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Questions and Answers
When substituting a value for $x$ in the expression $\frac{3(x-2)^2}{5}$, which operation is performed first?
When substituting a value for $x$ in the expression $\frac{3(x-2)^2}{5}$, which operation is performed first?
- Square
- Divide by 5
- Multiply by 3
- Subtract 2 (correct)
A book is measured to be 25 cm to the nearest centimeter. Which of the following represents the range of possible lengths for the book?
A book is measured to be 25 cm to the nearest centimeter. Which of the following represents the range of possible lengths for the book?
- 24.0 cm ≤ length < 26.0 cm
- 24.5 cm ≤ length < 25.5 cm (correct)
- 24.5 cm < length ≤ 25.5 cm
- 24.0 cm < length < 26.0 cm
In the diagram with two straight lines crossing a pair of parallel lines, which of the following statements are both correct regarding angle a?
In the diagram with two straight lines crossing a pair of parallel lines, which of the following statements are both correct regarding angle a?
- Angle *a* is corresponding to angle *b*, and angle *a* is vertically opposite to angle *e*.
- Angle *a* is equal to angle *d*, and angle *a* is vertically opposite to angle *e*. (correct)
- Angle *a* is corresponding to angle *b*, and angle *a* is alternate to angle *c*.
- Angle *a* is alternate to angle *c*, and angle *a* is equal to angle *d*.
What is the measure of each interior angle in a regular pentagon?
What is the measure of each interior angle in a regular pentagon?
A prism has a regular pentagon as its cross-section. How many planes of symmetry does this prism have?
A prism has a regular pentagon as its cross-section. How many planes of symmetry does this prism have?
A cylinder has a radius of 7 cm and a height of 15 cm. What is the volume of the cylinder?
A cylinder has a radius of 7 cm and a height of 15 cm. What is the volume of the cylinder?
Given the equation $y = x^2 - 4$, what are the y-values when $x = -2$ and $x = 2$?
Given the equation $y = x^2 - 4$, what are the y-values when $x = -2$ and $x = 2$?
In a set of temperature data from 20 cities, the median temperature falls within a certain range. Which statement correctly describes the median temperature?
In a set of temperature data from 20 cities, the median temperature falls within a certain range. Which statement correctly describes the median temperature?
What is the greatest possible range of temperatures, given the intervals, $6 \le t < 8$, $8 \le t < 10$, $10 \le t < 12$, $12 \le t < 14$, and $14 \le t < 16$?
What is the greatest possible range of temperatures, given the intervals, $6 \le t < 8$, $8 \le t < 10$, $10 \le t < 12$, $12 \le t < 14$, and $14 \le t < 16$?
Two lines have equations $y = 2x + 1$ and $y = 6x + 1$. Besides both being straight lines and having a positive gradient, what other property do they share?
Two lines have equations $y = 2x + 1$ and $y = 6x + 1$. Besides both being straight lines and having a positive gradient, what other property do they share?
Shape Q is an enlargement of shape P. What transformation fully describes this?
Shape Q is an enlargement of shape P. What transformation fully describes this?
What information do you need to describe an enlargement fully?
What information do you need to describe an enlargement fully?
A semi-circle has a radius of 12.3 cm. Which calculation gives the perimeter of the semi-circle?
A semi-circle has a radius of 12.3 cm. Which calculation gives the perimeter of the semi-circle?
It takes 5 workers 300 minutes to decorate some cakes. How long would it take 12 workers to decorate the same number of cakes, assuming they work at the same rate?
It takes 5 workers 300 minutes to decorate some cakes. How long would it take 12 workers to decorate the same number of cakes, assuming they work at the same rate?
Laptop A costs $650 and its price increases by 12%. Laptop B costs $760 and its price decreases by 5%. After these changes, which laptop is more expensive?
Laptop A costs $650 and its price increases by 12%. Laptop B costs $760 and its price decreases by 5%. After these changes, which laptop is more expensive?
The (n)th term of a sequence is (n^2 + a). If the 6th term of the sequence is 29, what is the sum of the first 4 terms?
The (n)th term of a sequence is (n^2 + a). If the 6th term of the sequence is 29, what is the sum of the first 4 terms?
Make $t$ the subject of the formula: $w = \frac{2t}{5} - 1$.
Make $t$ the subject of the formula: $w = \frac{2t}{5} - 1$.
Rajiv sells balloons that are colored red, green, blue, or yellow. 25% are red. The probability of getting green is 0.05. The probability of blue is twice the probability of green. What is the probability of getting a yellow balloon?
Rajiv sells balloons that are colored red, green, blue, or yellow. 25% are red. The probability of getting green is 0.05. The probability of blue is twice the probability of green. What is the probability of getting a yellow balloon?
Bag A contains 56 counters shared between Angelique and Hassan in the ratio 3:5. Bag B contains counters shared between Angelique and Hassan in the ratio 4:3. If Angelique receives 45 counters in total, how many counters are in Bag B?
Bag A contains 56 counters shared between Angelique and Hassan in the ratio 3:5. Bag B contains counters shared between Angelique and Hassan in the ratio 4:3. If Angelique receives 45 counters in total, how many counters are in Bag B?
A music teacher, Gabriella, wants to know if children in her school like music. She surveys students in the school orchestra. Why is this data likely to be biased?
A music teacher, Gabriella, wants to know if children in her school like music. She surveys students in the school orchestra. Why is this data likely to be biased?
Flashcards
What does Simplify mean?
What does Simplify mean?
To make something simpler or easier to understand
Order of operations in expressions.
Order of operations in expressions.
The operation performed first is squaring (x-2)². Solve inside the parentheses first, then apply the exponent.
What is the lower limit?
What is the lower limit?
The smallest possible value a measurement could be, given its level of precision.
What is the Upper Limit?
What is the Upper Limit?
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What are Corresponding Angles?
What are Corresponding Angles?
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What are Alternate Angles?
What are Alternate Angles?
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What are Vertically Opposite Angles?
What are Vertically Opposite Angles?
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What is the Radius?
What is the Radius?
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What is volume?
What is volume?
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What is a line of symmetry?
What is a line of symmetry?
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What is a Graph?
What is a Graph?
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What is the Median?
What is the Median?
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What is the Range?
What is the Range?
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What is gradient?
What is gradient?
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What is Enlargement?
What is Enlargement?
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What is work rate?
What is work rate?
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What is a Kite?
What is a Kite?
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What is Probability?
What is Probability?
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What is the Mean?
What is the Mean?
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What is Bias?
What is Bias?
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Study Notes
- This is a Mathematics Paper 2 for Stage 9 students, designed for use with the curriculum published in September 2020.
- The test duration is 1 hour and the total mark for the paper is 50.
- Students are allowed to use a calculator, geometrical instruments, and tracing paper (optional).
Question 1: Simplifying Expressions
- Simplify x⁴ × x⁵ to x⁹ by adding the exponents.
Question 2: Order of Operations
- Given the expression 3(x − 2)² / 5, the first operation performed when substituting a value for x is subtracting 2.
Question 3: Rounding and Limits
- For a book length of 25 cm to the nearest centimetre, the lower limit is 24.5 cm and the upper limit is 25.5 cm.
Question 4: Angles and Parallel Lines
- In a diagram with two straight lines crossing a pair of parallel lines:
- Angle a is corresponding to angle b.
- Angle a is vertically opposite to angle e.
Question 5: Regular Pentagon
- Each interior angle in a regular pentagon measures 108°.
- A prism with a regular pentagon cross-section has 5 planes of symmetry.
Question 6: Cylinder Volume
- Volume of a cylinder is calculated using the formula πr²h where r is radius and h is height.
- A cylinder with a radius of 7 cm and a height of 15 cm has a volume that is approximately 2310 cm³.
Question 7: Quadratic Equation and Graph
- In the equation y = x² – 4:
- When x = -3, y = 5.
- When x = -1, y = -3.
- A graph of y = x² – 4 (for x values between –3 and 3) is a parabola with the vertex at (0, -4).
Question 8: Frequency Polygon and Median
- Temperature and Frequency Data
- Shows distribution of temperatures in 20 cities
- To complete frequency polygon plot points using midpoint of temperature range and frequency
- Median temperature interval requires arranging frequencies to find middle position.
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