BC Math 8

Here you will find practice problems aligned with the BC Math 8 curriculum. Visit this page directly at hunkim.com/8

BC Math 8 Youtube Playlist

Click here for a concise playlist on BC Math 8 practice problems. Each math video is about 5 minutes long and can be used as lesson examples or for reviewing the course. Subscribe to the channel if you find these videos useful!

BC Math 8 Curriculum Overview

1. Integers Review
2. Squares and Cubes
3. Operations with Fractions
4. Percents, Decimals, and Fractions
5. Basic Algebra, and Two-Step Equations
6. Proportional Reasoning
7. Order of Operations: BEDMAS
8. Pythagorean Theorem
9. Area, Volume, and Nets
10. Central Tendency
11. Theoretical Probability
12. Discrete Linear Relations
13. Financial Literacy

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BC Math 8 Integers Review

Adding, subtracting, multiplying, and dividing integers correctly is essential in mastering this course.

1. 345+678
   Solution
   1023
   
   
2. 1234+567
   Solution
   1801
   
   
3. 75-123
   Solution
   -48
   
   
4. 34-281
   Solution
   -247
   
   
5. Locate -2 on a number line
   Solution
   
   
   
6. Sign-Bracket-Sign Problems:
   1. 2+(-3)
      Solution
      -1
      
      
   2. 5-(-7)
      Solution
      12
      
      
   3. 6+(+1)
      Solution
      6+(+1)
      
      
   4. 5-(+4)
      Solution
      5-(+4)
      
      
7. Evaluate 3-(-1)+(-2)+(+1)
   Solution
   3
   
   
8. Multiplying and Dividing Positive and Negative Numbers
   1. 3\times-2
      Solution
      -6
      
      
   2. -3\times-3
      Solution
      9
      
      
   3. -12\div4
      Solution
      -3
      
      
   4. (-4)(+5)
      Solution
      -20
      
      
   5. 2(+3)
      Solution
      6
      
      
   6. 3(-2)
      Solution
      -6
9. Evaluate -4(-5)
   Solution
   20
   
   
10. BEDMAS Problems
    1. 3+3\times3
       Solution
       12
       
       
    2. 4+8\div 2-1
       Solution
       7
       
       
    3. 2-3\times 4
       Solution
       -10
       
       
    4. 2+(-1)-5\times 5-(-3)
       Solution
       -21
       
       
11. Evaluate 3-2(-3)+5
    Solution
    14
    
    
12. Strange Operations
    1. \frac{0}{1}
       Solution
       0
       
       
    2. \frac{0}{5}
       Solution
       0
       
       
    3. \frac{1}{1}
       Solution
       1
       
       
    4. \frac{1}{0}
       Solution
       Undefined
       
       
    5. 0\times 1
       Solution
       0
       
       
13. Evaluate \frac{0}{1}+\frac{0}{3}
    Solution
    0
    
    
14. Evaluate \frac{2}{0}
    Solution
    Undefined
    
    
15. Evaluate 1(0)
    Solution
    0
    
    
16. Use mental math to evaluate:
    1. 30\times 400
       Solution
       12,000
       
       
    2. \frac{8000}{200}
       Solution
       40
       
       
17. Evaluate 20\times \frac{1600}{80}
    Solution
    400
    
    
18. Memorize the times table up to 10\times 10
    1. 5\times9
       Solution
       45
       
       
    2. 4\times8
       Solution
       32
       
       
    3. 7\times6
       Solution
       42
       
       
19. Use mental math to evaluate up to 20\times20
    • 8\times14
      Solution
      112
      
      
    • 13\times15
      Solution
      195
      
      
    • 19\times19
      Solution
      361
      
      
    • 18\times17
      Solution
      306
      
      
20. Evaluate 16\times14
    Solution
    224
    
    
21. Challenge: When multiplying two-digit numbers that are two apart such as 14\times 16, why is the product the middle number squared minus 1? Ex. 15^2-1=224

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Squares and Cubes

• Perfect square and cubes:
  • Using colour tiles, pictures, or multi-link cubes
  • Building the number or using prime factorization
• Square and cube roots:
  • Finding the cube root of 125
  • Finding the square root of 16/169
  • Estimating the square root of 30

1. 3^2
   Solution
   9
   
   
2. 4^2
   Solution
   16
   
   
3. (-5)^2
   Solution
   25
   
   
4. (-7)^2
   Solution
   49
   
   
5. 4^3
   Solution
   64
   
   
6. 5^3
   Solution
   125
   
   
7. -5^3
   Solution
   -125
   
   
8. -2^3
   Solution
   -8
   
   
9. (-2)^3
   Solution
   -8
   
   
10. (-3)^3
    Solution
    -27
    
    
11. 0^2
    Solution
    0
    
    
12. 0^3
    Solution
    0
    
    
13. \left(\frac{2}{3}\right)^2
    Solution
    4/9
    
    
14. \left(\frac{3}{5}\right)^2
    Solution
    9/25
    
    
15. \sqrt{49}
    Solution
    7
    
    
16. \sqrt{100}
    Solution
    10
    
    
17. \sqrt{289}
    Solution
    17
    
    
18. \sqrt{225}
    Solution
    15
    
    
19. \sqrt{1}
    Solution
    1
    
    
20. \sqrt{0}
    Solution
    0
    
    
21. \sqrt{0.04}
    Solution
    0.2
    
    
22. \sqrt{0.0009}
    Solution
    0.03
    
    
23. \sqrt{\frac{16}{169}}
    Solution
    4/13
    
    
24. \sqrt{\frac{121}{25}}
    Solution
    11/5
    
    
25. \sqrt[3]{8}
    Solution
    2
    
    
26. \sqrt[3]{27}
    Solution
    3
    
    
27. \sqrt[3]{8000}
    Solution
    20
    
    
28. \sqrt[3]{1000}
    Solution
    10
    
    
29. \sqrt[3]{-8}
    Solution
    -2
    
    
30. \sqrt[3]{-1}
    Solution
    -1
    
    
31. \sqrt[3]{\frac{1000}{64}}
    Solution
    5/2
    
    
32. \sqrt[3]{\frac{125}{-27}}
    Solution
    -5/3
    
    
33. \sqrt{-25}
    Solution
    Undefined
    
    
34. \sqrt{-9}
    Solution
    Undefined
    
    
35. Estimate the square root of 30
    Solution
    Between 5 and 6
    
    
36. Estimate the square root of 70
    Solution
    Between 8 and 9
    
    
37. Enrichment: Estimate \sqrt{30} using iterations of Heron’s formula y=\frac{1}{2}\left(a+\frac{x}{a}\right) where x is the non-perfect square and a is the closest perfect square to x.
    
38. What are the 4 positive perfect squares?
    Solution
    1, 4, 9, 16
    
    
39. What are the first 4 positive perfect cubes?
    Solution
    1, 8, 27, 64
    
    
40. Is 9 a perfect cube?
    Solution
    No
    
    
41. Is 49 a perfect square?
    Solution
    Yes
    
    
42. Use the prime factorization of 1296 to find its square root.
    Solution
    =\sqrt{4\times 4\times 9\times 9}=36
    
    
43. Use the prime factorization of 900 to find its square root.
    Solution
    \sqrt{30\times 30}=30
    
    
44. Use the prime factorization of 216 to find its cube root.
    Solution
    \sqrt[3]{216}=\sqrt[3]{2\times 2\times 2\times 3\times 3\times 3}=2\times 3=6
    
    
45. Use the prime factorization of 1000 to find its cube root.
    Solution
    \sqrt[3]{1000}=\sqrt[3]{10\times 10\times 10}=10
    
    
46. Enrichment: What are the prime factors of 900?
    Solution
    2, 3, 5
    
    
    
    

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Operations with Fractions

• Fractions: addition, subtraction, multiplication, division, and order of operations
• Includes the use of brackets, but excludes exponents
• Using pattern blocks or Cuisenaire Rods
• Simplifying \frac{1}{2}\div \frac{9}{6}\times\left(7-\frac{4}{5}\right)
• Drumming and song: 1/2, 1/4, 1/8, whole notes, dot bars, rests = one beat
• Changing tempos of traditional songs dependent of context of use
• Proportional sharing of harvests based on family size

1. Visually represent \frac{1}{4}
   Solution
   
   
   
   
   
2. Visually represent \frac{2}{3}
   Solution
   
   
   
   
   
3. Simplify \frac{1600}{120}
   Solution
   \frac{40}{3}
   
   
4. Simplify \frac{2500}{150}
   Solution
   \frac{50}{3}
   
   
5. What is one half of one fourth of a pizza?
   Solution
   \frac{1}{8}
   
   
6. What is two-thirds of half a pizza?
   Solution
   \frac{1}{3}
   
   
7. Express \frac{9}{5} as a mixed fraction.
   Solution
   1 \frac{4}{4}
   
   
8. Express \frac{11}{3} as a mixed fraction.
   Solution
   3 \frac{2}{3}
   
   
9. Express 2 \frac{3}{4} as an improper fraction.
   Solution
   \frac{11}{4}
   
   
10. Express \frac{2}{3} as an improper fraction.
    Solution
    \frac{17}{3}
    
    
11. \frac{-2}{3}=\frac{2}{k}. Find k.
    Solution
    k=-3
    
    
12. \frac{3}{-5}=\frac{9}{k}. Find k.
    Solution
    k=-15
    
    
13. Multiplying fractions
    1. \frac{2}{3}\times\frac{1}{5}
       Solution
       2/15
       
       
    2. \frac{3}{4}\times\frac{2}{5}
       Solution
       3/10
       
       
    3. \frac{3}{5}\left(\frac{2}{3}\right)
       Solution
       2/5
       
       
    4. \frac{2}{7}\left(\frac{1}{2}\right)
       Solution
       1/7
       
       
    5. \frac{-3}{5}\times-2
       Solution
       6/5
       
       
    6. -3\times\frac{4}{-5}
       Solution
       12/5
       
       
    7. 2\left(-\frac{1}{4}\right)
       Solution
       -1/2
       
       
    8. -3\left(\frac{4}{3}\right)
       Solution
       -4
       
       
    9. 3 \frac{1}{2}\times \frac{3}{4}
       Solution
       21/8
       
       
    10. \frac{3}{5}\times 2 \frac{1}{2}
        Solution
        3/2
        
        
14. Dividing fractions:
    1. \frac{2}{3}\div\frac{3}{4}
       Solution
       \frac{8}{9}
       
       
    2. \frac{3}{5}\div\frac{2}{7}
       Solution
       \frac{21}{10}
       
       
    3. 4\div \frac{2}{3}
       Solution
       6
       
       
    4. 3\div\frac{5}{11}
       Solution
       \frac{33}{5}
       
       
    5. 2 \frac{2}{3}\div\frac{4}{5}
       Solution
       \frac{10}{3}
       
       
    6. 3 \frac{1}{2}\div\frac{2}{3}
       Solution
       \frac{21}{4}
       
       
    7. Evaluate \frac{\left(\frac{3}{4}\right)}{\left(\frac{2}{3}\right)}
       Solution
       \frac{9}{8}
       
       
    8. Evaluate \frac{\frac{1}{3}}{\frac{4}{5}}
       Solution
       \frac{5}{12}
       
       
15. Adding and subtracting fractions
    1. \frac{2}{3}+\frac{3}{5}
       Solution
       \frac{19}{15}
       
       
    2. \frac{3}{5}+\frac{2}{6}
       Solution
       \frac{14}{15}
       
       
    3. \frac{4}{3}-\frac{1}{2}
       Solution
       \frac{5}{6}
       
       
    4. \frac{4}{3}-\frac{2}{5}
       Solution
       \frac{14}{15}
       
       
16. BEDMAS with Fractions
    1. \frac{3}{4}+3\times\frac{2}{3}
       Solution
       \frac{11}{4}
       
       
    2. \frac{2}{3}-5+2\left(\frac{3}{5}\right)
       Solution
       -\frac{47}{15}
       
       
    3. \frac{1}{2}\div \frac{9}{6}\times\left(7-\frac{4}{5}\right)
       Solution
       \frac{31}{15}
       
       
    4. \frac{2}{3}\div\frac{4}{5}\times\left(\frac{2}{3}-1\right)
       Solution
       -\frac{5}{18}
       
       
    5. 9-3\div \frac{1}{3}+1
       Solution
       1
       
       
    6. \frac{4}{5}-2\div \frac{2}{3}-2
       Solution
       -\frac{21}{5}
       
       
17. 1200 bushels of hay is shared between two families.  One family has 4 members, and the other family has 6 members.  If the hay is shared fairly, how many bushels of hay should the larger family receive?
    Solution
    720
    
    
18. 2400 cookies are shared between two clans. One clan has 8 members, and the other clan has 6 members. If the cookies are shared fairly, how many cookies show the smaller clan receive?
    Solution
    \frac{7200}{7} cookies

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Percents, Decimals, and Fractions

• Percents less than 1 and greater than 100 (decimal and fractional percents):
• A worker’s salary increased 122% in three years. If her salary is now $93,940, what was it originally?
• What is 1/2% of 1 billion?
• The population of Vancouver increased by 3.25%. What is the population if it was approximately 603,500 people last year?
• Beading

1. 123\div5
   1. Express as a mixed fraction
      Solution
      24\frac{3}{5}
   2. Express as an improper fraction
      Solution
      \frac{123}{5}
   3. Express as a decimal number
      Solution
      24.6
2. Express 0.4 as a simplified fraction
   Solution
   2/5
3. Express as a fraction:
   1. 0.\bar{3}
      Solution
      1/3
   2. 0.\bar{6}
      Solution
      2/3
   3. 2.\bar{6}
      Solution
      8/3
4. Express as a percent:
   1. 0.2
      Solution
      20%
   2. 3.14
      Solution
      314%
5. Express \frac{2560}{12800} as a decimal number
   Solution
   0.2
6. Express \frac{1}{2} of 8% as a simplified fraction
   Solution
   1/25
7. Express 20% of \frac{100}{3} as a decimal number
   Solution
   6.\bar{6}
8. What is \frac{1}{2}% of 1 billion?
   Solution
   5 million
9. Express \frac{0.002}{0.08} as a percentage
   Solution
   2.5%
10. You buy a new phone for $600. If tax is 12%, how much do you pay in taxes?
    Solution
    $72
11. You pay $2000 dollars for a new computer. Tax is 12%. How much do you pay in total for your computer?
    Solution
    $2240
12. You pay for a $100 family meal. Taxes are 12% and you decide to tip 15%. The restaurant combines taxes and tip as 12%+15%=27%. Using this calculation, how much do you end up paying in total?
    Solution
    $127
13. You pay for a $100 family meal.  The bill shows a subtotal that includes 12% tax. A tip of 15% is then applied to this subtotal.  Using this calculation, how much do you end up paying in total?
    Solution
    $128.80
14. Compare the numbers 2 and 5. The number 2 is what percent of 5?
    Solution
    40%
15. Compare the numbers 5 and 2. The number 5 is what percent of 2?
    Solution
    250%
16. Your old salary is $40,000. You get a 10% raise. What is your new salary?
    Solution
    $44,000
17. You invest $2. By the end of the year your money grows to be $4. How much did your money grow by? We call this “percent of change”.
    Solution
    100%
18. You invest $2. By the end of the year your money grows to be $4. Express the ratio of your new wealth to your old wealth as a percent.
    Solution
    200%
19. Find the percent of change from 12 to 4.
    Solution
    Decrease by 200%
20. You currently make $93,940. This amount is 122% of what your used to make 3 years ago. How much did you make 3 years ago?
    Solution
    $77,000
21. You currently make $60,000.  Throughout your career your salary increased by 200%.  How much did you initially make? 
    Solution
    $20,000
22. Explain how beads on a string can help you visualize fractions.
    Solution
    You can place 100 beads on a string. Each bead represents 1/100th. You can change colors every 10 beads. Each colored section represents 1/10th.

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Basic Algebra and Two-Step Equations

• Two-step equations with integer coefficients, constants, and solutions
• Solving and verifying 3x-4=-12
• Modelling the preservation of equality (ex. using a balance, manipulatives, algebra tiles, diagrams)
• Spirit canoe journey calculations

1. 2x+3x
   Solution
   5x
2. 5\pi-\pi
   Solution
   4\pi
3. 5x-2+3x+7
   Solution
   8x+5
4. Why is \frac{2}{3}x equivalent to \frac{2x}{3}?
   Solution
   \frac{2}{3}x=\frac{2}{3}\times \frac{x}{1}=\frac{2x}{3}
5. 3x=15
   Solution
   5
6. 3x-4=-12
   Solution
   -8/3
7. 4x-2x=10
   Solution
   5
8. \frac{1}{3}x+\frac{5}{3}x=4
   Solution
   2
9. \frac{5a}{2}-a=3
   Solution
   2
10. -2x=\frac{2}{3}
    Solution
    -1/3
11. \frac{x}{3}=\frac{2}{5}
    Solution
    6/5
12. \frac{3}{x}=\frac{7}{6}
    Solution
    18/7
13. \frac{2}{x}=7
    Solution
    2/7
14. Distance equals velocity multiplied by time: d=vt
    1. Find t
       Solution
       t=\frac{d}{v}
    2. Find v
       Solution
       v=\frac{d}{t}
15. Given the distance is 120 km and the time is 3 hours, find the velocity.
    Solution
    40 kph
16. Given the velocity is 20 m/s and the time is 10 seconds, find the distance.
    Solution
    200 m
17. Given the distance is 400 m and the velocity is 50 m/s, find the time.
    Solution
    8 sec
18. Enrichment:
    1. 2x>8. Find x
       Solution
       x>4
    2. \frac{1}{2}\leq3t. Find t
       Solution
       t\geq \frac{1}{6}
    3. -\frac{x}{3}<4. Find x
       Solution
       x>-12
19. What is the weight of the square on the left of the scale?
    
    Solution
    The weight of a square equals 2 circles

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Proportional Reasoning

• Rates, ratio, proportions, and percent
• Two-term and three-term ratios, real-life examples and problems
• A string is cut into three pieces whose lengths form a ratio of 3:5:7. If the string was 105 cm long, how long are the pieces?
• Creating a cedar drum box of proportions that use ratios to create differences in pitch and tone
• Paddle making

1. 2:3=\frac{4}{k}. Find k
   Solution
   6
2. The proportion of Red balls : Blue balls : Green balls is 2:3:5. There are 40 red balls. How many green balls are there?
   Solution
   100
3. The proportion of Red balls : Blue balls : Green balls is 2:3:5. There are 9 blue balls. How many balls are there in total?
   Solution
   30
4. \frac{x}{3}=\frac{2}{5}. Find x
   Solution
   6/5
5. \frac{3}{4}=\frac{9}{x}. Find x
   Solution
   12
6. 5=\frac{3}{w}. Find w
   Solution
   3/5
7. 4:5=x:3. Find x
   Solution
   12/5
8. A string is cut into three pieces whose lengths form a ratio of 3:5:7.  If the string is 105 cm long, how long is the longest piece?
   Solution
   49 cm
9. Below are parts of a canoe paddle. Estimate the ratio of the blade to the entire length of the paddle.
   
   Solution
   Less than 1/2: for example 1/3, 2/5, etc.
10. A roof that rises 4 inches for every 12 inches of run has a 4:12 pitch. The giant roof in a shape of a isosceles triangle has a base of 120 feet. What is the vertical height of the roof?
    Solution
    20 feet

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Order of Operations: BEDMAS

• Order of operations (additional practice): addition, subtraction, multiplication, division

1. 3+(-2)
   Solution
   1
2. 2-(-7)
   Solution
   9
3. 3+3\times3
   Solution
   12
4. 0\times1
   Solution
   0
5. 0\div1
   Solution
   0
6. 1\div0
   Solution
   Undefined
7. \frac{0}{0}
   Solution
   Undefined
8. \sqrt{9}+1^2
   Solution
   4
9. 0^1-1^2
   Solution
   -1
10. (-2)(-3)
    Solution
    6
11. 3(-5)
    Solution
    -15
12. -3(+2)
    Solution
    -6
13. -2(3-1)
    Solution
    -4
14. (+2)(+4)
    Solution
    8
15. 2+3-(+2)
    Solution
    3
16. (-2)^3
    Solution
    -8
17. 240\div30
    Solution
    8
18. \frac{256,000}{12,800}
    Solution
    20
19. 4\times10\div2+1
    Solution
    21
20. \frac{1}{2}+2-0.2 as a fraction
    Solution
    2
21. \frac{1}{2}\times\frac{5}{10}
    Solution
    1/4
22. 2\div\frac{3}{4}
    Solution
    8/3
23. \left(\frac{2}{3}\right)^2\div \frac{4}{5}
    Solution
    5/9
24. \frac{12}{2\times3}
    Solution
    2
25. 0^1+1^0-\frac{4}{5} as a decimal number
    Solution
    0.2
26. -2+(-1)^2-(-4)
    Solution
    3
27. \left(\frac{1}{2}\right)^2-\frac{2^3}{3}
    Solution
    -29/12
28. 2-\frac{2}{3}\div\frac{1}{2}+1
    Solution
    5/3
29. -2\left(3-\frac{1}{2}\right)\left(-\frac{3}{4}\right)
    Solution
    15/4
30. Challenge: \frac{2+\frac{1}{2}}{\frac{2}{3}-1}
    Solution
    -15/2
31. Challenge: \frac{\left(\frac{2}{3}\right)^2-1}{0.4+\left(\frac{1}{2}\right)^3} as a fraction
    Solution
    -200/189
32. Challenge: \frac{\sqrt \frac{9}{4}-\left(-\frac{1}{2}\right)^2}{1-\frac{2}{3}\div \frac{1}{2}}
    Solution
    -21/4

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Pythagorean Theorem

• Modelling the Pythagorean Theorem
• Finding a missing side of a right triangle
• Deriving the Pythagorean Theorem
• Constructing canoe paths and landings given current on a river
• First Peoples constellations

1. Find x in the diagram below:
   
   Solution
   10
2. Complete the following Pythagorean Triples:
   1. 3-4-?
      Solution
      5
   2. 5-12-?
      Solution
      13
   3. 7-24-?
      Solution
      25
   4. 8-15-?
      Solution
      17
   5. 9-40-?
      Solution
      41
   6. 30-40-?
      Solution
      50
   7. 10-24-?
      Solution
      26
3. Find the area of only the square below:
   
   Solution
   144
4. True or False: In the triangle below c^2=a^2+b^2
   
   Solution
   False: b^2=c^2+a^2
5. True or False: \theta=90^\circ in the triangle below:
   
   Solution
   True
6. True or False: \theta=90^\circ in the triangle below:
   
   Solution
   False
7. Find x in the triangle below:
   
   Solution
   \sqrt{3}
8. Find x in the object below:
   
   Solution
   120
9. Person A and B are standing across the river below. Find length AB
   
   Solution
   26
10. The cube below has a side length of 2. Find the exact length of AB
    
    Solution
    \sqrt{12}=2\sqrt{3}

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Area, Volume, and Nets

• Surface area and volume of regular solids, including triangular and other right prisms and cylinders
• Exploring strategies to determine the surface area and volume of a regular solid using objects, a net, 3D design software
• Volume = area of the base \times height
• Surface area = sum of the areas of each side
• Construction, views, and nets of 3D objects:
  • Top, front, and side views of 3D objects
  • Matching a given net to the 3D object it represents
  • Drawing and interpreting top, front, and side views of 3D objects
  • Constructing 3D objects with nets
  • Using design software to create 3D objects from nets
  • Bentwood boxes, lidded baskets, packs

1. See rectangle below:
   
   1. Perimeter?
      Solution
      14
   2. Area?
      Solution
      10
2. The area of the square below is 25. Find x
   
   Solution
   5 m
3. The diameter of the circle below is 8.
   
   Recall that C=\pi d=2\pi r. A=\pi r^2
   Use the correct formula to find:
   1. The circumference of the circle
      Solution
      8\pi
   2. The area of the circle
      Solution
      16\pi
4. Let d be the diameter of a circle. Let r be the circle’s radius. Then d=kr. Find k
   Solution
   2
5. See the cube below:
   
   1. Volume?
      Solution
      27 units cubed
   2. Area including the bottom?
      Solution
      54 units squared
6. See the rectangle below:
   
   1. Volume?
      Solution
      80 units cubed
   2. Surface area not including the bottom?
      Solution
      96 units squared
7. See object below:
   
   1. Perimeter?
      Solution
      12+2\pi
   2. Area?
      Solution
      16+2\pi units squared
8. See triangle below:
   
   1. Perimeter?
      Solution
      15+\sqrt{65}
   2. Area?
      Solution
      20 units squared
9. Find the area of the triangle below:
   
   Solution
   24 units squared
10. What is the area of the shaded triangle below?
    
    Solution
    20 units squared
11. See ramp below:
    
    1. Volume?
       Solution
       90 units cubed
    2. Area of the shaded top?
       Solution
       39 units squared
    3. How many sides does the ramp have?
       Solution
       5
    4. How many corners (vertices) does the ramp have?
       Solution
       6
    5. How many edges does the ramp have?
       Solution
       9
    6. Draw a net diagram
       

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Central Tendency

• Mean, median, mode

1. Find the average of the numbers 10 and 20
   Solution
   15
2. Find the mean of the numbers 2, 10, and 9
   Solution
   7
3. Find the mean of the numbers 2 and 5
   Solution
   3.5
4. Find the mean of the numbers 10, 20, 40, and 1000000
   Solution
   250017.5
5. Find the median of the numbers 5, 10, 20, 30, 50
   Solution
   20
6. Find the median of the numbers 5, -2, 100, 50, 10
   Solution
   10
7. Find the median of the numbers 5, 10, 20, 60
   Solution
   15
8. Give an example of when knowing the median is preferable to knowing the average
   Solution
   Average hourly wage may be misleading when one person makes a lot ex: 15, 20, 30, 1000. The average of these numbers is much higher than the median.
9. Find the mode of 2, 5, 1, 1, 2, 7, 2
   Solution
   The mode is 2. If there are two modes, then the list is bimodal.

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Theoretical Probability

BC Math 8 Curriculum Content

• With two independent events:  sample space (ex. using tree diagram, table, graphic organizer)
• Rolling a 5 on a fair die and flipping a head on a fair coin is 1/6\times1/2=1/12
• Deciding whether a spinner whether a spinner in a game is fair

1. What is the probability of rolling a “head” when flipping a coin?
   Solution
   1/2 or 50%
2. What is the probability or rolling a 2 on a fair die?
   Solution
   1/6
3. What is the probability or rolling a 5 on a fair die and then flipping a head on a coin?
   Solution
   1/12
4. What is the probability of getting two consecutive tails?
   Solution
   1/4
5. What is the probability of getting 5 consecutive heads?
   

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Discrete Linear Relations

BC Math 8 Curriculum Content

• Two-variable discrete linear relations
• Expressions, table of values, and graphs
• Scale values (ex. tick marks on axis represent 5 units instead of 1)
• Four quadrants, integral coordinates

1. Plots the points:
   1. (2,3)
      

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Financial Literacy

• Coupons, proportions, unit price, products and services
• Proportional reasoning strategies (ex. unit rate, equivalent fractions given prices and quantities)
• Best buys

1. A regular pizza costs $20 but you have a coupon for 40% off! What is the cost of the pizza now?
   Solution
   $12
2. It is recommended that no more than 30% of your gross annual income should go to “mortgage expenses” (including principal, interest, property taxes, and heating costs).  If your gross salary is $60,000 what should be the limit of your annual mortgage budget?
   Solution
   $18 000
3. What is the best deal on apples?
   Deal A: 1 apple for $2
   Deal B: A dozen apples for $20
   Solution
   Deal B
4. What is the best deal on milk?
   Deal A: 4L of milk for $5
   Deal B: 500 mL of milk for $1.50
   Solution
   Deal A
5. What is the best cell phone deal?
   Deal A: $0 down and pay $50 per month for the next 2 years?
   Deal B: $500 down and pay $25 per month for the next 2 years.
   Deal C: $1000 to buy the item outright.
   Solution
   Deal C
6. When can it be worth it to buy the smaller item even though it costs more per unit?
   Solution
   When you buy too much perishable food, you have the throw some away.
7. Amazon Prime Canada costs $7.99 per month. How much does this cost each year including 12% taxes?
   Solution
   $107.39
8. See the following graph to see how cars typically depreciate in value:
   
   1. How much is the new car worth in year 0?
      Solution
      $25 000
   2. How much is the car worth in year 5?
      Solution
      $10 000
   3. Compare how the car depreciates in value from year 0 to 5 verses year 5 to 10.
      

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Practice final exam here.

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