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Questions and Answers
Which of the following statements best describes the purpose of including blank pages within a document, as suggested by the provided text?
Which of the following statements best describes the purpose of including blank pages within a document, as suggested by the provided text?
- To ensure that the document meets specific printing or binding requirements.
- To prevent the disclosure of answer-related information to candidates. (correct)
- To provide space for the inclusion of additional content at a later time.
- To increase the overall page count of the document for aesthetic purposes.
The document explicitly states that all copyright clearances for third-party materials were successfully obtained without any issues.
The document explicitly states that all copyright clearances for third-party materials were successfully obtained without any issues.
False (B)
According to the provided text, what is the primary goal of reproducing copyright acknowledgements online in a separate booklet?
According to the provided text, what is the primary goal of reproducing copyright acknowledgements online in a separate booklet?
To avoid disclosure of answer-related information to candidates.
Cambridge Assessment International Education is a part of Cambridge ______.
Cambridge Assessment International Education is a part of Cambridge ______.
Match the organization with its role as described in the text:
Match the organization with its role as described in the text:
If the number of weeks in a year is approximately 52, and each month has an average of 30.4 days, calculate the difference between estimating the number of months in 5 years by dividing the total number of weeks by 4 versus multiplying 5 by 12 (direct calculation).
If the number of weeks in a year is approximately 52, and each month has an average of 30.4 days, calculate the difference between estimating the number of months in 5 years by dividing the total number of weeks by 4 versus multiplying 5 by 12 (direct calculation).
Which of the following statements is true regarding the approximation of numbers to the nearest 10 and 100?
Which of the following statements is true regarding the approximation of numbers to the nearest 10 and 100?
Using single-digit numbers, what is the closest estimate to the value of $\frac{6.7 \times 2.1}{18 - 5.9}$ when each number in the calculation is rounded to 1 significant figure?
Using single-digit numbers, what is the closest estimate to the value of $\frac{6.7 \times 2.1}{18 - 5.9}$ when each number in the calculation is rounded to 1 significant figure?
If Rosina has $D$ dollars and magazines cost $C$ dollars each, Rosina can buy ________ magazines and will have $(D - nC)$ dollars left, where $n$ is the maximum integer such that $nC \le D$.
If Rosina has $D$ dollars and magazines cost $C$ dollars each, Rosina can buy ________ magazines and will have $(D - nC)$ dollars left, where $n$ is the maximum integer such that $nC \le D$.
Suppose the probability Eric uses red or yellow paint is equal to the probability he uses blue paint. If the probability he uses red paint is 0.3, what is the probability, x, that he uses yellow paint?
Suppose the probability Eric uses red or yellow paint is equal to the probability he uses blue paint. If the probability he uses red paint is 0.3, what is the probability, x, that he uses yellow paint?
A rhombus always possesses rotational symmetry of order 2 and has no lines of symmetry.
A rhombus always possesses rotational symmetry of order 2 and has no lines of symmetry.
Given a set of numbers, if a single number is significantly increased, which of the following measures will be most affected?
Given a set of numbers, if a single number is significantly increased, which of the following measures will be most affected?
When $8x^2 - 20x$ is completely factorised, the result is ____.
When $8x^2 - 20x$ is completely factorised, the result is ____.
Given the numbers 2a+1, a+8, a+15, 4a+32, 3, 2a+29, a+19, 6a+45, a+8, determine the value of 'a' if the mean of the number is 17.
Given the numbers 2a+1, a+8, a+15, 4a+32, 3, 2a+29, a+19, 6a+45, a+8, determine the value of 'a' if the mean of the number is 17.
Given the $n$th term of a sequence is $10 - n^2$, what is the sum of the first three terms of this sequence?
Given the $n$th term of a sequence is $10 - n^2$, what is the sum of the first three terms of this sequence?
The length, $l$ meters, of a piece of wood is 3.6 meters, correct to the nearest 10 centimetres. What is the upper bound of $l$?
The length, $l$ meters, of a piece of wood is 3.6 meters, correct to the nearest 10 centimetres. What is the upper bound of $l$?
The interquartile range is significantly affected by outliers in a data set.
The interquartile range is significantly affected by outliers in a data set.
Match the statistical measure with its corresponding characteristic:
Match the statistical measure with its corresponding characteristic:
Express $1 \div (6.4 \times 10^{-5})$ in standard form.
Express $1 \div (6.4 \times 10^{-5})$ in standard form.
Evaluate $2 \frac{1}{7} \div \frac{5}{9}$ without a calculator, giving your answer as a mixed number in its simplest form.
Evaluate $2 \frac{1}{7} \div \frac{5}{9}$ without a calculator, giving your answer as a mixed number in its simplest form.
In a right-angled triangle where one angle is $4x$ degrees and another is $(3x - 1)$ degrees, find the value of $x$.
In a right-angled triangle where one angle is $4x$ degrees and another is $(3x - 1)$ degrees, find the value of $x$.
A train journey starts at 21:43 and takes 8 hours and 32 minutes. At what time does the journey finish?
A train journey starts at 21:43 and takes 8 hours and 32 minutes. At what time does the journey finish?
Which of the following lists the numbers 0.071, 0.7, and 7% in ascending order?
Which of the following lists the numbers 0.071, 0.7, and 7% in ascending order?
What is the simplest form of the fraction $\frac{24}{84}$?
What is the simplest form of the fraction $\frac{24}{84}$?
Simplify the following expression: 3a - 5b - a - 6b
Simplify the following expression: 3a - 5b - a - 6b
The cost of hiring a bicycle, $C$, for $y$ hours is given by the formula $C = 12 + 3.5y$. Maria pays $36.50 to hire this bicycle. Work out the number of hours she hires the bicycle for.
The cost of hiring a bicycle, $C$, for $y$ hours is given by the formula $C = 12 + 3.5y$. Maria pays $36.50 to hire this bicycle. Work out the number of hours she hires the bicycle for.
Given $a = \begin{pmatrix} 3 \ 7 \end{pmatrix}$ and $b = \begin{pmatrix} -2 \ 5 \end{pmatrix}$, work out $a - 2b$. Write your answer as a column vector.
Given $a = \begin{pmatrix} 3 \ 7 \end{pmatrix}$ and $b = \begin{pmatrix} -2 \ 5 \end{pmatrix}$, work out $a - 2b$. Write your answer as a column vector.
In the diagram with parallel lines and a transversal, the value of $x$ is 52 because it forms ______ angles with the given angle.
In the diagram with parallel lines and a transversal, the value of $x$ is 52 because it forms ______ angles with the given angle.
In the diagram with angles $38^\circ$, $126^\circ$, and $y^\circ$ on a straight line, find the value of $y$ and state the geometrical reason for your answer.
In the diagram with angles $38^\circ$, $126^\circ$, and $y^\circ$ on a straight line, find the value of $y$ and state the geometrical reason for your answer.
Using the diagram with a line of 7.5 cm and another of 12.8cm forming a right-angled triangle, write and solve an equation to calculate the value of $x$, where $x$ is the length of hypotenuse. Round to 2 decimal places.
Using the diagram with a line of 7.5 cm and another of 12.8cm forming a right-angled triangle, write and solve an equation to calculate the value of $x$, where $x$ is the length of hypotenuse. Round to 2 decimal places.
In a right-angled triangle, one angle is labeled $y$ and the other two sides are given as 7.5 cm and 12.8 cm. Calculate the value of $y$ to two decimal places.
In a right-angled triangle, one angle is labeled $y$ and the other two sides are given as 7.5 cm and 12.8 cm. Calculate the value of $y$ to two decimal places.
Triangle ABC is similar to triangle DEF. Side AB is 5.6 cm, side BC is 7.2 cm, and side EF is 8.1 cm. Calculate the length of side DE, which is represented by $h$. Round to two decimal places.
Triangle ABC is similar to triangle DEF. Side AB is 5.6 cm, side BC is 7.2 cm, and side EF is 8.1 cm. Calculate the length of side DE, which is represented by $h$. Round to two decimal places.
Given the universal set = {a, b, c, d, e, f, g, h, i, j, k}, set F = {f, a, c, e}, and set B = {b, a, c, k}, which elements would be placed outside both circles F and B in a Venn diagram?
Given the universal set = {a, b, c, d, e, f, g, h, i, j, k}, set F = {f, a, c, e}, and set B = {b, a, c, k}, which elements would be placed outside both circles F and B in a Venn diagram?
Given the sets F = {f, a, c, e} and B = {b, a, c, k}, what is the value of n(F B)?
Given the sets F = {f, a, c, e} and B = {b, a, c, k}, what is the value of n(F B)?
At a cinema, an adult ticket costs $a and a child ticket costs $c. Farah buys 3 adult tickets and 4 child tickets for $38.50. The completed equation is 3a + 4c = ______
At a cinema, an adult ticket costs $a and a child ticket costs $c. Farah buys 3 adult tickets and 4 child tickets for $38.50. The completed equation is 3a + 4c = ______
Hana buys 6 adult tickets and 5 child tickets for $65. Write down an equation in terms of $a$ and $c$ representing this scenario.
Hana buys 6 adult tickets and 5 child tickets for $65. Write down an equation in terms of $a$ and $c$ representing this scenario.
Given the following system of equations: $3a + 4c = 38.50$ and $6a + 5c = 65$. Solve the system of equations to find the values of $a$ and $c$.
Given the following system of equations: $3a + 4c = 38.50$ and $6a + 5c = 65$. Solve the system of equations to find the values of $a$ and $c$.
Flashcards
What is a month?
What is a month?
A unit of time equal to approximately 30 days.
What is rounding?
What is rounding?
Approximating a number to a specified place value.
What is rounding to the nearest 10?
What is rounding to the nearest 10?
Rounding to the nearest 10 means finding the multiple of 10 closest to the number.
What is rounding to the nearest 100?
What is rounding to the nearest 100?
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What is money left over?
What is money left over?
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What is a parallelogram?
What is a parallelogram?
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What is the mean?
What is the mean?
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How to calculate the mean?
How to calculate the mean?
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Calculating End Time
Calculating End Time
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Simplest Form of a Fraction
Simplest Form of a Fraction
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Simplifying Algebraic Expressions
Simplifying Algebraic Expressions
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Solving Equations
Solving Equations
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Evaluating Expressions with Fractions
Evaluating Expressions with Fractions
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Corresponding Angles
Corresponding Angles
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Angles on a Straight Line
Angles on a Straight Line
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Converting fraction to percentage
Converting fraction to percentage
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Third-party Material?
Third-party Material?
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Copyright Holder Search?
Copyright Holder Search?
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Copyright Issues?
Copyright Issues?
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Copyright Acknowledgements Booklet?
Copyright Acknowledgements Booklet?
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UCLES?
UCLES?
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Volume of a Sphere
Volume of a Sphere
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Estimate Calculation
Estimate Calculation
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Finding Missing Probability
Finding Missing Probability
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Factorising Completely
Factorising Completely
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Finding Terms of Sequence
Finding Terms of Sequence
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nth Term Expression
nth Term Expression
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Limits of Accuracy
Limits of Accuracy
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Standard Form
Standard Form
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What is a proportion?
What is a proportion?
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What is the side ratio in similar triangles?
What is the side ratio in similar triangles?
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What is a Venn diagram?
What is a Venn diagram?
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What does n(A) represent?
What does n(A) represent?
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What is an intersection?
What is an intersection?
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What is an equation?
What is an equation?
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What are simultaneous equations?
What are simultaneous equations?
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What does it mean to solve simultaneous equations?
What does it mean to solve simultaneous equations?
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Study Notes
- There are 12 months in a year, and to calculate the number of months in 5 years multiply 5 by 12.
- To write 3752 correct to the nearest 10, round to 3750.
- To write 3752 correct to the nearest 100, round to 3800.
- Magazines cost $3.40 each and Rosina has $15, therefore Rosina can buy 4 magazines and will have $1.40.
- The mathematical name of a 4-sided shape that has rotational symmetry of order 2 and no lines of symmetry is a parallelogram.
- To find the mean of the numbers 21, 8, 15, 32, 3, 29, 19, 45, 8 add them together and divide by the total number of numbers, 9, giving a mean of 20. The total sum of the numbers is 180, 180/9 = 20.
- A train journey starts at 2143 and takes 8 hours and 32 minutes therefore the train journey finishes at 0615.
- To write the numbers 15/213, 0.071, 0.7, 7%, in order, starting with the smallest, convert them all to decimals = 0.0704, 0.071, 0.7, 0.07 Therefore 15/213 < 7% < 0.071 < 0.7
- To write the fraction 24/84 in its simplest form, divide both the numerator and the denominator by the highest common factor, which is 12, which gives 2/7.
- To simplify 3a-5b-a-6b combine like terms simplifies to 2a - 11b.
- The cost of hiring a bicycle $C, for y hours is given by the formula C = 12 + 3.5y. Maria pays $36.50 to hire this bicycle so input the values into the formula 36.50 = 12 + 3.5y and solve for hours. Hours equals 7 hours.
- A = (7, 3) and b = (-2, 5) so to work out a - 2b, calculate 2b = (-4, 10) and a-2b = (7 - (-4), 3-10) = (11, -7).
- Write down the geometrical reason why the value of x is 52. Corresponding angles are equal.
- Working out the value of y and provide the geometrical reason for your answer. y=38 because angles at a point equal 360.
- Calculating the volume of a sphere with diameter 4.8cm with the formula 4/3πr3. If diameter = 4.8 therefore radius is 2.4. Input this into the formula to calculate the volume = 57.9cm3.
- By writing each number in the calculation correct to 1 significant figure, work out an estimate for the value of (6.7 x 2.1) / (18 – 5.9) = (7 x 2) / (20-6) = 14/14 = 1.
- Eric has four colors of paint represented in a table, Red, Blue, Green, Yellow with probabilities 0.3, 0.35, 0.13, x. To find the value of x we know probabilities add up to 1. Therefore x = 1- (0.3 + 0.35 + 0.13) = 0.22.
- To factorize completely the following equation 8x²-20x, find the greatest common factor: 4x(2x-5).
- The nth term of a sequence is 10-n². Input n=1, n=2, n=3 to find the first three terms of the sequence. 9, 6,1.
- For the sequence 7, 10, 13, 16, find an expression for the nth term of this sequence: nth term = 3n+4.
- The length, l metres, of a piece of wood is 3.6 metres, correct to the nearest 10 centimetres and complete this statement about the value of l: 3.55 < l < 3.65.
- Calculate 1 ÷ (6.4×10⁻⁵): = 1.5625 x 104
- Without using a calculator, work out 2 5/6 ÷ ½ = 17/6 x 9/5 = 51/10 = 5 1/10
- The diagram shows a right-angled triangle. Use the information in the diagram to write down and solve an equation to find the value of x. 3x-1 + 4x + 90 = 180, 7x + 89 = 180, 7x = 91 x=13
- In a right angled triangle calculate the value of y. tan(y) = 7.5/12.8, y = tan-1 (7.5/12.8), therefore, y = 30.3 degrees.
- Triangle ABC is similar to triangle DEF. Calculate the value of h. Set up a proportion, 5.6/7.2 = h/8.1, 5.6 x 8.1 = 7.2h = 45.36 = 7.2h, therefore h = 6.3cm.
- ξ = {a, b, c, d, e, f, g, h, i, j, k}, F = {f, a, c, e}, B = {b, a, c, k}. Complete the Venn diagram, the intersection between F and B is {a,c} , therefore F contains {f,e} and B contains {b,k} and the universal set has remaining numbers not in F or B = {d,g,h,i,j}
- If F = {f, a, c, e}, and B = {b, a, c, k} then n(F∪B) which is the number of elements in F union B is 6.
- Farah buys 3 adult tickets and 4 child tickets for $38.50 therefore 3a + 4c = 38.50.
- Hana buys 6 adult tickets and 5 child tickets for $65.00, therefore 6a + 5c = 65.
- Solve the two simultaneous equations 3a + 4c = 38.50 and 6a + 5c = 65 to find the value of a and the value of c. Multiply the top equation by -2, to eliminate a, -6a -8c = -77, 6a + 5c = 65. Which gets -3c = -12, c = 4. Input to find a. 3a + 4(4) = 38.5, 3a + 16= 38.5, 3a = 22.5, a = 7.5. Therefore, an adult ticket is $7.50 and a child ticket is $4.00.
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