CAHSEE (Grade 07) Mathematics – Number Sense Released Test Questions (Answer Key)

By | November 5, 2017

The following ten California mathematics academic content standards from the Number Sense strand are assessed on the California High School Exit Examination by 14 test questions and are represented in this booklet by 38 released test questions. These questions represent only a few of the ways in which these standards may be assessed on the California High School Exit Examination.


CAHSEE (Grade 07) Mathematics – Number Sense Released Test Questions With Answer Key


1. The radius of the earth’s orbit is
150,000,000,000 meters. What is this
number in scientific notation?

A 1 5. ×10−11
B 1 5. ×1011
C 15×1010
D 150×109

2. 3 6. × = 102

A 3.600
B 36
C 360
D 3,600

3. Which expression represents 0.0000007
in scientific notation?

A 7×10−9
B 7×10−7
C 7×107
D 7×109

4. The five members of a band are getting
new outfits. Shirts cost $12 each, pants
cost $29 each, and boots cost $49 a pair.
What is the total cost of the new outfits
for all of the members?

A $90
B $95
C $450
D $500

5. 11/12-{1/3+1/4}=

A 1/3
B 3/4
C 5/6
D 9/5

6. Which of the following numerical
expressions results in a negative
number?

A (–7) + (–3)
B (–3) + (7)
C (3) + (7)
D (3) + (–7) + (11)

7. One hundred is multiplied by a number
between 0 and 1. The answer has
to be—

A less than 0.
B between 0 and 50 but not 25.
C between 0 and 100 but not 50.
D between 0 and 100.

8. John uses 2/3 of a cup of oats per serving
to make oatmeal. How many cups of
oats does he need to make 6 servings?

A 2 X 2/3
B 4
C 5 X 1/3
D 9

9. What is the value of {1/8}2 (i.e. 1 upon 8’s square)?

A 1/64
B 1/32
C 1/16
D 1/4

10. If Freya makes 4 of her 5 free throws in
a basketball game, what is her free
throw shooting percentage?

A 20%
B 40%
C 80%
D 90%

11. Some students attend school 180 of the
365 days in a year. About what part of
the year do they attend school?

A 18%
B 50%
C 75%
D 180%

12. What number equals 3/8?

A 0.267
B 0.375
C 2.67
D 3.75

13. Last year 7/16 of all students at a school participated in the science fair. About what percentage of the students participated?

A 18%
B 23%
C 44%
D 56%

14. The cost of an afternoon movie ticket last year was $4.00. This year an afternoon movie ticket costs $5.00. What is the percent increase of the ticket from last year to this year?

A 10%
B 20%
C 25%
D 40%

15. The weekly sales of a magazine
increased from 500,000 to 600,000. By
what percentage did the magazine sales
increase?

A 17%
B 20%
C 83%
D 120%

16. Traditions Clothing Store is having a
sale. Shirts that were regularly priced
at $20 are on sale for $17. What is the
percentage of decrease in the price of
the shirts?

A 3%
B 15%
C 18%
D 85%

17. On Monday, Lisa’s fish bowl contained 1 gallon of water. On Friday, the fish bowl contained 0.75 gallon of water. By what percentage did the amount of water in Lisa’s fish bowl decrease?

A 0.25%
B 0.75%
C 25%
D 75%

18. Sally puts $200.00 in a bank account.
Each year the account earns 8% simple
interest. How much interest will be
earned in three years?

A $16.00
B $24.00
C $48.00
D $160.00

19. A pair of jeans regularly sells for
$24.00. They are on sale for 25% off.
What is the sale price of the jeans?

A $6.00
B $18.00
C $20.00
D $30.00

20. A CD player regularly sells for $80. It is
on sale for 20% off. What is the sale
price of the CD player?

A $16
B $60
C $64
D $96

21. Jana bought a car for $4200 and later
sold it for a 30% profit. How much did
Jana sell the car for?

A $1260
B $2940
C $5460
D $7140

22. A salesperson at a clothing store earns
a 2% commission on all sales. How
much commission does the salesperson
earn on a $300 sale?

A $6
B $15
C $60
D $150

23. Which number equals (2)-4 (i.e. 2 raise to power -4)?

A −8
B 1/−16
C 1/16
D 1/8

26. Which fraction is equivalent to 5/6+7/8?

A 35/48
B 6/7
C 20/21
D 41/24

27. Which of the following is the prime
factored form of the lowest common
denominator of 7/10+8/15?

A 5×1
B 2×3×5
C 2×5××3×5
D 10×15

28. What is 3/4-1-6?

A 1/6
B 1/3
C 7/12
D 11/12

33. The square root of 150 is between—

A 10 and 11.
B 11 and 12.
C 12 and 13.
D 13 and 14.

34. The square of a whole number is
between 1500 and 1600. The number
must be between—

A 30 and 35.
B 35 and 40.
C 40 and 45.
D 45 and 50.

35. Between which two integers is the value
of √61 ?

A 6 and 7
B 7 and 8
C 8 and 9
D 9 and 10

36. If |x| = 3, what is the value of x?

A −3 or 0
B −3 or 3
C   0 or 3
D −9 or 9

37. What is the absolute value of −4?

A −4
B -1/4
C 1/4
D   4

38. Which number has the greatest
absolute value?

A −17
B −13
C 15
D 19

CAHSEE (Grade 07) Mathematics – Number Sense Released Test Questions Answer Key

Disclaimer: This is a sample of California High School Exit Examination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2008 by the California Department of Education.

Note: Some questions may be missing according to their sequence due to their unavailability.

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