Q1. Between which two numbers will the square root of 75 lie? a) 5

Grade
Subject
Topic
: CAHSEE TEST PREP
: Math
: Sample Paper 1
Q1. Between which two numbers will
the square root of 75 lie?
a)
b)
c)
d)
5 and 6
7 and 8
6 and 7
8 and 9
Q2. The sum of 2/3+ 3/7
a)
b)
c)
d)
5/7
2/7
23/21
21/23
Q3. 5.67 x 10⁴ =
a)
b)
c)
d)
567000
56700
56.7
5670000
Q4. What is 36% of 52?
a)
b)
c)
d)
19.5
18.72
20.6
15.48
Q5. The original price of a telescope is $98. A tax
component of 2% is levied. The final price of the
telescope is
a)
b)
c)
d)
$98.2
$100.26
$99.96
$96.22
Q6. The value of y in the inequality -2y + 5/3 >
14/3 is
a)
b)
c)
d)
y > 3/2
y < 3/2
y < -3/2
y > -3/2
Q7. Celina is going out for a party having
difficulty to choose what to wear. She narrows
down to 4 skirts, 3 tops and 3 pairs of shoes. How
many outfits can be formed from these choices?
a)
b)
c)
d)
10
36
12
24
Q8. Abraham scored 65, 76, 87, 79, 87 in various
attempts to a Math Exam. What is his mean score?
a)
b)
c)
d)
82.8
75.6
78.8
100
Q9. A drawer contains 3 red marbles, 4 green
marbles, and 5 blue marbles. One marble is taken
from the drawer and then replaced. Another
marble is taken from the drawer. What is the
probability that the first marble is red and the
second is blue?
a)
b)
c)
d)
3/12
5/12
5/48
13/48
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Q10. Evaluate the value of the algebraic expression Q15. Sam has a wooden box whose length is 24 in
2xy – 3y2 if x =2 and y= -3.
and width is 18 in. What is the area (A) and
perimeter (P) of this box?
a) -39
b) 25
a) A = 412 sq. in & P = 42 in
c) 39
b) A = 342 sq. in & P = 64 in
d) 15
c) A = 432 sq. in & P = 84 in
d) A = 324 sq. in & P = 32 in
Q11. Simplify the expression shown given (7m⁵n⁴).
(8m⁴n⁵)
Q16. A cylindrical can has height of 7 in. the radius
of the base is 3 in. How much soft drink can be
a) 56m⁶n⁵
stored in the can? (Use π = 3.14)
b) 7m⁶n⁷
a) 186.80 cubic inches
c) 8m⁹n⁸
d) 56m⁹n⁹
Q12. Find the slope of a line passing through points
(4,-6) and (-5, 6).
a) 3/4
b) -3/4
c) -4/3
d) 4/3
b) 197.82 cubic inches
c) 187.58 cubic inches
d) 195.68 cubic inches
Q17.
A
5 in
13 in
Q13. 14 farmers harvest the crops in the field in 18
B
C
hours. How many farmers will be required to do
ABC is a right angle triangle. ∠ABC = 90°.
the same work in 12 hours?
What is the length of side BC?
a) 21
a) 11 in
b) 15
c) 18
b) 15 in
c) 9 in
d) 24
d) 12 in
Q14. A car travels at 50.6 mph. How much distance
will it cover in 2.7hrs?
Q18. A box of chocolates weighs 64 gms. What
is weight of 72 boxes?
a) 138.56 miles
a) 4806 gms
b) 136.62 miles
c) 25.6 miles
b) 4608 gms
d) 18.74 miles
c) 4086 gms
d) 4680 gms
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Q19. Which equation represents a line parallel to
the given equation 2y = 5x +11?
a)
b)
c)
d)
y = 2x/5
y = -5x/2 + 11
y = -2x/5 +11
y = 5x/2 +11
a)
b)
c)
d)
Q20. Solve the following system of equations:
2x + y = 15,
3x – y = 5
a)
b)
c)
d)
x = 4, y = 7
x = -4, y = 7
x = 5, y = 6
x = 3, y = 9
Q22. Simplify the expression
a)
b)
c)
d)
2x − 4
x −2
1
x−4
2
x−2
Q23. What is the slope of the line whose equation
is given by 6x – 5y = 20?
a)
b)
c)
d)
5/6
-6/5
-5/6
6/5
950 cubic meters
942 cubic meters
928 cubic meters
968 cubic meters
Q26. One box of blueberries costs $5.25.
How many boxes can you buy from $63?
a)
b)
c)
d)
4/3
-3/4
-4/3
3/4
(5, 0)
(3, 5)
(0, -5)
(-2 ,3)
Q25. Find the volume of the cone with
diameter 20 m and height of 9 m. (Use π =
3.14)
a)
b)
c)
d)
Q21. What is the y-intercept of the 3x – 6y = 8?
a)
b)
c)
d)
Q24. Which of the following points lie on
the line whose equation is 2x – 3y = 15?
14
10
12
8
Q27. Find the percent change.
From 75 miles to 45 miles.
a)
b)
c)
d)
30% increase
30% decrease
40% increase
40% decrease
Q28. What is the absolute value of -7?
a)
b)
c)
d)
1/7
7
-7
-1/7
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Q29. Ted invests $200 in a financial firm. He
earns a simple interest of 7% every year.
How much interest will he earn in 4 years?
a)
b)
c)
d)
$56
$125
$68
$84
Q30. Evaluate the expression a(a + bc) + 2 for
a = 2, b = -5 and c = 0
a)
b)
c)
d)
0
2
5
6
Answer key
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27)
28)
29)
30)
d
c
b
b
c
c
b
c
c
a
d
c
a
b
c
b
d
b
d
a
c
c
d
c
b
c
d
b
a
d
Page 4 of 4
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