Worksheet: Ratio Tables

In this worksheet, we will practice using equivalent ratios to complete ratio tables and solve problems in real-life situations.

Q1:

The table shows the relation between time (in hours) and the distance (in kilometres) travelled by a car moving with a constant speed. Find the values of π‘Ž , 𝑏 and 𝑐 .

Time 15 π‘Ž 13 20
Distance 1β€Žβ€‰β€Ž425 1β€Žβ€‰β€Ž615 𝑏 𝑐
  • A π‘Ž = 1 7 , 𝑏 = 9 1 0 , 𝑐 = 1 4 0 0 .
  • B π‘Ž = 1 4 , 𝑏 = 1 8 0 5 , 𝑐 = 3 4 2 0 .
  • C π‘Ž = 1 4 , 𝑏 = 1 2 3 5 , 𝑐 = 1 9 0 0 .
  • D π‘Ž = 1 7 , 𝑏 = 1 2 3 5 , 𝑐 = 1 9 0 0 .

Q2:

The given ratio table shows the relationship between the number of tomatoes and peppers needed to make a salad.

Number of Tomatoes 4 8 12
Number of Peppers 2 4 6

Which of the following describes the relationship between each ratio?

  • AFor every 4 tomatoes, there are 4 peppers.
  • BFor every 2 tomatoes, there are 4 peppers.
  • CFor every 2 tomatoes, there are 2 peppers.
  • DFor every 4 tomatoes, there are 2 peppers.
  • EFor every 4 tomatoes, there are 6 peppers.

Q3:

Complete the following table:

First Number (Antecedent) Second Number (Consequent) Forms of Expressing the Ratio
3 4 3 4 or 3 ∢ 4
β‹― β‹― 3 1 3 5 or 3 1 ∢ 3 5
  • A31, 66
  • B35, 31
  • C4, 35
  • D31, 35

Q4:

Using the ratio table, determine how many people 8 pizzas would serve.

Number of Pizzas 3 4 7 8
People Served 9 12 21 ?

Q5:

Using the ratio table, determine how many people 7 pizzas would serve.

Number of Pizzas 3 5 6 7
People Served 9 15 18 ?

Q6:

Using the ratio table, determine how many people 8 pizzas would serve.

Number of Pizzas 2 4 6 8
People Served 12 24 36 ?

Q7:

Complete the following table:

First Number (Antecedent) Second Number (Consequent) Forms of Expressing the Ratio
2 5 2 5 or 2 ∢ 5
β‹― β‹― 5 3 4 or 5 ∢ 3 4
  • A5, 39
  • B34, 5
  • C29, 34
  • D5, 34

Q8:

Complete the following table:

First Number (Antecedent) Second Number (Consequent) Forms of Expressing the Ratio
3 4 3 4 or 3 ∢ 4
4 45 β‹― or β‹―
  • A 4 9 4 , 4 9 ∢ 4
  • B 4 5 4 , 4 5 ∢ 4
  • C 4 4 5 , 4 1 ∢ 4
  • D 4 4 5 , 4 ∢ 4 5

Q9:

Dalia cycles with a constant rate of 14 miles per hour. Which of the following tables represents this?

  • A
    Time (Hours) 14 28 42 56
    Distance (Miles) 1 2 3 4
  • B
    Time (Hours) 1 2 3 4
    Distance (Miles) 14 14 14 14
  • C
    Time (Hours) 1 2 3 3
    Distance (Miles) 0 14 28 42
  • D
    Time (Hours) 1 2 3 4
    Distance (Miles) 14 28 42 56
  • E
    Time (Hours) 0 14 28 42
    Distance (Miles) 1 2 3 4

Q10:

The table shows the distance a cyclist traveled. If she continued to cycle at the same rate, determine the distance she will have traveled after four minutes.

Time (min) 1 2 3 4
Distance (yd) 350 700 1β€Žβ€‰β€Ž050 ?

Q11:

Michael’s car can travel 570 miles on 15 gallons of gasoline. Using a ratio table, determine how many miles he can travel on 11 gallons.

Q12:

A shop received a shipment of 200 keyboards at a price of $7β€Žβ€‰β€Ž000. If the shop gave away 9 of them, use a ratio table to find how much money it lost.

  • A$35
  • B$31
  • C$350
  • D$315
  • E$180

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