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Math Gr 8 Ch 1: Solving Problems

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52 Questions

What is the formula to find the distance when speed and time are known?

Distance = Speed × Time

A machine produces 120 units in 4 hours. What is the production rate of the machine?

30 units per hour

A recipe for 8 servings requires 2 cups of flour. How many cups of flour are needed for 12 servings?

3 cups of flour

A car travels 240 km in 4 hours. What is its speed?

60 km per hour

Ashley and Ben work together to complete a task. Ashley works for 3 hours and Ben works for 2 hours. If they are to share the payment of $120 in the ratio of hours worked, how much will Ashley receive?

$72

A bakery produces 480 bread loaves in 6 hours. If the production rate increases by a factor of 2, how many bread loaves will it produce in 6 hours?

960 bread loaves

A ratio of 3:5 is equivalent to which of the following ratios?

9:15

A company exchanges 1200 units of foreign currency for local currency. If the exchange rate is 1.2 units of foreign currency per unit of local currency, how much local currency will the company receive?

1000 units of local currency

What is the formula to calculate the speed of an entity?

Distance divided by time

What is the marked price of an article?

The price marked on the article for sale

What is the formula to calculate the selling price of an article after a discount?

Marked price minus discount amount

How do you calculate a percentage of a quantity?

Multiply by the percentage and divide by 100

What is the formula to calculate the profit percentage?

(Selling price - Cost price) / Cost price

What is the formula to calculate simple interest?

Principal multiplied by rate and time

If a car travels 300 km in 5 hours, what is its speed?

60 km/h

A store offers a 20% discount on a shirt marked at $100. What is the selling price of the shirt?

$80

A company sells a product for $120, which was bought at $90. What is the profit percentage?

33.33%

If a person borrows $1000 at a simple interest rate of 5% per annum, what is the interest after 2 years?

$200

A bakery sells 240 loaves of bread at $2 each. If the cost price of each loaf is $1.5, what is the profit?

$120

A car travels from city A to city B at an average speed of 60 km/h, and returns at an average speed of 40 km/h. What is the average speed for the entire trip?

48 km/h

A factory produces 300 toys in 5 hours. If the production rate remains the same, how many toys will it produce in 8 hours?

480

A car travels 180 km in 3 hours. If the speed remains the same, how far will it travel in 5 hours?

300 km

A recipe for 12 servings requires a ratio of 2:3 of flour to sugar. If the recipe is scaled up to 18 servings, what is the ratio of flour to sugar?

2:3

A company has two machines that produce identical items. Machine A produces 80 items in 2 hours, and Machine B produces 120 items in 3 hours. What is the ratio of the production rates of Machine A to Machine B?

2:3

Ashley and Ben share a payment of $240 in the ratio of 4:5 based on the hours worked. If Ben works for 5 hours, how much will Ashley receive?

$128

A shopkeeper sells 120 units of a product at a rate of $2 per unit. If the exchange rate is 1.5 units of foreign currency per unit of local currency, how much foreign currency will the shopkeeper receive?

360 units

A pattern of beads consists of 5 red beads for every 3 blue beads. If the pattern is repeated 4 times, what is the ratio of red beads to blue beads?

5:3

A bakery increases its production rate by a factor of 1.5. If it originally produces 240 loaves in 4 hours, how many loaves will it produce in 4 hours at the new rate?

360 loaves

What is the selling price of an article with a marked price of $120, if the discount rate is 15%?

$102

If a company buys an item for $80 and sells it for $120, what is the profit percentage?

33.33%

A person borrows $2000 at a simple interest rate of 6% per annum. What is the interest after 3 years?

$480

If a factory produces 240 units in 4 hours, and the production rate increases by a factor of 1.25, how many units will it produce in 4 hours?

300

A bakery sells 300 loaves of bread at $2 each. If the cost price of each loaf is $1.6, what is the profit?

$180

If a car travels 240 km in 4 hours, and the speed increases by 20%, what is the new speed?

72 km/h

A car travels from City A to City B at an average speed of 40 km/h, and returns at an average speed of 60 km/h. If the distance between City A and City B is 240 km, what is the average speed for the entire trip?

48 km/h

A factory produces 480 units of a product in 8 hours. If the production rate increases by a factor of 1.25, how many units will it produce in 6 hours?

675 units

A recipe for 12 servings requires a ratio of 2:3 of flour to sugar. If the recipe is scaled up to 24 servings, what is the ratio of flour to sugar?

4:6

A company has two machines that produce identical items. Machine A produces 120 items in 3 hours, and Machine B produces 90 items in 2 hours. What is the ratio of the production rates of Machine A to Machine B?

3:2

A pattern of beads consists of 3 red beads for every 5 blue beads. If the pattern is repeated 6 times, what is the ratio of red beads to blue beads?

18:45

A car travels 360 km in 6 hours. If the speed increases by 20%, how far will it travel in 6 hours at the new speed?

432 km

A bakery sells 300 loaves of bread at $2 each. If the cost price of each loaf is $1.5, and the bakery increases its production rate by a factor of 1.2, how many loaves will it produce in the same time period at the new rate?

360 loaves

Ashley and Ben share a payment of $360 in the ratio of 3:5 based on the hours worked. If Ben works for 5 hours, how much will Ashley receive?

$135

What is the correct formula to calculate the profit percentage when the selling price and cost price are given?

((Selling Price - Cost Price) / Cost Price) × 100

A company sells a product at a discount of 20% on the marked price. If the marked price is $100, what is the selling price?

$80

A person invests $1000 at a simple interest rate of 5% per annum for 2 years. What is the total amount of money the person will have after 2 years?

$1100

A bakery produces 480 loaves of bread in 6 hours. If the production rate increases by a factor of 1.5, how many loaves will it produce in 6 hours at the new rate?

720 loaves

Ashley and Ben share a payment of $480 in the ratio of 3:5 based on the hours worked. If Ben works for 5 hours, how much will Ashley receive?

$240

A factory produces 480 units of a product in 8 hours. If the production rate increases by a factor of 1.5, how many units will it produce in 5 hours?

864 units

A pattern of beads consists of 2 red beads for every 5 blue beads. If the pattern is repeated 5 times, and the number of red beads is increased by 20%, what is the ratio of red beads to blue beads?

2.4:5

A company has two machines that produce identical items. Machine A produces 120 items in 3 hours, and Machine B produces 90 items in 2 hours. If Machine A's production rate increases by 25%, and Machine B's production rate decreases by 15%, what is the ratio of the production rates of Machine A to Machine B?

1.6:1

A car travels from City A to City B at an average speed of 60 km/h, and returns at an average speed of 40 km/h. If the distance between City A and City B is 240 km, and the car's speed increases by 20% for the entire trip, what is the average speed for the entire trip?

52 km/h

Ashley and Ben share a payment of $480 in the ratio of 3:5 based on the hours worked. If Ben works for 5 hours, and Ashley's payment increases by 15%, how much will Ashley receive?

$234

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