Math Pathways for College and Careers Uni

Math Pathways for College and Careers Unit 1 Test Summer 2020

Name: ________________________________

Directions: Read directions for each question. You may use a calculator, but all work (steps)

must be shown for each question. Label your answers when necessary. Make sure your

answers are reasonable, and write all fractions in lowest terms.

1. A group of students were surveyed on their favorite sport. The bar chart below shows the

results of the survey. (3 pts)

(a) Write a ratio of the students that like soccer to the people that like baseball.

1a. __________________________

(b) Write a ratio for the students that like football to the total.

1b. __________________________

2. Jeff was able to travel 315 miles on 14 gallons of gas. How many miles per gallon is he

getting? (2 pts) 2. ________________________

3. Complete the table and determine the best buy. (3 pts)

Package of Pens 3. ________________________

# of Pens Total Price Unit Price

30 $8.19

18 $6.84

12 $4.80

27

18 12

43

0

10

20

30

40

50

Baseball Football Golf Soccer

Favorite Sport

4. What is the probability that the spinner will land on a ‘Win’? (2 pts)

4. _________________________

5. Weed and Feed lawn fertilizer requires 1 bag for every 9,920 square feet. How many bags of

fertilizer must you purchase to cover 65,340 square feet? (You cannot buy a fraction/portion of

a bag, so round to the whole number needed) (3 pts)

5. _________________________

6. If a force of 30 lbs is needed to stretch a spring 12 in., how much force is needed to stretch a

spring 2 ½ in? (3 pts)

6. _________________________

7. Find the missing dimension: ‘Drawing width’ on the diagram below. Label (3 pts)

7. _________________________

8. The triangles below are similar. Find the missing side. (3 pts)

18.4 cm 4.6 cm

2.7 cm

10.8 cm 𝑥

20.8 cm

8. _________________________

9.

1. In 2013, 54% of the applicants to the

10. In 2013, 54% of the applicants to the University of Minnesota medical school were male. If

2,484 of the applicants were male, How many applicants were there? (2 pts)

10) _________________________

9. A bag of snack mix has the following

Nutritional Information.

If a person ate 2 ¼ cups of snack mix,

how many Calories is that? (3 pts)

11. A television is on sale for 20% off the regular price of $520 and a Bluray player is 15% of the

regular price of $95. How much are you saving off both of these items? What is your total

price for these two items after discount? Round to the nearest cent if needed. (4 pts)

11a) _________________________

11b) _________________________

12. In a sample of 85 fluorescent light bulbs, three were found to be defective what percent

were defective? Round to the nearest tenth of a percent if needed. (2 pts)

12) _________________________

13. An IT professional got a merit raise of 3%. If his salary was $52,400 before the raise, how

much was the raise? What will his new salary be? Round to the nearest cent if needed. (3 pts)

13) Raise: ____________________

New Salary: __________________

14. During manufacturing, the pressure in a hydraulic line increases from 75 lb/in2 to 115

lb/in2. What is the percent of increase in pressure? Round to the nearest tenth of a percent if

needed. (2 pts)

14) _________________________

15. Use the table below to determine what percent of the students surveyed said Wednesday

would be best for them. Round to the nearest tenth of a percent if needed. (2 pts)

15) _________________________

16. The regular price of a ring is $945.00. During a May jewelry sale, the ring was discounted

35%. What was the sale price of the ring? If the tax rate is 7.5%, what is the amount of tax?

What is the total price you would pay for the ring? Round to the nearest cent if needed. (4 pts)

16a) Sale Price: ________________

Amount of Tax: ________________

Total Price: ____________________

17. Determine the pattern and write the next three numbers in the sequence. (3 pts)

3, 6, 8, 16, 18, 36, 38, …

17a) Pattern: __________________

17b) Next 3: _____ , _____ , _____

Day Number

Monday 17

Tuesday 15

Wednesday 28

18. Draw the next shape and fill in the chart below. (4 pts)

19. Hussein, Nina, Bao, Francis, and Angel are all students at HTC. They are in one of the

following programs. Nursing, HVAC, Automotive, Fluid Power, and Carpentry. Can you figure

out which program they are each in? (4 pts)

[Hints: Nursing: Works with blood, people, needles, meds, etc. HVAC: Heating and Air Conditioning units and ventilation,

Automotive: Cars and Trucks, Fluid Power: (Hydraulic) Power, and the capability to create such power, to make things such as

machinery, car parts, amusement park rides, etc. work/run. Carpentry: Builds things with wood, hammers, nails, etc.]

a) No student is in a program that begins with the same letter as their 1st name.

b) Hussein and Francis are friends with the Fluid Power student.

c) Bao hates needles and faints at the sight of blood, so would not be a nurse.

d) Angel and Nina are not good with hammers, so would not make good carpenters.

e) Francis hates cars and couldn’t fix one if he had to.

f) Hussein wants to be a nurse like his mom.

g) Nina does not know Hussein.

h) Angel is in the HVAC program at HTC.

19) Hussein: ________________ Nina: __________________ Bao: ________________

Francis: _________________ Angel: _________________

1st 2nd 3rd 4th 5th Pattern

Triangles

Perimeter

Next Shape:

20) ****YOU PICK….You can pick EITHER problem 20, but not more than one (no extra credit given)****If you do more than one, I will just grade the second one. (3 pts) 20. Complete the Sudoku puzzle. Use only 20. Complete the KenKen puzzle. Use numbers 1 − 6, each row/ each column/ each only numbers 1 – 4, in each row/column. 2x3 box may only use each number once. (3 pts) You must fill the cage with numbers

that produce the target number using the specified operation. (3 pts)