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4TH GRADE MATH CHAMPIONSHIP
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SOL Math Showdown
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Prepared for Virginia Elementary Schools • Mathematics Review
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ROUND 1
Number & Number Sense
SOL 4.1 & 4.2
+100 PTS
CHALLENGE 01 (SOL 4.1a) Place Value & Rounding
The population of Richmond, Virginia was estimated to be 226,610. What is this number rounded to the nearest ten thousand?
A 220,000
B 230,000
C 200,000
D 227,000
CHALLENGE 02 (SOL 4.2a) Comparing Fractions
Which statement is true about the model below? Let the square be 1 whole.
Model X
vs
Model Y
A Model X > Model Y (\(\frac{3}{4} > \frac{2}{4}\))
B Model X < Model Y (\(\frac{3}{4} < \frac{2}{4}\))
C Model X = Model Y (\(\frac{3}{4} = \frac{2}{4}\))
D Model X > Model Y (\(\frac{3}{4} > \frac{1}{2}\))
SOL Math Showdown • Grade 4 Slide 2 of 23
ROUND 2
Decimals & Fractions
SOL 4.2 & 4.3
+100 PTS
CHALLENGE 03 (SOL 4.3b) Decimal Place Value
In the number 457.82, which digit sits in the hundredths place, and what is its value?
Hundreds | Tenths | Hundredths
A The digit 8, representing 0.8
B The digit 2, representing 0.02
C The digit 7, representing 7
D The digit 2, representing 0.2
CHALLENGE 04 (SOL 4.3d) Comparing Decimals
Which inequality correctly compares the values represented by the shaded models below?
Model A (0.60)
vs
Model B (0.65)
A 0.60 > 0.65
B 0.60 = 0.65
C 0.60 < 0.65
D 0.06 > 0.65
SOL Math Showdown • Grade 4 Slide 3 of 23
ROUND 3
Whole Number Warriors
SOL 4.4
+100 PTS
CHALLENGE 05 (SOL 4.4b) Multiplication Mastery
A state park in Virginia has 14 camping loops. Each loop can hold exactly 28 tents. What is the total number of tents that can be set up in the park at one time?
A 112 tents
B 392 tents
C 420 tents
D 292 tents
CHALLENGE 06 (SOL 4.4c) Division & Remainders
An art teacher has 314 paintbrushes to organize into storage cups. Each cup holds 6 paintbrushes. How many storage cups are filled, and how many are left over?
A 52 cups filled with 2 left over
B 51 cups filled with 8 left over
C 52 cups filled with 4 left over
D 50 cups filled with 14 left over
SOL Math Showdown • Grade 4 Slide 4 of 23
ROUND 4
Fraction & Decimal Duals
SOL 4.5
+100 PTS
CHALLENGE 07 (SOL 4.5a) Fraction Addition
Marcus walked \(\frac{3}{10}\) of a mile to the library, and then another \(\frac{4}{10}\) of a mile to the park. How far did Marcus walk in all?
A \(\frac{7}{20}\) mile
B \(\frac{7}{10}\) mile
C \(\frac{1}{10}\) mile
D \(\frac{12}{10}\) miles
CHALLENGE 08 (SOL 4.5b) Decimal Practical Problems
Elena bought a folder for $1.45 and a set of markers for $3.89. She paid with a $10.00 bill. How much change should Elena receive?
A $5.34
B $4.66
C $6.66
D $4.56
SOL Math Showdown • Grade 4 Slide 5 of 23
ROUND 5
Factors, Multiples & Prime
SOL 4.6
+100 PTS
CHALLENGE 09 (SOL 4.6a) Prime vs. Composite
Which list contains ONLY composite numbers?
Composite: Has 3+ factors!
A 9, 15, 21, 25
B 2, 4, 6, 8
C 11, 13, 17, 19
D 1, 3, 5, 7
CHALLENGE 10 (SOL 4.6b) Common Multiples
Which number is a common multiple of 4 and 6?
Multiple: Count-by numbers!
A 2
B 12
C 18
D 16
SOL Math Showdown • Grade 4 Slide 6 of 23
ROUND 6
Measurement Masters
SOL 4.7 & 4.8
+100 PTS
CHALLENGE 11 (SOL 4.7) Area & Perimeter
A rectangular garden plot has a length of 9 feet and an area of 54 square feet. What is the perimeter of the garden plot?
A 15 feet
B 30 feet
C 60 feet
D 36 feet
CHALLENGE 12 (SOL 4.8) Measurement Conversions
A pitcher contains 3 gallons of lemonade. How many quarts of lemonade are in the pitcher?
1 gallon = 4 quarts
A 12 quarts
B 6 quarts
C 24 quarts
D 8 quarts
SOL Math Showdown • Grade 4 Slide 7 of 23
ROUND 7
Time & Geometry
SOL 4.9 & 4.10
+100 PTS
CHALLENGE 13 (SOL 4.9) Elapsed Time
School ends at 2:40 P.M. Sofia arrived at soccer practice at 4:15 P.M. How much elapsed time passed between the end of school and the start of practice?
A 1 hour and 35 minutes
B 2 hours and 25 minutes
C 1 hour and 25 minutes
D 1 hour and 15 minutes
CHALLENGE 14 (SOL 4.10) Lines & Angles
Which terms correctly describe the pair of lines and the angle shown below?
Lines M & N
Angle Q
A Perpendicular Lines; Right Angle
B Intersecting Lines; Obtuse Angle
C Parallel Lines; Acute Angle
D Parallel Lines; Obtuse Angle
SOL Math Showdown • Grade 4 Slide 8 of 23
ROUND 8
Congruence & Symmetry
SOL 4.11 & 4.12
+100 PTS
CHALLENGE 15 (SOL 4.11) Congruence
Which statement best explains why two geometric figures are considered congruent?
Rule: Same Shape & Same Size!
A They have the same shape but different sizes.
B They have the same size and the same shape.
C They have the same number of sides but different angles.
D They are both quadrilaterals.
CHALLENGE 16 (SOL 4.12) Lines of Symmetry
Which figure shows a dotted line that is a correct line of symmetry?
Fig W
Fig X
A Figure W only
B Figure X only
C Both Figure W and Figure X
D Neither Figure W nor Figure X
SOL Math Showdown • Grade 4 Slide 9 of 23
ROUND 9
Data & Probability
SOL 4.13 & 4.14
+100 PTS
CHALLENGE 17 (SOL 4.13) Probability Outcomes
A bag contains 4 red marbles, 2 blue marbles, and 6 green marbles. If you pull one marble without looking, which statement is true?
Red: 4 Blue: 2 Green: 6 Total: 12
A It is equally likely to pull red or green.
B It is impossible to pull a yellow marble.
C Pulling a blue marble is highly likely.
D The probability of pulling a green is \(\frac{6}{10}\).
CHALLENGE 18 (SOL 4.14) Bar Graph Analysis
Based on the bar graph below showing students' favorite subjects, how many more students chose Math than Science?
Math:
16
Science:
8
Reading:
12
A 6 students
B 8 students
C 24 students
D 4 students
SOL Math Showdown • Grade 4 Slide 10 of 23
ROUND 10
Patterns & Algebra
SOL 4.15 & 4.16
+100 PTS
CHALLENGE 19 (SOL 4.15) Extending Patterns
An increasing pattern starts as shown below. If the pattern continues multiplying the same value, what is the 6th term?
3, 6, 12, 24, ?, ?
A 48
B 96
C 30
D 72
CHALLENGE 20 (SOL 4.16) Equality & Variables
Which value of \(y\) makes this equation true?
\[28 + 12 = y \times 8\]
A \(y = 5\)
B \(y = 40\)
C \(y = 4\)
D \(y = 6\)
SOL Math Showdown • Grade 4 Slide 11 of 23
ROUND 11
Number Sense Expansion
SOL 4.1 & 4.2
+100 PTS
CHALLENGE 21 (SOL 4.1b) Comparing Numbers
Which number correctly fills the blank to make this statement true? 456,712 > ______________ > 452,900
A 456,800
B 451,200
C 454,350
D 457,000
CHALLENGE 22 (SOL 4.2b) Equivalent Fractions
If the fraction \(\frac{2}{3}\) is represented on a model, which of the following is an equivalent fraction that can be formed by doubling the division parts?
\(\frac{2}{3} = \frac{?}{6}\)
A \(\frac{3}{6}\)
B \(\frac{4}{6}\)
C \(\frac{5}{6}\)
D \(\frac{2}{6}\)
SOL Math Showdown • Grade 4 Slide 12 of 23
ROUND 12
Decimals & Fractions Extra
SOL 4.3
+100 PTS
CHALLENGE 23 (SOL 4.3a) Reading Decimals
Which of the following represents the number three and twelve hundredths in standard decimal form?
A 3.12
B 312
C 3.012
D 0.312
CHALLENGE 24 (SOL 4.3c) Rounding Decimals
What is the decimal number 8.46 rounded to the nearest tenth?
A 8.0
B 8.4
C 8.5
D 9.0
SOL Math Showdown • Grade 4 Slide 13 of 23
ROUND 13
Whole Number Warriors II
SOL 4.4
+100 PTS
CHALLENGE 25 (SOL 4.4a) Estimation
A school ordered 61 boxes of calculators. Each box contains 28 calculators. Which of the following is the best estimate of the total number of calculators ordered?
A 1,200 calculators
B 1,800 calculators
C 2,400 calculators
D 3,000 calculators
CHALLENGE 26 (SOL 4.4d) Practical Division
An apple orchard harvested 248 apples. The farmers packed them equally into 4 large crates. How many apples did they put in each crate?
A 52 apples
B 62 apples
C 72 apples
D 60 apples
SOL Math Showdown • Grade 4 Slide 14 of 23
ROUND 14
Fraction & Decimal Duals II
SOL 4.5
+100 PTS
CHALLENGE 27 (SOL 4.5a) Fraction Subtraction
A recipe requires \(\frac{7}{8}\) of a cup of flour. Jessica has already added \(\frac{3}{8}\) of a cup. How much more flour does she need to complete the recipe?
A \(\frac{4}{8}\) cup
B \(\frac{10}{8}\) cups
C \(\frac{4}{16}\) cup
D \(\frac{1}{2}\) cup
CHALLENGE 28 (SOL 4.5b) Decimal Multi-Step
Thomas bought a sandwich for $4.50 and a drink for $1.75. If he hands the cashier a $10.00 bill, how much change does he get?
A $6.25
B $3.75
C $4.75
D $3.25
SOL Math Showdown • Grade 4 Slide 15 of 23
ROUND 15
Factors, Multiples & Primes II
SOL 4.6
+100 PTS
CHALLENGE 29 (SOL 4.6a) Factors
Which of the following is a complete list of all factors of the number 18?
A 1, 2, 3, 6, 9, 18
B 2, 3, 6, 9
C 1, 18
D 1, 2, 4, 9, 18
CHALLENGE 30 (SOL 4.6b) Common Factors
What is the Greatest Common Factor (GCF) of 12 and 16?
A 2
B 4
C 6
D 8
SOL Math Showdown • Grade 4 Slide 16 of 23
ROUND 16
Measurement Masters II
SOL 4.7 & 4.8
+100 PTS
CHALLENGE 31 (SOL 4.7) Perimeter Search
A square-shaped playground has a perimeter of 36 meters. What is the length of one of its sides?
A 6 meters
B 9 meters
C 12 meters
D 18 meters
CHALLENGE 32 (SOL 4.8) Pounds & Ounces
A commercial delivery box weighs 4 pounds. How many ounces does the box weigh?
1 pound = 16 ounces
A 32 ounces
B 48 ounces
C 64 ounces
D 16 ounces
SOL Math Showdown • Grade 4 Slide 17 of 23
ROUND 17
Time & Geometry II
SOL 4.9 & 4.10
+100 PTS
CHALLENGE 33 (SOL 4.9) Elapsed Time Timeline
A local history tour starts at 10:15 A.M. and lasts for 2 hours and 50 minutes. At what time does the history tour end?
A 12:05 P.M.
B 1:05 P.M.
C 12:55 P.M.
D 1:15 P.M.
CHALLENGE 34 (SOL 4.10) Geometric Elements
Which element has exactly one endpoint and extends infinitely in the other direction?
A Line
B Line Segment
C Ray
D Angle
SOL Math Showdown • Grade 4 Slide 18 of 23
ROUND 18
Congruence & Symmetry II
SOL 4.11 & 4.12
+100 PTS
CHALLENGE 35 (SOL 4.11) Corresponding Parts
If Triangle ABC is congruent to Triangle DEF, which side in Triangle DEF corresponds to side AB?
Triangle ABC ≅ Triangle DEF
A Side DE
B Side EF
C Side DF
D Side BC
CHALLENGE 36 (SOL 4.12) Symmetry Count
How many lines of symmetry does a standard square have?
A 2 lines
B 4 lines
C 8 lines
D Infinite lines
SOL Math Showdown • Grade 4 Slide 19 of 23
ROUND 19
Data & Probability II
SOL 4.13 & 4.14
+100 PTS
CHALLENGE 37 (SOL 4.13) Spinner Outcomes
A spinner is divided into 8 equal sections: 5 blue, 2 green, and 1 red. What is the probability of landing on a green section?
A \(\frac{2}{5}\)
B \(\frac{2}{8}\)
C \(\frac{5}{8}\)
D \(\frac{1}{8}\)
CHALLENGE 38 (SOL 4.14) Line Graph trends
A line graph tracks high temperatures in Virginia over 5 days: 70°F, 72°F, 75°F, 71°F, and 80°F. What was the temperature difference between the warmest and coolest days?
A 8 degrees
B 10 degrees
C 5 degrees
D 12 degrees
SOL Math Showdown • Grade 4 Slide 20 of 23
ROUND 20
Patterns & Algebra II
SOL 4.15 & 4.16
+100 PTS
CHALLENGE 39 (SOL 4.15) Decreasing Patterns
A decreasing pattern is shown below. If the pattern continues subtracting the same value, what is the next number?
45, 38, 31, 24, ?
A 15
B 17
C 19
D 21
CHALLENGE 40 (SOL 4.16) Distributive Property
Which equation shows a correct use of the distributive property of multiplication?
A \(3 \times (4 + 5) = (3 \times 4) + (3 \times 5)\)
B \(3 \times (4 + 5) = 3 \times 4 \times 5\)
C \(3 \times (4 + 5) = (3 + 4) \times (3 + 5)\)
SOL Math Showdown • Grade 4 Slide 21 of 23
FINAL BOSS ROUND
The Ultimate Virginia SOL Quest
SOL 4.4 & 4.5 Multi-Step
+500 PTS
MEGA MUTANT SOL
Level 100 • HP 9999
"Only true math warriors can solve a multi-step practical quest!"
FINAL CHALLENGE (SOL 4.4d)
A family of 4 is traveling to historic Jamestown. Each adult ticket costs $18, and each child ticket costs $12. If they pay with a $100 bill, how much change should they receive?
A $40
B $30
C $60
D $70
SOL Math Showdown • Grade 4 Slide 22 of 23
Showdown Complete
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Standards Covered
16 Standards
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Ultimate 4th Grade Virginia SOL Desk Reference
Level Up!
1. Number Sense Station
Place Value Map
H.Th100k
T.Th10k
Th1k
H100
T10
O1
.
t0.1
h0.01
Fractions & Decimals
\(\frac{1}{2}\) 0.5
\(\frac{1}{4}\) 0.25
\(\frac{3}{4}\) 0.75
\(\frac{1}{10}\) 0.1
\(\frac{1}{4}\)
\(\frac{1}{2} = \frac{2}{4}\)
2. Operations & Primes
Word Problem Keywords
+ ADD Sum, Total, Combine, Altogether
- SUBTRACT Difference, How many more, Left
× MULTIPLY Product, Times, Each (groups of)
÷ DIVIDE Quotient, Split equally, Share
Prime & Composite
PRIME: Exactly 2 factors (1 & itself). 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
COMPOSITE: More than 2 factors. 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20
3. Measurement Masters
Area & Perimeter
Perimeter (P) P = l + l + w + w Add all outer sides
Area (A) A = l × w Inside square units
Measurement Conversions
Capacity 1 Gal = 4 Quarts 1 Qt = 2 Pints
Weight/Mass 1 Lb = 16 Oz 1 Kg = 1000g
Length 1 Ft = 12 In 1 Yd = 3 Ft
Time Tip: Draw a timeline to count the jumps between start and end times!
4. Geometry & Algebra
Lines Mapping
- Parallel: Never cross.
- Perpendicular: Cross at \(90^\circ\).
- Intersecting: Cross over.
Angle Types
- Acute: \(< 90^\circ\) ("so cute!")
- Right: Exactly \(90^\circ\) (corner box)
- Obtuse: \(> 90^\circ\) (large open)
Equality & Properties
The Golden Equation Rule: Whatever you do to one side of the equal sign, you must keep equal to the other side!
LHS = RHS • \(12 + 8 = 4 \times 5\)
Congruent: Same Shape AND Same Size!
ARENA CHAMPION MINDSET
Always double-check your calculations. Draw pictures, estimate answers first, and trust your hard-working brain!
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