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Math 7 Final

Math 7 Final . CHAPTER 1 REVIEW. Patterns and Relations. 1. Which number is divisible by 3? 34 , 51, 68, 38 a. 34 b. 38 c. 51 d. 68. Patterns and Relations. 2. Use the divisibility rules to find all the factors of 112. a. 1 , 2, 3, 6, 7, 16, 18, 36, 56, 112

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Math 7 Final

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  1. Math 7 Final CHAPTER 1 REVIEW

  2. Patterns and Relations 1. Which number is divisible by 3? 34, 51, 68, 38 a. 34 b. 38 c. 51 d. 68

  3. Patterns and Relations 2. Use the divisibility rules to find all the factors of 112. a. 1, 2, 3, 6, 7, 16, 18, 36, 56, 112 b. 1, 2, 7, 16, 56, 112 c. 1, 2, 7, 8, 14, 16, 56, 112 d. 1, 2, 8, 14, 56, 112

  4. Patterns and Relations Identify the variable in the algebraic expression 42 – 18x. a. 42 b. 18 c. x d. there isn’t a variable

  5. Patterns and Relations Brianna earns $8 for each hour she works. Write a relation for her earnings if she works for h hours. a. $(h + 8) b. $8h c. $8h + 1 d. $(8h + 8)

  6. Patterns and Relations Write an equation for “When 19 is subtracted from a number, the answer is 21.” a. n+ 19 = 40 b. 19 = n – 21 c. n- 19= 21 d. 19 – n = 21

  7. Patterns and Relations Write an equation for the situation. Patricia has j posters. She sold 7 and has 15 left. a. j + 7 = 15 b. j = 15 + 7 c. j – 7 = 15 d. j = 22 – 7

  8. Patterns and Relations Write an equation for the sentence. The sum of 5 and a number is 14. a. 5- x = 14 b. 5x= 14 c. 5+ x= 14 d. 14 + x = 5

  9. Patterns and Relations Solve this equation: d divided by 6 equals 5. a. d = 30 b. d = 6 c. d = 25 d. d = 36

  10. Patterns and Relations Write an equation for this sentence. Then solve the equation. Six more than a number is 12. a. x+ 6 = 12, x = 6 b. 6x= 12, x = 6 c. x+ 6 = 12, x = 2 d. 6x= 12, x = 2

  11. Patterns and Relations Solve this equation: 18 = f + 9 a. f = 9 b. f = 27 c. f = 10 d. f = 2

  12. Patterns and Relations Solve this equation: 9 + 8 = y + 5 a. y = 13 b. y = 12 c. y = 7 d. y = 11

  13. Patterns and Relations Solve this equation: -5 = x - 5 a. x = -5 b. x = 5 c. x = 0 d. x = 10

  14. Patterns and Relations Solve this equation: x - 7 = 12 a. x = 19 b. x = -5 c. x = 5 d. x = -19

  15. Patterns and Relations Write an equation to find this number: a number reduced by 8 is equal to 6. Solve the equation. a. x+ 8 = 6, x = 2 b. x- 8 = 6, x = -2 c. x- 8 = 6, x = 14 d. 8- x = 6, x = 14

  16. Patterns and Relations In x weeks and 8 days, it will be Hanna’s graduation. Her graduation is in 22 days. Write an equation you can use to find the value of x. Solve the equation. a. 7x+ 8 = 22, x = 2 b. x+ 8 = 22, x = 14 c. x + 22 = 30, x = 8 d. 7x- 22 = 8, x = 4

  17. Math 7 Final CHAPTER 2 REVIEW

  18. Integers On Monday morning, Trish had $60 in her wallet. The following shows how this amount changed over the week. On Monday she earned $30! Tuesday she spent $15! Wednesday she spent $25! Thursday she earned $51! At the end of Friday she had $20 left over! How much did Trish put into, or take out of, her wallet on Friday afternoon? A) Trish took out $101B) Trish took out $81C) Trish put in $46D) Trish put in $12

  19. Integers The expression that best represents the model shown above is: A) (-5) + (+4) = 0B) (-5) + (+9) = 4C) (+9) - (+5) = 4D) (+9) - (-5) = 14

  20. Integers Jennifer thought of a number and then performed these calculations: · Add -10 · Subtract -7 · Add +5 · Subtract -3 The result was +8. What was the original number? A) +3B) +5C) +7D) +9

  21. Integers Red tiles = -1 Yellow Tiles = +1 Suppose you had a bag with 10 red tiles and 10 yellow tiles in it. If you reached in and, without looking, drew 6 tiles from the bag, how many different possible integers might these tiles model? A) 7B) 6C) 5D) 4

  22. Integers Which of the following statements does not represent the integer -5? A) 5 floors below the main floor.B) 5 km above sea level.C) A loss of 5 dollars.D) 5 years younger than your sister.

  23. Integers According to the above table, how much cooler is the boiling point of helium than the boiling point of tungsten? A) 269°CB) 5900°CC) 5631°CD) 6169°C

  24. Integers In a Magic Square, all rows (horizontal), columns (vertical) and full diagonals have the same sum. This sum is called the Magic Constant for the square. What is the Magic Constant for the Magic Square shown below? A) -13B) -12C) -11D) -10

  25. Integers The value that must replace ___ in the equation (+5) + ___ = +8 is: A) +2B) +3C) +4D) +5

  26. Integers The expression below that has the greatest result is: A) (+4) - (+3)B) (-7) - (+4)C) (+6) - (-4)D) (-2) - (-5)

  27. Integers Which of the statements below is FALSE? A) The sum of two positive integers is always positive.B) The sum of two negative integers is always negative.C) The sum of a negative integer and a positive integer is always positive.D) The sum of a negative integer and a positive integer is sometimes positive.

  28. Math 7 Final CHAPTER 3 REVIEW

  29. Fractions/Decimals/Percents Which of the following terms all have equivalent values? A) 60%, 0.6, 3/5 B) 125%, 12.5, 6/5 C) 3%, 0.3, 3/10 D) 45%, 0.45, 8/20

  30. Fractions/Decimals/Percents The decimal 1.64, converted to a fraction and reduced to lowest terms, would be: A) 1_16/25B) 1_64/100C) 1_32/50D) 1.75

  31. Fractions/Decimals/Percents A student passed a survey around her school to learn what everybody's favorite physical activity was. The results are shown in the following pie chart: To the nearest whole number, what percentage of students enjoy cycling the most? A) 81%B) 22%C) 19%D) 18%

  32. Fractions/Decimals/Percents Alex spent half her allowance paying for admission to an amusement park. She then spent half of the money she had left on ride tickets and a snack. If she returned home with $5.25, how much money did she originally have? A) $7.88B) $21.00C) $10.50D) $31.50

  33. Fractions/Decimals/Percents The fraction which has the same value as 0.1 is: A) 1/9B) 1/10C) 10/11 D) 11/10

  34. Fractions/Decimals/Percents Professor Mathemabulous says: "Bones account for about 20% of a person's total mass." A reasonable estimate for the mass of bones in a person who weighs 67.4 kg would be: A) 12 kgB) 14 kgC) 16 kgD) 18 kg

  35. Fractions/Decimals/Percents Graham has a handful of quarters (q), dimes (d), nickels (n) and pennies (p). The algebraic equation which relates the total value of the coins is: A) (0.25)q + (0.1)d + (0.5)n + (0.1)p = value in dollars B) q + d + n + p = value in dollars C) (0.25)q + (0.1)d + (0.05)n + (0.01)p = value in dollars D) (0.25)q + (0.1)d + (0.5)n + (0.1)p = value in cents

  36. Fractions/Decimals/Percents The Bay of Fundy is home to the world's highest tides. The water level at high tide averages 16 metres higher than at low tide! If the water rises 1.30 metres every 30 minutes, how long does it take to go from low tide to high tide? A) 3 hoursB) 6 hoursC) 9 hoursD) 12 hours

  37. Fractions/Decimals/Percents If the numbers 3/4, 70% and 0.72 are written in ascending order, the result would be: A) 3/4, 70%, 0.72B) 0.72, 3/4, 70%C) 0.72, 70%, 3/4 D) 70%, 0.72, 3/4

  38. Math 7 Final CHAPTER 4 REVIEW

  39. Circles and Area The diameter of the Earth at the equator is 12,756.32 km. If people were to hold hands around the world at the equator, what is a reasonable estimate as to how many people it would require? A) 13 millionB) 40 millionC) 130 millionD) 4 billion

  40. Circles and Area Jacob's tree has grown approximately 5 cm in circumference each year. The circumference of the tree is now 160 cm. How old is Jacob's tree? A) 15 yearsB) 30 yearsC) 24 yearsD) 32 years

  41. Circles and Area The students in a cooking class used their large grill to cook an enormous crêpe (and since they all love math, they cooked it in the shape of a PERFECT circle) with a circumference of 62.8 cm! What is the area of this crêpe? A) 10 square centimetersB) 20 square centimetersC) 314 square centimetersD) 1256 square centimeters

  42. Circles and Area Based on the information in the pie chart above, if you selected 10 Grade 7 students at random, how many of them would you expect to have blue eyes? A) 2B) 4C) 6D) 10

  43. Circles and Area Refer to the information in the previous question. If 36 Grade 7 students have green eyes, how many would you expect to have blue eyes? A) 112B) 36C) 28D) 20

  44. Circles and Area The distance around a circle is called its _________________ A) RadiusB) CircumferenceC) DiameterD) Area

  45. Circles and Area In the figure shown above, the perimeter of the square is 24 cm. Given this information, what is the radius of the circle inscribed within the square? A) 3.8 cmB) 12 cmC) 6 cmD) 3 cm

  46. Circles and Area Which of the following statements is true? A) The radius of a circle is equal to twice the diameter.B) The diameter of a circle is equal to twice the radius.C) The circumference of a circle is equal to twice the radius.D) The diameter of a circle is equal to half the circumference.

  47. Circles and Area Junior high students designed a coin to be used at a penny carnival that they were hosting for a nearby elementary school. The coin was 50 mm in diameter. To the nearest mm, what was the circumference of the coin? A) 79 mmB) 157 mmC) 196 mmD) 314 mm

  48. Circles and Area If there are 50 students in grade 7, and 4 of them like to play Field Hockey best, what percent of the students prefer to play no sport? A) 8B) 10C) 17D) 83

  49. Math 7 Final CHAPTER 5 REVIEW

  50. Operations with Fractions A plane, flying from Vancouver to Montreal, was 1/6 full of passengers and 1/3 full of cargo. How much space was left? A) 1/2B) 1/3C) 1/4D) 1/5

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