds) e) 19 255 (thousands) f ) 19 651 (thousands)

2. Round to the number of decimal places shown in brackets.a) 1.37 (1) b) 1.33 (1) c) 1.35 (1) d) 0.236 (2)

e) 0.233 (2) f) 1.236 (1) g) 7.276 (1) h) 2.393 (2)

3. Add without a calculator. Round your answers to one decimal place.

a)

0 . 411 .68

+ 7. 37 b)

4 . 9001 . 090

+ 4 . 069 c)

3 . 707 . 48

+ 6 .96

4. Subtract without a calculator. Round your answers to the nearest tenth.

a)

17 .38− 5 .46 b)

74 .78− 38 .80

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5. Multiply without a calculator. Round your answers to the nearest tenth.

a)

17 . 4¿6 .9 b)

9 .73¿ 6 . 4 c)

1.08¿ 70 .9

6. Divide. Round your answers to one decimal place.

a)

3 .7525 b)

21 .9843 . 2 c) 1 .764÷0 .35

7. Complete the following chart by multiplying the top row by the numbers in the left-hand column. Try this question without a calculator.

X 1.0317 1.043 8.07 0.18

10

102 104.3

0.1

8. Complete the following chart by dividing the top row by the numbers in the left-hand column. Try this question without a calculator.

¿ 134.1 71.43 8.31 0.45

10

102 0.7143

0.1

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Integers – Addition and Subtraction Name: _________________

To be completed without a calculator.

1. Find each sum.

a) – 3 + (- 2) b) – 8 + (+8) c) -4 + (-5)

d) 5 + (-7) e) – 9 + 2 f) – 4 + (- 6)

g) – 8 + (- 4) h) − 5 + (− 5) i) – 4 + 3

2. Find each difference.

a) 4 − (− 3 ) b) − 5 − (− 2 ) c) 6 − (− 6 )

d) 4 − ( 4 ) e) − 7 − (− 8) f) − 7 − (3)

g) − 4 − (− 7 ) h) − 4 − 3 i) 4 − (− 7 )

3. Evaluate.

a) 5 − (− 3 )+4 b) −4 − (− 3 )+5

c) −6 − 4−3 d) −4+7−5

4. Which choice would make each statement true: >, <, =?

a) −3−4−5+3 _____ −4−3−1−(−2 ) b) 4−7+6−8 _____ −3−5−(−7 )−4

c) 5−13+7−2 _____ 4−5−(−3 )−5 d) 7−3−(−15 )−11 _____ −7−3−(−11 )−15

5. In each row, which expression has the greatest value? the least value?

a) −5−3+4 , 4−3−(−4 ) , 5−(−3)−10 b) 9−(−2 )−7 , 5−(−7 )+(−9 ) , − 5−3+6

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Integers – Multiplication and Division

To be completed without a calculator.

1. Find each product.

a) (−3 )(2) b) (−4 )(−9) c) (4 )(−3)

d) (5)( 4 ) e) −4 (−9 ) f) −4 (9 )

2. Multiply.

a) −2 (−7 ) b) −3(8 ) c) 5(−7 )

d) −5(−7 ) e) (−3 )(−7) f) (−2 )(7)

3. Find each quotient.

a) −18÷(−6 ) b) 51÷(−17 )

c) −18÷(18 ) d) 60÷(−12)

4. Divide.

a) −50

5 b) −15−5 c)

48−6

d) −1616 e)

−18−9 f)

−8127

5. Evaluate.

a) (−4 )2 b) −24 c) −33

d) (−2)5

6. Evaluate.

a) 4 (−2)3 b) (−3 )2 (−2)2

c) (5 )2(−3)2 d) (−5 )2(−3)

7. Evaluate.

a) (−6 )2÷(−3) b) −34÷(−3 )2

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c) (52÷5 )×(72÷7 )

d) (−43×3)×(32÷3 )

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Substitution Name: _________________

1. Find the value of each expression if k = 3. a) 5(k – 1) b) 5k – 1 c) 5k2 – 1 d) 5(k + 1)

2. Evaluate each expression if k = 3, h = 2. a) 7k + h b) 3(k + h) c) k2 + h d) 3(k + h)2

3. a) Evaluate each expression if a = 3, b = 2.i) 4a2b2 ii) (2ab)2

b) Comment on the results.

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Order of Operations Name: _________________

1. Evaluate. Use order of operations.

a) 5 – (3 – 4) b) (5 – 7) – (3 – 4) c) – 3(-4) – (5 – 7)

d) (3)(2) – (3 + 5) e) – (5 – 9) – (-2)(2) f) (4 – 5) – 2(3 – 4)

g) 4(-2) – ( - 8 + 4) h) (-4)(-9) – (4)(-3) i) 12(3−1)

5−8−(6−2)

2. Evaluate.

a) 2(-3)2 – 4(-2) b) -4(-2)2 – 3(-4)2 c) (- 3 - 2)2 - (2 + 4)2

d) 3( - 1 - 2) - (5 - 7)2 e) 5( - 2 + 1)3 - ( - 3 - 2)2 f) 5( - 2)2 – 3 ( - 1 - 2)3

g) 9+(8−8÷(−2 ))−10 h) (10−(3+4×(−2 ) ) )+15 i) 11×2−(3×6÷(−2 ) )

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Fractions Name: _________________

Try these questions without a calculator.

1. Write the missing information to form equivalent fractions.

a) 13=

18 b) 28=4

7 c)

38=15

d)

1= 936 e)

3=1555 f)

535

=7

2. Add.

a) 38+ 7

8 b) 13+ 1

6 c) 13+ 5

12

3. Subtract.

a) 7

15−2

5 b) 34−1

6 c) 13−1

6

4. Add.

a) 1 1

6+2 1

6 b) 3 3

4+1 3

4 c) 1 3

4+2 5

12

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5. Subtract.

a) 3 3

10−1 7

10 b) 2−1 1

4 c) 2 3

7−1 6

7

6. Multiply.

a) 12×3

5 b) 35×15

c) 34× 8

15 d) 2 1

3× 3

14

7. Divide.

a) 37÷4

5 b) 34÷7

8 c) 4÷8

9 d) 57÷10

8. Arrange the fractions in order from least to greatest in value.

a) 34, 58, 12 b)

35, 910, 3

4

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Ratio, Rate and Proportion Name: _________________

1. Write each ratio two ways (ratio form and fraction form.)

a) 3 cups of sugar to 5 cups of fruit b) 3 cans of water to one can of concentrate

c) 50 L of gas to 2 L of oil d) 1 m to 175 cm

2. For the name of each country, express the ratio of the number of consonants to the number of vowels in lowest terms. Note, Y is considered a consonant when the syllable already has a vowel.a) Canada b) Australia c) France

d) Germany e) Iceland f) Afghanistan

3. In one season, a hockey team won 40 games, lost 24 games and tied 18 games. Write a ratio in simplest terms to compare:a) games won to games lost b) games tied to games won c) game lost to games tied

4. Write the missing term(s) for the following.

a) 10 : 5 = ___ : 2 b) 1 : 6 : ____ = 3 : ____ : 9

c) 6 : ____ = 10 : 25 d) _____ : 12.5 = 0.8 : 4

5. Neptune orbits the sun 3 times in the time it takes Pluto to orbit the sun twice. a) How many orbits does Neptune complete while Pluto orbits 8 times?

b) How many orbits does Pluto complete while Neptune orbits 15 times?

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6. To make an environmentally safe furniture polish, you can combine lemon oil and mineral oil in the ratio 3:200, by volume. How much lemon oil do you need to make 10.15 L of polish?

7. Bronze is an alloy that contains the metals copper and tin in the ratio 23:2, by mass. a) What mass of each metal is present in 100 g of bronze?

b) How many grams of copper are there for 100 g of tin?

c) How many grams of tin are there for 100 g of copper? Round your answer to the nearest tenth of a gram.

8. Write as a unit rate:a) $9.48 for 3 cans of juice b) $186 for a 6-day car rental

c) 432 heartbeats in 6 minutes d) jogging 1.8 km in 12 minutes

e) 750 mL of juice for 6 people f) $129 for 12 h of work

9. Find the unit price. Round to the nearest cent.

a) $28.50 for 6 sandwiches b) $4.20 for 10 coloured markers

10. Write as a ratio in simplest form (remember: ratios have the same units!)

a) 1 min to 45 s b) 2 kg to 250 g c) 73 days to 1 year

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Measurement and Geometry Name: _________________

1. Match the figure to the formula.

a) A=l×w

b) A=1

2×b×h

c) A=b×h

d) A=s2

2. Using the formulas in question 4, find the area of the following figures. Round your answers to one decimal place.

a) rectangle: l = 8 cm, w = 3 cm

b) triangle: h= 5.3 cm, b = 7.2 cm

c) square: s= 9.3 cm

d) parallelogram: b= 9.4 cm, h = 5.2 cm

3. The area of a circle is given by A=π r 2 . Using the pi button on your calculator, find A to the nearest tenth, if r is:

a) 4 cm b) 7.2 mm

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4. Find the value of the variable. Diagrams are not to scale.

a) b)

b a y

x 60o

c 80o z d

c) d)

57o

x w x z 72o 49o y z 109o y

e) f) 26o b 65o

a b 48o a d c c