7th Grade KSA Practice Test- Non-Calculator Section

The ratio of A and B is proportional to the ratio of the square of A and half the square of B. Which of the following correctly describes the relationship between A and B?

• A is the square root of B.

• B is half of A.

• A and B are equal.

• B is twice as much as A

Lily is opening a dress boutique and has determined that to cover her overhead and make a profit, she must mark-up her merchandise by 40%. If she buys a dress for $35.99, what must she sell it for?

• $35.99

• $14.39

• $50.39

• $64.39

• x=-9
• x=-3
• x=9
• x=7

x and y are proportional with m and n. If m = 2, n = 7, and x is twice as much as n, what is the value of y?

• 46

• 47

• 48

• 49

Farmer Bill is preparing his fields for planting. If it has rained in the last 24 hours, he cannot cultivate his fields properly. If it rained two days ago, it takes 10 hours to cultivate about a third of his field. If it rained three days ago, he can cultivate about half of his field in 10 hours. As each day without rain passes, he can work the ground proportionally faster. Express the portion of his field space that he can prepare in 10 hours if it has been 4 days since it rained.

Instruction: Write your answer as a simplified fraction in the format a/b (without spaces).

In which of the following scenarios would opposite quantities combine to make zero?

• A train travels 3 miles east for 1/3 of an hour.

• Fred works for 30 minutes a day for 7 days a week.

• Kevin earns $24 working for his neighbor and receives a gift of $10 for his birthday, but owes his parents $15 and a friend $18

• An elevator goes up 3 floors, down 2 floors, up 3 floors, and then down 4 floors.

Mickey bought pizza and sodas for himself and four of his friends. The pizza was $17.49, and 5 sodas were $1.19 each.

If the pizza is sliced into 10 equal slices and each boy eats 2 slices and drinks one soda,

Which of the below statement is true?

• The total cost is $23.44

• The cost to each boy is $5.67

• The cost of 5 sodas is $5.05

• All the above

Which of the following expressions represents the distance between the two points, A and B?

Select your answer from the drop-down​ (a)  

• -3-4
• 4-3

A pizza is cut into 8 equal pieces. Jeremy ate 3 of them. Frank ate 2 of them. Then Bill and Harley showed up and shared the rest of the pizza equally. Together, how much of the pizza did Jeremy and Bill eat?

• 9/16

• 7/16

• 10/16

• 8/16

A famous author comes to terms with a publishing company and signs a contract for his newest book. The author will get $25,000 plus 15% of the proceeds of all book sales. The book sells for a price of $15.00. How many books will need to sell in order for the author to earn $47,500 in the first year?

• 10500 books need to sell

• 10000 books need to sell

• 10700 books need to sell

• 11000 books need to sell