Math practice for 13 year olds - page 22 of 421

Number of problems found: 8407

Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ.
Using fraction
Ling is using fraction strips to add 2/3 and 7/12. The sum is one whole, plus how many twelfths?
Mr. Ancheta
Mr. Ancheta bought 8/9 of a cake. He slice it into 1/4 pieces. How many 1/4 pieces were there?
The graph
Given that (-5,8) is on the graph of f(x), find the corresponding point for the function f(x)-2.
Bag of popcorn
The average cost of a bag of popcorn at the movie theater was $3.50 in 1995 and $4.75 in 2015. Find the percent of change in the price of a bag of popcorn from 1995 to 2015 and classify it as a percent increase or percent decrease.
In 2010
In 2010, the population of the city was 223,000. From 2010 to 2015, the population grew by 6%. From 2015 to 2020, it fell by 4%. To the nearest 100 people, what was the population in 2020?
Mrs. Susan 2
Mrs. Susan received a shipment of 60 novelty baseball caps. Of the caps, 1/3 had bug antennae, 2/5 had moose antlers, and the rest had plastic propellers. How many of the caps had plastic propellers?
Cesar
Cesar increased the amount of water he drinks each day from 64 ounces to 72 ounces. By what percentage did Cesar increase the amount of water he drinks each day?
Gift card
Lauren was given a gift card for a coffee shop. Each morning, Lauren uses the card to buy one cup of coffee. The original amount of money on the gift card was $10, and each cup of coffee costs $2. Make a table of values and then write an equation for A, i
Cheesecakes
In a survey, 50% of people preferred fruit cake, 15% preferred sponge cake, and the remainder preferred cheesecake. What percentage of people liked cheesecake the best?
Relay teams
There are 159 students to be grouped into relay teams. Each team should have the same number of students. Can each team have 3,5 or 6 students? Explain.
The ratio 18
The ratio of dogs to cats at a shelter is 2 to 7. If there are 12 dogs, then how many cats are in the shelter?
Guadalupe
Guadalupe bought snacks for her team's practice. She bought a bag of chips for $1.93 and a 15-pack of juice bottles for a total cost before tax of $32.83. Write and solve an equation that can be used to determine x, the cost of each bottle of juice.
The ratio 17
The ratio of tomatoes to red apples is 2:5. If there are 20 tomatoes, how many red apples are there?
Five added
Five is added to the square root of the product of nine, and a number is equal to eight. Find the number.
It takes 2
It takes 7 1/5 seconds for a jet to fly 1 km. How long does it take for this jet to fly 3/4 of a km?
Three members
If 2a+2+a =17, what is the value of a?
Children
Of the estimated 2 billion children living in the developing world, approximately 400 million do not have access to safe drinking water. Approximately what percentage of children in developing countries do not have safe water to drink?
A bank
A bank reported that x/12 more first-time buyers took a mortgage out last month. If a quarter more mortgages were taken out, what number (x) is missing?
The ratio 16
Express the following ratio in simplest form: 90:100

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