FAST 7th Grade Math Practice Test

Sara started a flower garden. Her friend gifted her 50 flower seeds to start with. Every week, she plants 10 new seeds in her garden.

Which equation can be used to find y, the total number of flower seeds in Sara’s garden after x weeks?

A playground has a width of 50 meters and a length of 100 meters. On a scale drawing of the playground, the width is 10 centimeters.

What is the length of the playground on the scale drawing in centimeters?

Maya’s monthly income is $5,100. Part of Maya’s monthly budget is shown in the table below.

What percentage of Maya’s income is used to pay for her rent and food?

Consider the dimensions of a rectangular prism given in the figure shown.

What is the total surface area of the prism in square centimeters?

Daniel works as a cashier at a grocery store. In 1 hour, he checks out 30 customers.

Which equation best represents y, the total number of customers Daniel checks out in x hours if he continues at this rate?

The box plots show the numbers of goals scored by individual players of two different teams in a match.

Which statement is best described by the data in the box plot?

A recipe for a sauce requires \frac{1}{4} cup of chopped tomatoes for 2 servings. How many cups of chopped tomatoes are needed for 12 servings of this sauce?

The circumference of the circle X is equal to the diameter of circle Y. The radius of circle Y is 11 cm.

Which of the following represents the radius of circle X?

Which of the following is the solution set for the inequality 9 – 5x < 49?

Consider the triangle below:

The angle measures are ∠1 = (3x – 6)°, ∠2 = 30°, and ∠3 = 66°.

Find the value of x.

A right-triangle and a semi-circle were used to form the figure shown.

Which of the following represents the approximate area of the figure in square meters?

A box contains flavored candies. A candy will be randomly selected from the box.

• 20 candies are chocolate flavored.
• 15 candies are strawberry flavored.
• 10 candies are mango flavored.
• 25 candies are sour.

What is the probability in decimal form that the selected candy will be either chocolate flavored or sour?

Enter in your answer in decimal form, rounded to 3 decimal places.

During a day, Jimmy loaded 1.5 tons of cargo into his truck. There are approximately 2000 pounds in 1 ton.

What is the approximate weight of cargo that John loaded into his truck during a day?

Which of the following equation is true when k = -5?

Two online platforms have sales on laptops.

• At Platform X all laptops are on sale for 25% off the original price.
• At Platform Y all laptops are on sale for \frac{1}{5} off the original price.

Which platform would have the better sale price for a laptop with an original price of $800?

A hiker walked a distance of 2 \frac{1}{2} miles each day for 7 days. Then the hiker walked a distance of 3 \frac{1}{4} miles each day for the next 6 days. What was the total distance in miles the hiker walked during these 13 days?

Sunny bought 8 movie tickets for $100. Each ticket cost the same amount.

What was the cost of each movie ticket in dollars and cents?

A small box is in the shape of a prism as shown below:

What is the volume of the box in cubic centimeters?

Which equation best represents the relationship between x and y in the graph?

The owner of an electronics store buys used laptops from customers for $200 each. The owner then resells the used laptops for 250% of the amount he paid for them.

What is the price of a used laptop in this electronics store?

Members of the school club held a bake sale to raise money. Chocolate pastries and pineapple pastries were sold.

• Chocolate pastries were sold for $2 each.
• Pineapple pastries were sold for $1.50 each.
• The members sold a total of 200 items.
• Of the items sold, \frac{3}{5} were chocolate pastries and the remaining items were pineapple pastries.

How much money did the school club members raise from the pineapple pastries that were sold?

Four congruent trapezoids were used to form the figure below:

What is the area of the figure in square centimeters?

Find the value of the expression 37.70 ÷ -7 \frac{1}{4} .

Triangle BAC is similar to triangle DFE.

Which proportion is used to find the length of (DF) in centimeters?

Solve the equation for x.

3(-11x – 10) = 69

Consider the dimensions of a rectangular pyramid shown.

What is the volume of this pyramid in cubic meters?

A survey was conducted to find the newspaper choices of the 60 individuals in an area. The types of newspapers A, B, and C are shown in the circle graph.

Based on the graph, how many more individuals chose newspaper B over newspaper C?

A weighing machine has a maximum capacity of 500 kilograms. A big box of apples weighs 50 kilograms and individual boxes of oranges weigh 30 kilograms each. What inequality represents all possible values of x, the number of orange boxes that can be added to the basket?

Which situation can be represented by this equation?

150 + 30x = 450

A store has a packet of marbles. A customer will randomly select one marble from the packet.

• The packet contains 10 green marbles.
• The packet contains 18 red marbles.
• The packet contains 14 blue marbles.
• The packet contains 12 yellow marbles.

Which statement is NOT true?