Grade 8 Multiple Choice Exam Questions |

These are the kinds of questions you will see in section A of a final exam.

**Instructions:**

In each question you will have 4 answer choices (A, B, C or D).

On your answer sheet, in a column, **list the numbers 1 to 10**.

Read the question out loud, then write the **best answer** beside the question number.

Calculators are **NOT** allowed (** except for question #5**).

All other calculations must be done in your head or on paper.

Make sure to **check your work** carefully with the **solutions and explanations** at the end!

**QUESTIONS**

1) A plane leaves the Montreal airport and climbs to an altitude of 3000 meters. It stays at that altitude until is descends to land in Winnipeg, 2 hours and 30 minutes after leaving Montreal.

If both cities are at sea level (altitude of 0 meteres), **which of these 4 graphs** represents the altitude of the plane in relation to time during this flight?

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2) Harry's father had a satellite dish installed. It cost $125 for the installation and $35 per month for the service. **Which row** of this table of values represents the total amount paid over the first

5 months of service?

Number of months | 1 | 2 | 3 | 4 | 5 |

Cost A | 160 | 195 | 230 | 265 | 300 |

Cost B | 125 | 160 | 195 | 230 | 265 |

Cost C | 160 | 320 | 480 | 640 | 800 |

Cost D | 35 | 70 | 105 | 140 | 175 |

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3) All together, Maria, Jacob and Trevor own 120 CDs. Jacob has 3 times as many as Maria and Trevor has twice as many as Maria. If we let *x* represent the number of CDs Maria has, **which equation** below represents this situation?

A) *x* + 3*x* + 6*x* = 120 ....................... B) 3*x* + 2*x* + *x* = 120

C) *x* + 2*x* + 6*x* = 120 ....................... D) *x* + (*x* + 3) + (*x* + 2) = 120

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4) Which expression is the simplified form of ......... **3 x – 4x – 5 + 6x – (– 3x) – 3** ?

A) 2*x* – 8 .......... B) 10*x* – 8 ..........C) 8*x* – 8 .......* *.. D) 8*x* + 8

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5) **Which student** had the highest rate of flossing their teeth?

A) Ian at 52 times in 60 days ....................... B) Anne-Marie at 29 times in 35 days

C) Janice at 71 times in 84 days ....................D) Ed at 17 times in 20 days.

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6) Which of these represents a **proportional** situation?

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7) Triangle A' B' C ' is the image of triangle ABC after a similarity transformation with centre O. What is the **ratio** of similarity?

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8) Which pair of coordinates could apply to the point P?

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9) The diagram represents a dance floor in the shape of a regular pentagon. The dimensions are shown in meters. Point C is the centre of the pentagon. What is the **area** of the dance floor?

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10) The 45° sector of this circle has an area of 100 cm². What is the **area** of the whole circle?

**Solutions**

1) B | 2) row A | 3) B | 4) C | 5) A |

6) D | 7) C | 8) B | 9) B | 10) D |

**Explanations**

1) The cities are both at sea level so start and end altitude must = 0.

2) First month is $125 + $35, then add $35 each month.

3) 3 times as many as Maria's = 3*x*, twice Maria's = 2*x*, and Maria's = *x*.

4) collect up the *x*'s and the constants (numbers).

5) A is 87%, ..... B is 83%, ..... C is 85% ..... and ..... D is 85%.

6) proportional situation must start at (0, 0).

7) We rotated and reduced the triangle in size. Since the rotation was clockwise, it is negative. The smaller triangle is 1/3 the size of the bigger one so the ratio is – 1/3.

8) Since the point is on the *x*-axis, the *y*-value must equal zero (0).

9) The pentagon is made up of 10 triangles with base = 6 m and height = 8 m (or 5 triangles

base = 12 m and height = 8 m). Since the area of a triangle is ½ (base × height), we have 10 triangles each with an area = 24 m². So Total Area = 240 m².

10) Since 45° is one-eighth the entire circle, the area = 8 × 100 cm² = 800 cm².

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