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Questions and Answers
What is the duration of the examination?
What is the duration of the examination?
Which materials are NOT required for the examination?
Which materials are NOT required for the examination?
What is the maximum total mark for this paper?
What is the maximum total mark for this paper?
Which statement about pencil usage in the exam is correct?
Which statement about pencil usage in the exam is correct?
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What should a candidate do if they forget to fill in their name and candidate number?
What should a candidate do if they forget to fill in their name and candidate number?
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In the case that a calculator does not have a π button, what value should be used for π?
In the case that a calculator does not have a π button, what value should be used for π?
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What is advised to do if a candidate completes all questions and has extra time?
What is advised to do if a candidate completes all questions and has extra time?
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What type of tier is this exam categorized under?
What type of tier is this exam categorized under?
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What is the total number of sections on Majid's spinner?
What is the total number of sections on Majid's spinner?
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What is the probability that the arrow will land on any one of the sections?
What is the probability that the arrow will land on any one of the sections?
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If Majid says the probability of landing on section 2 is correct, which value must it represent?
If Majid says the probability of landing on section 2 is correct, which value must it represent?
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Is Majid's statement about the probability of landing on 2 accurate?
Is Majid's statement about the probability of landing on 2 accurate?
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What would be the probability of not landing on section 2?
What would be the probability of not landing on section 2?
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What is the combined probability of landing on either section 1 or section 3?
What is the combined probability of landing on either section 1 or section 3?
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If Majid spins the spinner 9 times, how many times would he expect to land on section 2?
If Majid spins the spinner 9 times, how many times would he expect to land on section 2?
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Which of the following statements is true about the spinner?
Which of the following statements is true about the spinner?
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What is the length of side CB in triangle ABC, given side AB is 19 cm and side AC is 10 cm?
What is the length of side CB in triangle ABC, given side AB is 19 cm and side AC is 10 cm?
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What is the product of the prime factors of the number 90?
What is the product of the prime factors of the number 90?
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What type of triangle is triangle ABC?
What type of triangle is triangle ABC?
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If side AB of triangle ABC measures 19 cm, which of the following must be true regarding the sides of the triangle?
If side AB of triangle ABC measures 19 cm, which of the following must be true regarding the sides of the triangle?
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To what three significant figures should the length of CB be rounded?
To what three significant figures should the length of CB be rounded?
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Which of the following equations represents the relationship between the sides of triangle ABC given its right angle?
Which of the following equations represents the relationship between the sides of triangle ABC given its right angle?
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What is the approximate area of triangle ABC if it has a base of 19 cm and height of 10 cm?
What is the approximate area of triangle ABC if it has a base of 19 cm and height of 10 cm?
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Which of the following could be the length of side AC in triangle ABC if CB is calculated using the Pythagorean theorem?
Which of the following could be the length of side AC in triangle ABC if CB is calculated using the Pythagorean theorem?
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How many bars of chocolate does Saira buy in total?
How many bars of chocolate does Saira buy in total?
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How many of the chocolate bars are white chocolate?
How many of the chocolate bars are white chocolate?
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If there are 24 bars of chocolate and 2 are white, how many are milk chocolate?
If there are 24 bars of chocolate and 2 are white, how many are milk chocolate?
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What fraction of the chocolate bars are white chocolate?
What fraction of the chocolate bars are white chocolate?
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What percentage of the total bars are milk chocolate?
What percentage of the total bars are milk chocolate?
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If Saira wanted to maintain the same ratio of white to milk chocolate but had only 12 bars, how many would be white chocolate?
If Saira wanted to maintain the same ratio of white to milk chocolate but had only 12 bars, how many would be white chocolate?
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If Saira decides to give away all the white chocolate bars, how many bars does she have left?
If Saira decides to give away all the white chocolate bars, how many bars does she have left?
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If Saira decides to buy 12 more bars, maintaining the same quantities of white and milk chocolate, how many total bars will she have?
If Saira decides to buy 12 more bars, maintaining the same quantities of white and milk chocolate, how many total bars will she have?
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What is the value of y when x = 1 for the function y = x² - x?
What is the value of y when x = 1 for the function y = x² - x?
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Which of the following values for x yields the maximum value of y = x² - x?
Which of the following values for x yields the maximum value of y = x² - x?
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What is the quadratic equation representation of the function y = x² - x?
What is the quadratic equation representation of the function y = x² - x?
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Using the values in the table, what is the value of y when x = -2?
Using the values in the table, what is the value of y when x = -2?
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If the equation x² - x = 4 is solved graphically, where will the solutions be found?
If the equation x² - x = 4 is solved graphically, where will the solutions be found?
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What is the nature of the graph of the function y = x² - x?
What is the nature of the graph of the function y = x² - x?
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Which x-value results in the lowest output value for y = x² - x within the given range?
Which x-value results in the lowest output value for y = x² - x within the given range?
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What is the y-intercept of the function y = x² - x?
What is the y-intercept of the function y = x² - x?
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Study Notes
Pythagoras
- A right-angled triangle has a hypotenuse that is the longest side
- The other two sides are shorter, and are called the legs or the "adjacent" and "opposite" sides relative to an angle
- Pythagoras' Theorem states: a² + b² = c² where c is the hypotenuse
- Use the theorem to calculate the length of any side of a right-angled triangle when you know two side lengths
Prime Factorization
- Prime factorization is when you break down a positive integer into its prime number factors.
- A prime number is a whole number greater than 1 that has only two divisors (factors): unity (1) and itself.
- When 90 is broken down into prime factors you get: 2 x 3 x 3 x 5
Probability
- Probability is the chance of a specific event happening out of all the possible outcomes that could occur.
- The probability that a specific outcome will happen from a set of events is the number of times that specific outcome can occur divided by the total number of possible outcomes.
- Probability is represented as a decimal or a fraction.
Fractions in Real World Problems
- You can use fractions to calculate the proportion of a whole item or set of items.
- The whole number must be multiplied by the numerator of the fraction, then divided by the denominator of the fraction.
Quadratic Graphs
- Quadratic equations are of the form y = ax² + bx + c, where a, b and c are constants.
- When plotted on a graph, the equation results in a parabola
- The parabola intersects the y-axis at the point with the same coordinates as the constant "c" in the equation
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Description
This quiz covers important mathematical concepts including Pythagoras' theorem, prime factorization, and basic probability. Each section provides foundational knowledge and examples to help you understand how to apply these principles in problem-solving. Test your understanding and boost your mathematical skills!
