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Quizzes > High School Quizzes > Mathematics

Ace Your FS Assessments Practice Test

Boost your exam skills with expert tips

Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Colorful paper art promoting FSAssess Mastery Quiz for high school exam preparation.

What is 45 + 27?
82
70
72
62
Adding 45 and 27 yields 72 because you add the tens (40 + 20 = 60) and the ones (5 + 7 = 12) to get 72. This straightforward addition confirms the correct answer.
In the number 3,581, what is the value of the digit 5?
5,000
50
5
500
The digit 5 in 3,581 is located in the hundreds place, which means its value is 500. Recognizing place value helps determine each digit's worth in a number.
What is 15 - 9?
8
6
5
7
Subtracting 9 from 15 results in 6. This basic subtraction problem reinforces fundamental arithmetic skills.
Which of the following is a prime number?
13
9
12
15
A prime number has exactly two distinct positive divisors: 1 and itself. Among the options, 13 meets this criterion.
What is 6 x 7?
36
48
56
42
Multiplying 6 by 7 gives 42 because 6 added together 7 times totals 42. This multiplication fact is fundamental to arithmetic.
Calculate 3/4 + 1/8.
7/8
5/8
1/2
3/4
To add the fractions, first convert 3/4 to 6/8 so both fractions have a common denominator. Then, 6/8 added to 1/8 equals 7/8.
What is 0.75 as a fraction in simplest form?
3/4
7/10
3/5
1/2
The decimal 0.75 is equivalent to 75/100, which simplifies to 3/4 when both the numerator and denominator are divided by 25. This conversion is a key skill in understanding decimals and fractions.
What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?
13 cm
26 cm
16 cm
40 cm
The perimeter of a rectangle is calculated using the formula 2 Ã - (length + width). Substituting the given values, 2 Ã - (8 + 5) equals 26 cm.
If 4 boxes contain a total of 36 pencils, how many pencils does 1 box contain?
9
12
10
8
Dividing the total number of pencils (36) by the number of boxes (4) results in 9 pencils per box. This question reinforces the concept of division.
Which of the following decimals is the largest: 0.68, 0.76, 0.69, or 0.71?
0.76
0.68
0.69
0.71
By comparing the decimals place by place, 0.76 is determined to be the largest. Understanding decimal values and place value is essential to making such comparisons.
Solve: 7 x (3 + 4) - 5.
45
47
42
44
Following the order of operations, first add 3 and 4 to get 7, then multiply by 7 to obtain 49, and finally subtract 5 to get 44. This ensures that operations are performed in the correct sequence.
What is the area of a triangle with a base of 10 cm and a height of 6 cm?
20 cm²
30 cm²
16 cm²
60 cm²
The area of a triangle is calculated using the formula ½ à - base à - height. Substituting the provided values gives ½ à - 10 à - 6 = 30 cm².
A line graph shows a steady increase from 2 to 10 over 8 intervals. What is the constant increase per interval?
2
1.5
0.8
1
The total increase is 10 - 2 = 8, and dividing this by 8 intervals gives an increase of 1 per interval. This question applies the concept of average change.
How do you convert 3 kilometers to meters?
30 m
30000 m
300 m
3000 m
Since 1 kilometer is equal to 1000 meters, multiplying 3 by 1000 results in 3000 meters. Unit conversion like this is fundamental in mathematics.
If a = 5 and b = 3, what is the value of 2a + 4b?
20
26
22
28
Substituting the values into the expression gives 2(5) + 4(3) = 10 + 12 = 22. This reinforces using basic algebraic techniques to solve expressions.
Simplify (2/3) x (9/4).
18/12
3/2
1/2
4/3
Multiply the numerators (2 x 9) and the denominators (3 x 4) to get 18/12, then simplify by dividing both by 6, resulting in 3/2. Simplifying fractions is an important skill in mathematics.
A rectangle has its length increased by 20% and its width decreased by 10%. What is the effect on its area?
8% increase
12% increase
8% decrease
10% increase
Increasing the length by 20% multiplies it by 1.20, while decreasing the width by 10% multiplies it by 0.90. Their product (1.20 x 0.90 = 1.08) indicates an 8% increase in the area.
The average of 5 numbers is 12. If one number is removed and the new average is 11, what is the removed number?
16
12
18
14
The total sum of the 5 numbers is 5 x 12 = 60. After one number is removed, the sum of the remaining 4 numbers is 4 x 11 = 44; subtracting gives 60 - 44 = 16 for the removed number.
If the ratio of boys to girls in a class is 3:4 and there are 21 boys, how many girls are there?
24
32
35
28
With a ratio of 3:4, dividing the number of boys (21) by 3 gives the multiplier 7, and multiplying 4 by 7 gives 28 girls. This problem demonstrates the practical application of ratios.
A store sold 50 pencils. If 2/5 of them were red, how many red pencils were sold?
15
20
30
25
Multiplying the total number of pencils (50) by the fraction 2/5 gives 20 red pencils. This question reinforces the use of fractions in determining parts of a whole.
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Study Outcomes

  1. Understand key mathematical concepts aligned with Florida Standards Assessments.
  2. Analyze problem-solving strategies used in standardized tests.
  3. Apply mathematical reasoning to solve practical quiz questions.
  4. Evaluate personal performance to identify areas for improvement.
  5. Synthesize various techniques to build exam readiness and confidence.

FS Assessments Practice Test Cheat Sheet

  1. Master adding and subtracting fractions with unlike denominators - Learn to find a common denominator so you can combine any two fractions, like converting 1/4 and 1/3 into 3/12 and 4/12 before adding to get 7/12. This skill makes fraction work feel like second nature, and it's key for tackling tougher math problems. Get extra practice and step‑by‑step guides on IXL.
  2. Understand place value in multi‑digit numbers - Each digit in a number is ten times the value of the digit to its right, so the 4 in 345 represents 40 (ten times the 4 in 45). Mastering this helps you read, write, and compare big numbers quickly. Dive deeper with interactive exercises on IXL.
  3. Multiply and divide decimals to the hundredths - Use place‑value strategies to line up decimal points, like multiplying 0.6 by 0.3 to get 0.18 or dividing 1.2 by 0.4 to get 3.0. Practicing these steps builds confidence for more complex decimal operations. Check out clear examples and practice problems on IXL.
  4. Calculate the volume of right rectangular prisms - Use the formula V = l × w × h to find volume, such as 2 cm × 3 cm × 4 cm = 24 cm³. Visualizing prisms helps you apply the formula correctly every time. Reinforce your understanding with hands‑on problems on IXL.
  5. Graph and interpret points in the first quadrant - Plot points like (3, 2) by moving 3 units right and 2 units up from the origin. This builds the foundation for coordinate geometry and real‑world applications like mapping. Practice plotting with fun challenges on IXL.
  6. Solve word problems with fraction addition and subtraction - Translate stories into fraction equations and use models (like pie charts) to visualize additions or subtractions. This method turns tricky word problems into step‑by‑step solutions. Try interactive word problem drills on IXL.
  7. See fractions as division - Understand that 3/4 means 3 divided by 4, which helps connect fractions to decimals and percentages. This perspective makes operations like converting 3/4 into 0.75 feel logical. Explore more fraction‑division links on IXL.
  8. Multiply fractions and find areas with fractional sides - Multiply 1/2 by 1/3 to get the area 1/6 for a rectangle with those side lengths. This reinforces both multiplication rules and geometric concepts. Solidify your skills with area puzzles on IXL.
  9. Divide unit fractions by whole numbers (and vice versa) - Practice that 1/2 ÷ 3 = 1/6 and 4 ÷ 1/3 = 12 by flipping and multiplying. These operations are essential for advanced fraction work and real‑life scenarios like recipe adjustments. Get more division drills on IXL.
  10. Round decimals and understand place‑value relationships - Learn to round 3.456 to 3.5 (nearest tenth) or 3.46 (nearest hundredth) by looking at the next digit. Mastering this lets you estimate quickly and check your work for reasonableness. Practice rounding games and quizzes on IXL.
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