6th Grade Math Final Exam: Numbers, Geometry

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Questions and Answers

A farmer harvests 345 mangoes and 678 apples. What is the combined total of the fruits?

  • 1,033
  • 923
  • 1,023 (correct)
  • 1,013

A school has 2,460 students, and they are divided into 6 equal groups for a competition. How many students are in each group?

  • 420
  • 410 (correct)
  • 400
  • 430

Which of the following sets contains only prime numbers between 10 and 20?

  • 10, 15, 17, 19
  • 11, 13, 17, 19 (correct)
  • 11, 13, 15, 19
  • 12, 14, 16, 18

What is the greatest common factor (GCF) of 36 and 48?

<p>12 (D)</p> Signup and view all the answers

What is the least common multiple (LCM) of 8 and 12?

<p>24 (C)</p> Signup and view all the answers

Convert the fraction 3/5 into its decimal equivalent.

<p>0.6 (B)</p> Signup and view all the answers

Express the decimal 2.75 as an improper fraction in its simplest form.

<p>11/4 (D)</p> Signup and view all the answers

Calculate the sum: $\frac{5}{6} + \frac{1}{4}$

<p>13/12 (C)</p> Signup and view all the answers

Evaluate the expression: $\frac{3}{4} \times \frac{2}{3}$

<p>1/2 (B)</p> Signup and view all the answers

Convert the percentage 125% to a fraction in its simplest form.

<p>5/4 (A)</p> Signup and view all the answers

Flashcards

What is a prime number?

A number that is only divisible by 1 and itself.

What is FPB (Greatest Common Factor)?

The greatest factor that divides two or more numbers.

What is KPK (Least Common Multiple)?

The smallest multiple that is common to two or more numbers.

What is a fraction?

A way to represent parts of a whole or any number of equal parts.

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What is a decimal?

A number expressed in base 10 notation, using a decimal point.

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What is perimeter?

The total distance around the outside of a two-dimensional shape.

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What is area?

The amount of space inside a two-dimensional shape.

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What is volume?

The amount of space that an object occupies.

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What is the median?

The middle value in a sorted list of numbers.

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What is the mode?

The number that appears most often in a set of data.

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Study Notes

  • This is a set of 40 multiple-choice questions with answers for a mathematics final exam for 6th grade in the Independent Curriculum
  • The questions cover numbers, arithmetic operations, fractions, decimals, geometry, measurement, statistics, and probability

Numbers and Arithmetic Operations

  • 345 + 678 = 1,023
  • 2,460 ÷ 6 = 410
  • Prime numbers between 10 and 20 are 11, 13, 17, and 19
  • The greatest common factor (FPB) of 36 and 48 is 12
  • The least common multiple (KPK) of 8 and 12 is 24

Fractions and Decimals

  • The decimal form of 3/5 is 0.6
  • 2.75 written as a common fraction is 2 3/4
  • 5/6 + 1/4 = 11/12
  • 3/4 × 2/3 = 1/2
  • 125% as a fraction is 5/4

Geometry and Measurement

  • A triangle with sides of 6 cm, 8 cm, and 10 cm has a perimeter of 24 cm
  • A square with sides of 12 cm has an area of 144 cm²
  • A rectangle with a length of 15 cm and a width of 8 cm has an area of 120 cm²
  • A cuboid with a length of 10 cm, a width of 5 cm, and a height of 4 cm has a volume of 200 cm³
  • A circle with a diameter of 14 cm has an area of 154 cm² (using Ï€ = 22/7)

Statistics and Probability

  • The average (mean) of 5, 7, 9, 11, and 13 is 9
  • The mode (most frequent value) of the data set 3, 5, 7, 5, 8, 5, 9 is 5
  • The median of the data set 2, 4, 6, 8, 10 is 6
  • The probability of rolling a 4 on a standard six-sided die is 1/6
  • In a class of 30 students, 18 like soccer and 12 like basketball; 60% of the students like soccer

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