7th Grade Written Test 2014
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Cedar Ridge Mathematics Tournament 7 th Grade Written Test October 25, 2014 1. Perform the operation: 4− [ ( − 1 5 − 1 4 ) −( 3−2 ) ] A. 47 9 B. 109 20 C. − 11 10 D. 1 5 2. Evaluate the expression ( 5 6 x + 2 3 y )( − 1 4 m ) for x =-2 ,y =-4 ,m =-5 . A. − 90 12 B. − 65 12 C. − 20 3 D. − 30 12 3. Write the expression without parentheses. −(−p−5 r +9 x) A. p−5 r−9 x B. −p+5 r −9 x C. −p−5 r +9 x D. p+5 r −9 x 4. Simplify the expression: − 3 5 ( x−10)− 1 10 x A. − 2 5 x +6 B. 27 5 x− 1 10 C. − 4 15 x+6 D. − 7 10 x+6 5. Subtract 8 x 3 −5 x 2 +8 from 9 x 3 +6 x 2 −7 A. x 3 +11 x 2 −15 B. −x 3 −11 x 2 +15 C. x 3 −11 x 2 +15 D. 17 x 3 + x 2 +1 6. Perform the indicated operations to simplify the expression (5−2 x+9 x 2 )−( 7−5 x +8 x 2 )+( 6+ 3 x−5 x 2 ) A. 4+ 6 x−4 x 2 B. 1−8 x+ 13x 2 C. −2+3 x+x 2 D. 1+8 x+13 x 2 7. Simplify. 4 (3 m 4 n 5 ) 3 A. 108 m 12 n 15 B. 12m 7 n 8 C. 12m 12 n 15 D. 108 m 7 n 8 8. Simplify the expression. ( 3 4 ) 3 · 3 2 A. 27 64 B. 15 64 C. 27 6 D. 243 64 9. Simplify the expression. ( − x 5 y ) 4 (−x 6 y 5 ) 3 A. x 18 y 10 B. −x 38 y 19 C. −x 18 y 10 D. −x 29 y 20 1
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7th Grade Written Math Competition in Alabama. This is good practice for many people.
Transcript of 7th Grade Written Test 2014
Cedar Ridge Mathematics Tournament7th Grade Written Test
October 25, 2014
1. Perform the operation: 4−[(−15−14 )−(3−2 )]
A.
479 B.
10920 C.
−1110 D.
15
2. Evaluate the expression ( 56 x+ 23 y )(−14 m)
for x=- 2 , y =- 4 ,m=-5 .
A. −9012 B.
−6512 C.
−203 D.
−3012
3. Write the expression without parentheses.
−(−p−5 r+9 x )A. p−5 r−9 x B. −p+5 r−9x C. −p−5 r+9x D. p+5 r−9x
4. Simplify the expression: −35
( x−10 )− 110x
A. −25x+6
B.
275x− 110 C.
− 415x+6
D. − 710x+6
5. Subtract 8 x3−5x2+8 from 9 x3+6 x2−7A. x3+11 x2−15 B. −x3−11 x2+15 C. x3−11 x2+15 D. 17 x3+x2+1
6. Perform the indicated operations to simplify the expression (5−2x+9 x2)−(7−5 x+8x2 )+(6+3 x−5 x2)A.4+6 x−4 x2 B. 1−8x+13 x2 C. −2+3 x+x2 D. 1+8 x+13 x2
7. Simplify. 4 (3m4 n5)3
A. 108m12n15 B. 12m7n8 C. 12m12n15 D. 108m7n8
8. Simplify the expression. ( 34 )
3
·32
A.
2764 B.
1564 C.
276 D.
24364
9. Simplify the expression. (−x5 y )4 (−x6 y5)3
A. x18 y10 B. −x
38 y19 C. −x18 y10 D. −x
29 y20
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Cedar Ridge Mathematics Tournament7th Grade Written Test
October 25, 2014
10. Solve by using the formula for area of a triangle. A right triangle with the length of the legs 3a3
and 4 a4 .
A=12bh
A. 3 .5 a7 B. 7a12 C. 12a7 D. 6a7
11. Multiply (x2+6 ) (5 x3−4 x2+3 x )A. 5 x6−4 x4−3x3−24 x2
B. x5−4 x4−30x3−24 x2
C. 5 x5−4 x4−33 x3−24 x2
D. 5 x5−4 x4+33 x3−24 x2+18 x
12. Solve. (6n+ 14 )
2
A. 36n2+3n+ 1
16 B. 12n2+3n+ 1
8 C. 36n2+ 1
8 D. 12n2+3n+ 1
16
13. Simplify the expression. Assume that all variables represent nonzero real numbers. ( 3 x44 )−5
A.
243 x20
1024 B.
15 x20
20 C.
1024
243 x20 D.
20
15 x20
14. Simplify ( 5 x−32−1 y4 )
−2
A.
20 y8
x5 B.
x5 y6
20 C.
x6 y8
100 D.
x6 y8
50
15. Divide 225 x5 y9−150 x3 y7+110 x2 y5−80 xy 3+75 y2
by −25 xy
2
A. 9 x4 y7−6 x2 y5+22 xy
3
5−16 y
5+ 3x
B. −9 x4 y7+6 x2 y5−22 xy
3
5+16 y5
−3x
C. −9 x6 y11+6x 4 y9−22 x
3 y7
5+16 xy
4
5−3x
D. −9 x4 y7+6 x2 y5+22xy
3
5+16 y5
−3x
16. A high school mathematics teacher gave a geometry test. Working alone, it would take her 4 hours to grade the tests. Her student teacher would take 6 hours to grade the same tests. How long would it take them to grade these tests if they work together? d=rt
A. 225
hrs. B.
23
hrs.
C. 10 hrs.
D. 123 hrs.
17. Divide. Write in lowest terms.
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Cedar Ridge Mathematics Tournament7th Grade Written Test
October 25, 2014y2−6 y+8y2+3 y−18
¸y−4y+6
A.
y+2y−3 B.
y−2y+3 C.
y−2y−3 D.
y+2y+3
18. Find the least common denominator for the list of fractions.r−1
2r 2+7 r+6,
−2r+12 r2−7 r−15
A. (2 r+3 ) (r−2 ) (r−5 ) B. (2 r+3 ) (r−2 ) (r+5 ) C. (2 r+2 ) (r+3 ) (r−5 ) D. (2 r+3 ) (r+2 ) (r−5 )
19. Find the volume of the cone. Round to the nearest tenth if necessary. V=1
3pr2 h
A. 408.1 cm3 B. 71.6 cm3 C. 1224.2 cm3 D. 214.8 cm3
20. Find the volume of the sphere. Round to the nearest tenth if necessary. V= 4
3pr3
A. 11488.2 in3 B. 820.6 in3 C. 34464.6 in3 D. 2872.1 in3
21. Find the distance between each pair of points. Round to the nearest tenth if necessary.
R(1 12 ,3), S(5,6 14 )A. 4.7 B. 4.8 C. 2.6 D. 5.1
22. If the temperature is constant, the pressure of a gas in a container varies inversely as the volume
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Cedar Ridge Mathematics Tournament7th Grade Written Test
October 25, 2014
of a container. If the pressure is 10 pounds per ft2
in a container with volume 3ft3
, what is the
pressure in a container with volume 1.5 ft3
? y= kx
A. 30 lb per ft2
B. 20 lb per ft3
C. 20 lb per ft2
D. 30 lb per ft3
23. Find the median for the list of values.172.6, 199.7, 182.4, 167.1, 172.6, 183.4, 187.6, 171.5A. 177.5 B. 172.6 C. 179.6 D. 28.2
24. Write the equation x2=4 x−1 in standard form.
A. −2±√5 B. 2±√5 C. −2±√3 D. 2±√3
25. Add 2√28+8√63A. 28√7 B. 10√7 C. 13√7 D. 15√7
TIEBREAKERS:
TB1: Solve
15t2=1
5t− 310
TB2: Subtract. 83√81x3−3√375 x3
TB3: The sales tax for a $320 office chair is $25.60. Find the rate of sales tax.
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