TACHS Diagnostic

Math Part 1
32 Questions (33 minutes)

1. 7-(-5)=

-12

-2

2. What is the greatest common factor of 27 and 54?

3. Based on the table below, how many more points did the Warriors score than the Cavaliers in total?

4. Bob is shipping out 150 new books. He places the books in boxes that can hold 14 books each. How many boxes are needed to ship all the books?

5. What is the decimal equivalent of $\dfrac{13}{16}$ ?

.0625

.13

.75

.8125

6. 26%=

$\dfrac{13}{50}$

$\dfrac{26}{50}$

$\dfrac{13}{25}$

$\dfrac{2}{17}$

7. Alyssa uses 15 cherries to make one cherry pie. If she has 47 cherries, how many more cherries must she buy in order to make four cherry pies?

8. Based on the graph below, how much less sales did Class X make than Class Y from the plant sale?

$15

$20

$25

$30

9. The least common multiple of 3, 6, and 10 is

10. $13^2 =$

130

169

11. Jeff earns $6 an hour valeting cars. If Jeff made $62 after a $14 tip, how many hours did Jeff work for?

12. Jack, Clarissa, Pablo, and Alessia shared a pizza that was divided into eight equal slices. Jack ate 1 slice, Clarissa ate 3 slices, Pablo ate 2 slices, and Alessia ate the rest. What fraction of the pie did Alessia eat?

$\dfrac{1}{8}$

$\dfrac{1}{6}$

$\dfrac{1}{4}$

$\dfrac{1}{3}$

13. Write 6.70 as a fraction

$\dfrac{67}{100}$

$6 \frac{7}{100}$

$6 \frac{70}{100}$

$67 \frac{70}{100}$

14. Tiffany works at a vegetable stand. How much will it cost for 2 pounds of cucumbers and 4 pounds of avocados?

$22

$25

$28

$30

15. Which of the following is a prime number?

16. Lawrence saves 30% of his earnings for college. If he saved $21 this week, how much did he earn this week?

$6.30

$62

$70

$100

17. $\dfrac{5}{8} - \dfrac{1}{3}$

is equal to

$\dfrac{4}{5}$

$\dfrac{1}{3}$

$\dfrac{7}{24}$

$\dfrac{1}{4}$

18. Theresa walks 682 feet to school. After school, she walks 414 feet to her cousin's house. She then walks home following the same path. How many feet did she walk in total?

1096

1171

2192

2394

19. Vito bought a Caesar salad and a lemonade at the deli. The salad was $6.49. He gave the cashier $10 and received $2.10 in change. If sales tax was excluded, how much did the lemonade cost?

$1.01

$1.41

$1.99

$2.05

20. Which of the following is not a factor of 36?

21. Three track team members, Manny, Charlie, and Sam, recorded the amount of miles they ran over the weekend. Based on the graph below, how many more miles did Manny run than Sam over the entire weekend?

22. Randy is saving 60% of his allowance to purchase a new computer. He receives $25 a week. If the computer costs $300, how many weeks will it take Randy to purchase a new computer?

23. Write 7,460,000 in scientific notation

$7.46 \times 10^5$

$7.46 \times 10^6$

$7.46 \times 10^{-5}$

$7.46 \times 10^{-6}$

24. Cherries are on sale for $1.80 per pound. How much will 2.7 pounds cost?

$4.62

$4.86

$4.99

$5.11

25. Jasmine is looking to buy a new blouse. There is a 30% off sale at the store. If the original price of the blouse was $42.30, what is the sale price?

$12.69

$20.02

$29.61

$31.37

26. The Rodriguez family divides their monthly income into the following expenditures based on the chart below. What fraction of their monthly income does the Rodriguez family spend on rent and groceries?

$\dfrac{9}{20}$

$\dfrac{1}{4}$

$\dfrac{7}{10}$

$\dfrac{3}{8}$

27. $\dfrac{4}{7} \div \dfrac{3}{2} =$

$\dfrac{6}{7}$

$\dfrac{3}{2}$

$\dfrac{7}{17}$

$\dfrac{8}{21}$

28. Mr. Jones is grading papers. If each paper takes him the same amount of time, and he finished grading 63 papers between 6:30 PM and 10 PM, how many papers did he grade per hour?

29. The graph below represents the amount of laps Dennis ran over the course of five days. How many more laps did Dennis run on Tuesday and Thursday combined than on Wednesday?

30. What is the value of $y$ if $3 \cdot y = 21$ ?

31. The student council conducted a survey to see what the students' favorite fruit was. How many students were surveyed in total?

32. The chart below shows the amount of boy and girls divided by grade at West Beach High School. How many more freshmen and seniors combined are there than sophomores and juniors combined?

TACHS Diagnostic – Math 1