TMSCA
MIDDLE
SCHOOL
MAT HEM A TICS
TEST#3 ©
NOVEMBER 2, 2024
GENERAL DIRECTIONS
1. About this test:
A. You will be given 40 minutes to take this test.
B. There are 50 problems on this test.
2. All answers must be written on the answer sheet/Scantron form/Chatsworth card provided. If you are
using an answer sheet be sure to use BLOCK CAPITAL LETTERS. Clean erasures are necessary for
accurate grading on Scantrons and Chatsworth cards.
3. If you are using a Chatsworth or Scantron card, please follow the specific instructions given at your
particular meet.
4. You may write anywhere on the test itself. You must write only answers on the answer sheet.
5. You may use additional scratch paper provided by the contest director.
6. All problems have ONE and ONLY ONE correct [BEST] answer. There is a penalty for all incorrect
answers.
7. Calculators MAY NOT be used on this test.
8. All problems answered correctly are worth FIVE points. TWO points will be deducted for all problems
answered incorrectly. No points will be added or subtracted for problems not answered.
9. In case of ties, percent accuracy will be used as a tie breaker.
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2024 – 2025 TMSCA Middle School Mathematics Test #3
1. 4,113 + 6,887 = __________
A. 10,500
B. 11,000
C. 11,200
D. 11,100
E. 10,600
2. 42,283 – 26,875 = __________
A. 16,878
B. 16,468
C. 15,388
D. 15,178
E. 15,408
C.
D.
E.
D. 5,300
E. 5,400
D. 9
E. 6.5
D.
E.
3.
= __________
A.
B.
4.
A. 5,000
= __________ (nearest hundred)
B. 5,100
C. 5,200
5. Evaluate
A. 12
, for a = 5 and b = 10.
B. 6
C. 18
6. Which fraction is not equivalent to the fraction ?
A.
B.
C.
7. Marla watched a movie that lasted 2.2 hours and Hillary watched a different movie that lasted 1.25 hours.
How many minutes longer did Marla’s movie last than Hillary’s?
A. 95 minutes
B. 63 minutes
C. 43 minutes
D. 51 minutes
E. 57 minutes
8. Simplify:
A. 12m – 1
4m + 2(9m – 1) – 10m
B. 5m – 1
C. 5m – 2
D. 3m – 2
E. 12m – 2
D. 68 units2
E. 72 units2
9. What is the area of the isosceles trapezoid below?
A. 56 units2
B. 64 units2
C. 44 units2
10. How many more faces does a cube have than a triangular prism?
A. 4
B. 3
C. 2
D. 1
E. 0
11. 20 quarters + 20 dimes + 15 nickels + 25 pennies = __________
A. $7.50
B. $8.00
C. $7.75
D. $8.25
E. $8.50
12. What is the sum of the digits of the greatest palindrome less than 4,500?
A. 16
B. 26
C. 18
D. 8
E. 9
13. 2.1 kiloliters + 15,000 milliliters = __________ liters
A. 2,115
B. 2,250
C. 2,011.5
E. 3,600
D. 360
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TMSCA 24 – 25 MSMA Test #3
Page 2
14. What is the GCF of the numbers 28, 32, and 64?
A. 2
B. 1
C. 4
D. 14
15. What is the sum of the reciprocal of 5 and the multiplicative inverse of
A.
B.
C.
16. DXLI – DIX = __________ (Roman number)
A. XXVII
B. XXXII
C. XXIX
E. 8
?
D.
E.
D. XXXIV
E. XXXVII
17. Geremy caught a fish that weighed 8 pounds. How many ounces did Jeremy’s fish weigh?
A. 64 ounces
B. 256 ounces
C. 32 ounces
D. 72 ounces
E. 128 ounces
18. The angle measures in a quadrilateral are
,
A. 98
B. 154
C. 108
,
, and
. What is the value of x?
D. 158
E. 128
19. It takes 3 eggs to make a batch of cookies. There are 28 cookies in a batch of cookies. How many eggs are
needed to make 224 cookies?
A. 32 eggs
B. 18 eggs
C. 24 eggs
D. 16 eggs
E. 28 eggs
20. In the picture below, lines a and b are not parallel. Which of the following cannot be the value of n?
A. 14
B. 24
C. 114
D. 94
E. 104
21. Which inequality has the solution set as shown in the graph below?
A.
B.
C.
D.
E.
22. Let
, if the area of a circle is
A. 16 inches
B. 8 inches
in2, then the diameter of the circle is __________ .
C. 4 inches
D. 12 inches
E. 20 inches
23. What is 20% of 30% of 800?
A. 400
B. 48
C. 96
24.
A.
= __________ (scientific notation)
B.
C.
D. 54
E. 72
D.
E.
25. Tamara swims 24 laps on Monday, 30 laps on Tuesday, 28 laps on Wednesday, and 23 laps on Thursday.
How many laps must Tamara swim on Friday to have a total of 146 laps swam for the week?
A. 29
B. 33
C. 41
D. 39
E. 35
26. What is the next term of the sequence 1, 5, 6, 11, 17, …?
A. 28
B. 23
C. 24
D. 27
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E. 26
TMSCA 24 – 25 MSMA Test #3
Page 3
27. How many more diagonals can be drawn from one vertex of a regular nonagon than the number of diagonals
that can be drawn from one vertex of a square?
A. 6
B. 8
C. 5
D. 7
E. 4
28. What is the product of the range and inter-quartile range of the data in the box-and-whisker plot below?
A. 32
B. 28
29. If
A. 5
B. 8
C. 21
D. 195
, then what is the value of a + b + c + d?
C. 11
D. 4
E. 455
E. 6
30. How many rectangles can be found in the picture below?
A. 23
B. 24
C. 25
D. 26
E. 27
31.
A. 9
B. 5
C. 12
D. 13
E. 7
32. What is the measure of
, if A has coordinates
A. 16 units
B. 20 units
C. 24 units
33. If
A.
B.
, then what is the value of
C. 6
and B has coordinates
D. 22 units
?
D. 12
34. Two circles,
and
, have a difference between their circumferences of
positive difference between the radii of circles
and
?
A. 24 units
B. 42 units
C. 36 units
D. 16 units
35.
= __________
A.
B.
C.
D.
?
E. 18 units
E. 42
units. What is the
E. 28 units
E.
36. O’Brian has a collection of 89 coins consisting of dimes and nickels that total $7.65. How many more
dimes does O’Brian have than nickels?
A. 23
B. 11
C. 25
D. 33
E. 39
37.
A. 356
= __________ (base 8)
B. 255
C. 276
D. 377
E. 363
38. Point A has coordinates (4, 9). Point B has coordinates
. If point A is rotated
clockwise about
the origin to become point , what is the slope of the line passing through and B?
A.
B.
C.
D.
E.
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TMSCA 24 – 25 MSMA Test #3
39.
A.
= __________
B.
Page 4
C.
D.
E.
40. Sarah deposits $4,080 into a simple interest account paying 4.5%. How much interest will Sarah acquire
after 6 years, if she does not deposit any more money or withdrawal any money from her account?
A. $1,101.60
B. $1,121.20
C. $1,121.80
D. $1,024.60
E. $1,114.40
41. There are 800 fish in a local lake. If the fish population increases by 3% every year, which equation can be
used to find the fish population after x years?
A.
B.
C.
D.
E.
42. In a 30-60-90 right triangle, what is the measure of the hypotenuse, if the long leg of the special right
triangle measure 30 cm?
A.
cm
B.
cm
C.
cm
D.
cm
E.
cm
43. Which of the following is a real factor of the quadratic expression
A.
B.
C.
D.
?
E.
44. What is the product of the coordinates of the solution to the system of linear equations
?
A. 120
B. 160
C. 140
D. 220
E. 200
45. Which of the following is the geometric mean of the numbers 24 and 32?
A.
B.
C.
D.
E.
46. Simplify:
A.
B.
47. In the picture of
A.
C.
below,
B.
48. What is the 50th triangular number?
A. 1,125
B. 1,225
49. What is the value of
A. 65
B. 54
D.
. What is the measure of
?
C.
D.
E.
C. 1,150
D. 1,275
E. 1,250
D. 58
E. 64
D. ⅜
E. ⅚
, if c + d = 9 and cd = 8?
C. 72
50. What value of x makes the equation
A. ¼
B. ⅓
E.
?
C. ¾
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and
2024 – 2025 TMSCA Middle School Mathematics Test #3 Answer Key
1. B
18. E
35. D
2. E
19. C
36. E
3. A
20. E
37. D
4. C
21. E
38. C
5. A
22. A
39. E
6. C
23. B
40. A
7. E
24. D
41. E
8. E
25. C
42. B
9. D
26. A
43. C
10. D
27. C
44. B
11. B
28. C
45. D
12. A
29. A
46. A
13. A
30. C
47. C
14. C
31. B
48. D
15. D
32. B
49. A
16. B
33. E
50. C
17. E
34. B
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2024 – 2025 TMSCA Middle School Mathematics Test #3 Selected Answers
9. The formula for area of a trapezoid is
trapezoid. In the picture given, h = 4,
the area of the trapezoid to be
, where
and
are the bases and h is the height of the
. Substitute into the formula and get
2
units .
, and
12. The greatest palindrome less than 4,500 is equal to 4,444. Therefore, 4 + 4 + 4 + 4 = 16.
17. 1 pound = 16 ounces. Therefore, if Jeremy caught a fish weighing 8 pounds, then the fish Jeremy caught is
equal to 8(16) = 128 ounces.
18. A quadrilateral has a total of
. Therefore, x is equal to 360 – 43 – 101 – 88 = 128.
28. The range of the data from the box-and-whisker plot is equal to 67 – 60 = 7. The inter-quartile range of the
box-and-whisker plot is equal to 66 – 63 = 3. Therefore, the product of the range and the interquartile range of
the box-and-whisker plot is equal to 7(3) = 21.
32. The distance formula, given two points
and
given the two points
and
, so the length of
units.
, is
is
. We are
33. If
, then the value of
=
. Therefore, the value of
is equal to
, and
.
34. One formula for circumference of a circle is
. Let be the radius of
and be the radius of
. Create the equation
. Divide both sides of the equation by
and get
.
Therefore, the positive difference between the radii of circles
and
is equal to 42 units.
45. The geometric mean of two numbers, a and b, is equal to
is equal to
46. Using the exponent rules
to
,
can be simplified to
,
. Therefore, the geometric mean of 24 and 32
.
,
, and
,
,
can be simplified
can be simplified to
. Therefore, using the exponent rules,
49. If c + d = 9, then square both sides of the equation to get
. Since cd = 8, then we have
Subtract 16 from both sides of the equation to get
.
. This can be rewritten as
which becomes
.
.
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