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 Page 1 of 4 © COPYRIGHT 2016 eTutorWorld Corporation, 6594 ElliesWay,Fairfax Station, VA 22039, USA, ALL RIGHTS RESERVED http://www.etutorworld.com 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 Page 2 of 4 © COPYRIGHT 2016 eTutorWorld Corporation, 6594 ElliesWay,Fairfax Station, VA 22039, USA, ALL RIGHTS RESERVED http://www.etutorworld.com 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 Page 3 of 4 © COPYRIGHT 2016 eTutorWorld Corporation, 6594 ElliesWay,Fairfax Station, VA 22039, USA, ALL RIGHTS RESERVED http://www.etutorworld.com 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 © COPYRIGHT 2016 eTutorWorld Corporation, 6594 ElliesWay,Fairfax Station, VA 22039, USA, ALL RIGHTS RESERVED http://www.etutorworld.com
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