Maths

• What is a fraction?


  A fraction is a number that represents a part of a whole.
• How are fractions used in everyday life?

  Fractions are used to represent parts of objects, measurements, or groups of items.
• If you eat 3 slices of a pizza cut into 8 slices, what fraction of the pizza have you eaten?


  $\frac{3}{8}$
• What are the two main parts of a fraction?

  The numerator and the denominator.
• What does the numerator in a fraction represent?


  The numerator represents the number of parts we're considering.
• What does the denominator in a fraction represent?


  The denominator represents the total number of equal parts the whole is divided into.
• In the fraction $\frac{3}{4}$, what is the numerator?


  3
• In the fraction $\frac{3}{4}$, what is the denominator?


  4
• What are equivalent fractions?

  Equivalent fractions are fractions that represent the same amount or proportion.
• How can you create equivalent fractions?


  By multiplying or dividing both the numerator and denominator by the same number.
• How can you check if two fractions are equivalent?


  You can cross-multiply and compare the results.
• Which fraction is equivalent to $\frac{2}{3}$?


  $\frac{6}{9}$
• What fraction is equivalent to $\frac{3}{4}$ when both the numerator and denominator are multiplied by 2?


  $\frac{6}{8}$
• What is the sum of $\frac{2}{5}$ and $\frac{1}{3}$?


  $\frac{11}{15}$
• What are the steps to add and subtract fractions?

  Find a common denominator, convert fractions, add or subtract the numerators, and simplify the result.
• What are the steps to multiply fractions?


  Multiply the numerators, multiply the denominators, and simplify the resulting fraction if possible.
• What is the sum of $\frac{1}{4}$ and $\frac{1}{6}$?


  $\frac{5}{12}$
• What is the result of multiplying $\frac{3}{5}$ by $\frac{2}{7}$?


  $\frac{6}{35}$
• What is the process for dividing fractions?

  Keep the first fraction, change the division sign to multiplication, flip the second fraction, and then multiply.
• What is $\frac{2}{3} \div \frac{1}{4}$ using the "Keep, Change, Flip" method?


  $\frac{8}{3}$
• What is an angle?


  An angle is formed when two lines or line segments meet at a point.
• What is the point called where two lines meet to form an angle?


  The point is called the vertex.
• What are the lines that form an angle called?


  The lines are called the arms or sides of the angle.
• How can you visualize an angle using scissors?


  • When scissors are opened, the blades form an angle.
  • The pivot point is the vertex.
  • The blades are the arms or sides of the angle.
• What is an acute angle?


  An acute angle is less than 90°.
• What is a right angle?


  A right angle is exactly 90°.
• What is an obtuse angle?


  An obtuse angle is greater than 90° but less than 180°.
• What is a straight angle?


  A straight angle is exactly 180°.
• What is a reflex angle?


  A reflex angle is greater than 180° but less than 360°.
• What are the key measurements of angles in degrees?


  • A full rotation is 360°.
  • A straight line is 180°.
  • A right angle is 90°.
• If you turn from north to east, how many degrees have you turned?


  You have turned through a right angle, which is 90°.
• If you turn from east to west, how many degrees have you turned?


  You have turned through 180°.
• What are complementary and supplementary angles?

  • Complementary angles: Two angles that add up to 90°.
  • Supplementary angles: Two angles that add up to 180°.
• If angle A is 45° and is complementary to angle B, what is the measure of angle B?


  Angle B is 45°.
• What is the sum of angles in a triangle?


  • The sum of all angles in a triangle is always 180°.
  • An equilateral triangle has all angles equal to 60°.
  • A right-angled triangle has one angle equal to 90°.
• In a triangle, if one angle is 90° and another is 45°, what is the measure of the third angle?


  The third angle is 45°.
• What are the angle properties of common shapes?


  • Square/Rectangle: All four angles are 90°.
  • Regular pentagon: Each interior angle is 108°.
  • Circle: A full circle is 360°.
• What is a ratio?


  A ratio is a comparison between two or more quantities.
• How does a ratio show relationships between quantities?


  It shows how much of one thing there is compared to another.
• If a recipe calls for 2 cups of flour and 1 cup of sugar, what is the ratio of flour to sugar?


  The ratio is 2:1.