Grade 7 End-of-Year Test

What is the sum of the points plotted on the number line below?

• -4

• 0

• 2

• 4

The distance between two cities on a map measures 3.75 inches. The scale on the map shows that 2 inches is equal to 50 miles. How many miles apart are the two cities?

• 46.875 miles

• 53.75 miles

• 93.75 miles

• 187.5 miles

Colleen is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf?

• b = (2/5)r

• r = (2/5)b

• b = (2/7)r

• r = (2/7)b

If the perimeter of his garden measures 60 ft, what is the length of one of the sides, x?

• 12 ft

• 15 ft

• 18 ft

• 24 ft

A new restaurant is giving 10% of its randomly selected customers a discount coupon for their next meal. Which model could be used to create a simulation to predict the number of customers who get a coupon?

• Spin a spinner with 4 equal sections labeled 1 to 4. Let the number 4 represent a customer who gets a coupon and the other numbers represent a customer who does not get a coupon.

• Roll 2 fair six-sided number cubes. Let a sum of 2 represent a customer who gets a coupon and the other sums represent a customer who does not get a coupon.

• Use cards numbered from 0 to 10. Let 0 represent a customer who gets a coupon and the other numbers represent a customer who does not get a coupon.

• Use a computer-based program to generate 10 random numbers from 1 to 10. Let 1 represent a customer who gets a coupon and the other numbers represent a customer who does not get a coupon.

A square has a perimeter of 8g + 16. Which expression also represents the perimeter given the side length of the square?

• 2(4g + 8)

• 4(2g + 4)

• 4(2g) + 16

• 4(g + 2) + 4(g + 2)

What is the circumference of the circle that Jason drew? Use 3.14 for π.

• 15.70 inches

• 23.14 inches

• 31.40 inches

• 62.80 inches

After first entering the ocean, a scuba diver descends to a depth 18 feet below the surface of the water. The diver then ascends 7 feet before descending 18 feet again. What is the final depth of the diver below the surface of the water?

• -29 feet

• -43 feet

• 29 feet

• 43 feet

Natasha uses 2.5 feet of twine to tie campfire wood into bundles. The proportional relationship between the number of bundles, x, and the amount of twine, y, in feet she uses is shown in the graph. What does the point (3, 7.5) represent in the graph?

• She uses 7.5 feet of twine to make 7.5 bundles of wood.

• She uses 7.5 feet of twine to make 3 bundles of wood.

• She uses 3 feet of twine to make 7.5 bundles of wood.

• She uses 3 feet of twine to make 3 bundles of wood.

Johnathan picked colored beads from a jar 50 times, replacing the bead each time. He picked a red bead 12 times, a yellow bead 14 times, and a blue bead 24 times. How many blue beads should Johnathan expect to pick out of 150 times?

• A) 36

• B) 42

• C) 72

• D) 78