Questions S1 - A-Level Maths

Time (t hours)	Frequency (f)	Time midpoint (m)
$0 \leqslant t < 1$	10	0.5
$1 \leqslant t < 2$	18	1.5
$2 \leqslant t < 4$	15	3
$4 \leqslant t < 6$	12	5
$6 \leqslant t < 12$	5	9

$$\text { (You may use } \sum \mathrm { fm } = 182 \text { and } \sum \mathrm { fm } ^ { 2 } = 883 \text { ) }$$ A histogram is drawn to represent these data.
The bar representing the time $1 \leqslant t < 2$ has a width of 1.5 cm and a height of 6 cm .

Calculate the width and the height of the bar representing the time $4 \leqslant t < 6$
Use linear interpolation to estimate the median parking time for the cars in the car park.
Estimate the mean and the standard deviation of the parking time for the cars in the car park.
Describe, giving a reason, the skewness of the data. One of these cars is selected at random.
Estimate the probability that this car is parked for more than 75 minutes.

Edexcel S1 2018 October Q4

Moderate -0.3

4. Pieces of wood cladding are produced by a timber merchant. There are three types of fault, $A , B$ and $C$, that can appear in each piece of wood cladding. The Venn diagram shows the probabilities of a piece of wood cladding having the various types of fault.
\includegraphics[max width=\textwidth, alt={}, center]{0377c6e9-ab4f-477d-9236-0732fe81f25e-14_602_1120_497_413} A piece of wood cladding is chosen at random.

Find the probability that the piece of wood cladding has more than one type of fault. Fault types $A$ and $C$ occur independently.
Find the probability that the piece of wood cladding has no faults. Given that the piece of wood cladding has fault $A$,
find the probability that it also has fault $B$ but not fault $C$. Two pieces of the wood cladding are selected at random.
Find the probability that both have exactly 2 types of fault.

Edexcel S1 2018 October Q5

Moderate -0.3

The discrete random variable $X$ is defined by the cumulative distribution function

$x$	1	2	3	4	5
$\mathrm {~F} ( x )$	$\frac { 3 k } { 2 }$	$4 k$	$\frac { 15 k } { 2 }$	$12 k$	$\frac { 35 k } { 2 }$

where $k$ is a constant.

Find the probability distribution of $X$.
Find $\mathrm { P } ( 1.5 < X \leqslant 3.5 )$ The random variable $Y = 12 - 7 X$
Calculate Var(Y)
Calculate $\mathrm { P } ( 4 X \leqslant | Y | )$

Edexcel S1 2018 October Q6

Standard +0.3

A machine makes bolts such that the length, $L \mathrm {~cm}$, of a bolt has distribution $L \sim \mathrm {~N} \left( 4.1,0.125 ^ { 2 } \right)$

A bolt is selected at random.

Find the probability that the length of this bolt is more than 4.3 cm .
Show that $\mathrm { P } ( 3.9 < L < 4.3 )$ is 0.890 correct to 3 decimal places. The machine makes 500 bolts.
The cost to make each bolt is 5 pence.
Only bolts with length between 3.9 cm and 4.3 cm can be used. These are sold for 9 pence each. All the bolts that cannot be used are recycled with a scrap value of 1 pence each.
Calculate an estimate for the profit made on these 500 bolts. Following adjustments to the machine, the length of a bolt, $B \mathrm {~cm}$, made by the machine is such that $B \sim \mathrm {~N} \left( \mu , \sigma ^ { 2 } \right)$ Given that $\mathrm { P } ( B > 4.198 ) = 0.025$ and $\mathrm { P } ( B < 4.065 ) = 0.242$
find the value of $\mu$ and the value of $\sigma$
State, giving a reason, whether the adjustments to the machine will result in a decrease or an increase in the profit made on 500 bolts.

Edexcel S1 2022 October Q1

Moderate -0.8

The stem lengths of a sample of 120 tulips are recorded in the grouped frequency table below.

Stem length (cm)	Frequency
$40 \leqslant x < 42$	12
$42 \leqslant x < 45$	18
$45 \leqslant x < 50$	23
$50 \leqslant x < 55$	35
$55 \leqslant x < 58$	24
$58 \leqslant x < 60$	8

A histogram is drawn to represent these data.
The area of the bar representing the $40 \leqslant x < 42$ class is $16.5 \mathrm {~cm} ^ { 2 }$

Calculate the exact area of the bar representing the $42 \leqslant x < 45$ class. The height of the tallest bar in the histogram is 10 cm .
Find the exact height of the second tallest bar.
$Q _ { 1 }$ for these data is 45 cm .
Use linear interpolation to find an estimate for
1. $Q _ { 2 }$
2. the interquartile range. One measure of skewness is given by $$\frac { Q _ { 3 } - 2 Q _ { 2 } + Q _ { 1 } } { Q _ { 3 } - Q _ { 1 } }$$
By calculating this measure, describe the skewness of these data.

Edexcel S1 2022 October Q2

Moderate -0.5

The production cost, $\pounds c$ million, of a film and the total ticket sales, $\pounds t$ million, earned by the film are recorded for a sample of 40 films.

Some summary statistics are given below. $$\sum c = 1634 \quad \sum t = 1361 \quad \sum t ^ { 2 } = 82873 \quad \sum c t = 83634 \quad \mathrm {~S} _ { c c } = 28732.1$$

Find the exact value of $\mathrm { S } _ { t t }$ and the exact value of $\mathrm { S } _ { c t }$
Calculate the value of the product moment correlation coefficient for these data.
Give an interpretation of your answer to part (b)
Show that the equation of the linear regression line of $t$ on $c$ can be written as $$t = - 5.84 + 0.976 c$$ where the values of the intercept and gradient are given to 3 significant figures.
Find the expected total ticket sales for a film with a production cost of $\pounds 90$ million. Using the regression line in part (d)
find the range of values of the production cost of a film for which the total ticket sales are less than $80 \%$ of its production cost.

Edexcel S1 2022 October Q3

Moderate -0.5

Morgan is investigating the body length, $b$ centimetres, of squirrels.

A random sample of 8 squirrels is taken and the data for each squirrel is coded using $$x = \frac { b - 21 } { 2 }$$ The results for the coded data are summarised below $$\sum x = - 1.2 \quad \sum x ^ { 2 } = 5.1$$

Find the mean of $b$
Find the standard deviation of $b$ A 9th squirrel is added to the sample. Given that for all 9 squirrels $\sum x = 0$
find
1. the body length of the 9th squirrel,
2. the standard deviation of $x$ for all 9 squirrels.

Edexcel S1 2022 October Q4

Moderate -0.8

The cumulative distribution function of the discrete random variable $W$, which takes only the values 6,7 and 8 , is given by

$$F ( W ) = \frac { ( w + 3 ) ( w - 1 ) } { 77 } \text { for } w = 6,7,8$$ Find $\mathrm { E } ( W )$

VIAV SIHI NI III IM IONOOC

VIIIV SIHI NI III IM I I N O O

VI4V SIHI NI III IM I ON OC

Edexcel S1 2022 October Q5

Standard +0.3

The weights, $W$ grams, of kiwi fruit grown on a farm are normally distributed with mean 80 grams and standard deviation 8 grams.

The table shows the classifications of the kiwi fruit by their weight, where $k$ is a positive constant.

Small		Large
Tiny	Petite	Extra	Jumbo	Mega
$w < 66$	$66 \leqslant w < 70$	$70 \leqslant w < 80$	$80 \leqslant w < k$	$w \geqslant k$

One kiwi fruit is selected at random from those grown on the farm.

Find the probability that this kiwi fruit is Large. 35\% of the kiwi fruit are Jumbo.
Find the value of $k$ to one decimal place. 75\% of Tiny kiwi fruit weigh more than $y$ grams.
Find the value of $y$ giving your answer to one decimal place.

Edexcel S1 2022 October Q6

Standard +0.3

The Venn diagram shows the events $A , B , C$ and $D$, where $p , q , r$ and $s$ are probabilities.
\includegraphics[max width=\textwidth, alt={}, center]{1fda59cb-059e-4850-810f-cc3e69bc058e-20_504_826_296_621}
1. Write down the value of
  1. $\mathrm { P } ( A )$
  2. $\mathrm { P } ( A \mid B )$
  3. $\mathrm { P } ( A \mid C )$
Given that $\mathrm { P } \left( B ^ { \prime } \cap D ^ { \prime } \right) = \frac { 7 } { 10 }$ and $\mathrm { P } ( C \mid D ) = \frac { 3 } { 5 }$
find the exact value of $q$ and the exact value of $r$ Given also that $\mathrm { P } \left( B \cup C ^ { \prime } \right) = \frac { 5 } { 8 }$
find the exact value of $s$

Edexcel S1 2022 October Q7

Standard +0.3

Adana selects one number at random from the distribution of $X$ which has the following probability distribution.

$x$	0	5	10
$\mathrm { P } ( X = x )$	0.1	0.2	0.7

Given that the number selected by Adana is not 5 , write down the probability it is 0
Show that $\mathrm { E } \left( X ^ { 2 } \right) = 75$
Find $\operatorname { Var } ( X )$
Find $\operatorname { Var } ( 4 - 3 X )$ Bruno and Charlie each independently select one number at random from the distribution of $X$
Find the probability that the number Bruno selects is greater than the number Charlie selects. Devika multiplies Bruno's number by Charlie's number to obtain a product, $D$
Determine the probability distribution of $D$

Edexcel S1 2023 October Q1

Moderate -0.8

Sally plays a game in which she can either win or lose.

A turn consists of up to 3 games. On each turn Sally plays the game up to 3 times. If she wins the first 2 games or loses the first 2 games, then she will not play the 3rd game.

The probability that Sally wins the first game in a turn is 0.7
If Sally wins a game the probability that she wins the next game is 0.6
If Sally loses a game the probability that she wins the next game is 0.2
1. Use this information to complete the tree diagram on page 3
2. Find the probability that Sally wins the first 2 games in a turn.
3. Find the probability that Sally wins exactly 2 games in a turn.

Given that Sally wins 2 games in a turn,

find the probability that she won the first 2 games. Given that Sally won the first game in a turn,

find the probability that she won 2 games. 1st game 2nd game win

Edexcel S1 2023 October Q2

Easy -1.2

The weights, to the nearest kilogram, of a sample of 33 red kangaroos taken in December are summarised in the stem and leaf diagram below.

Weight (kg)		Totals
1	6	(1)
2	36	(2)
3	246	(3)
4	2556678	(7)
5	34777899	(8)
6	022338	(7)
7	28	(2)
8	26	(2)
9	4	(1)

Key: 3 | 2 represents 32 kg

Find
1. the value of the median
2. the value of $Q _ { 1 }$ and the value of $Q _ { 3 }$
  for the weights of these red kangaroos. For these data an outlier is defined as a value that is
  greater than $Q _ { 3 } + 1.5 \times \left( Q _ { 3 } - Q _ { 1 } \right)$
  or smaller than $Q _ { 1 } - 1.5 \times \left( Q _ { 3 } - Q _ { 1 } \right)$
Show that there are 2 outliers for these data. Figure 1 on page 7 shows a box plot for the weights of the same 33 red kangaroos taken in February, earlier in the year.
In the space on Figure 1, draw a box plot to represent the weights of these red kangaroos in December.
Compare the distribution of the weights of red kangaroos taken in February with the distribution of the weights of red kangaroos taken in December of the same year. You should interpret your comparisons in the context of the question.
\includegraphics[max width=\textwidth, alt={}]{f94b29e0-081f-45e8-99a7-ac835eec91e5-07_2267_51_307_36}
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f94b29e0-081f-45e8-99a7-ac835eec91e5-07_766_1803_1777_132} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Turn over for a spare grid if you need to redraw your box plot. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f94b29e0-081f-45e8-99a7-ac835eec91e5-09_901_1833_1653_114} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} \begin{verbatim} (Total for Question 2 is 13 marks) \end{verbatim}

Edexcel S1 2023 October Q3

Easy -1.2

1. Bob shops at a market each week. The event that

Bob buys carrots is denoted by $C$
Bob buys onions is denoted by $O$
At each visit, Bob may buy neither, or one, or both of these items. The probability that Bob buys carrots is 0.65
Bob does not buy onions is 0.3
Bob buys onions but not carrots is 0.15
The Venn diagram below represents the events $C$ and $O$
\includegraphics[max width=\textwidth, alt={}, center]{f94b29e0-081f-45e8-99a7-ac835eec91e5-10_453_851_877_607}
where $w , x , y$ and $z$ are probabilities.

Find the value of $w$, the value of $x$, the value of $y$ and the value of $z$ For one visit to the market,
find the probability that Bob buys either carrots or onions but not both.
Show that the events $C$ and $O$ are not independent.
(ii) $F , G$ and $H$ are 3 events. $F$ and $H$ are mutually exclusive. $F$ and $G$ are independent. Given that $$\mathrm { P } ( F ) = \frac { 2 } { 7 } \quad \mathrm { P } ( H ) = \frac { 1 } { 4 } \quad \mathrm { P } ( F \cup G ) = \frac { 5 } { 8 }$$
find $\operatorname { P } ( F \cup H )$
find $\mathrm { P } ( G )$
find $\operatorname { P } ( F \cap G )$

Edexcel S1 2023 October Q4

Moderate -0.3

The discrete random variable $X$ has the following probability distribution.

$x$	1	2	3	4
$\mathrm { P } ( X = x )$	$\frac { 1 } { 10 }$	$\frac { 1 } { 5 }$	$\frac { 3 } { 10 }$	$\frac { 2 } { 5 }$

Show that $\mathrm { E } \left( \frac { 1 } { X } \right) = \frac { 2 } { 5 }$
Find $\operatorname { Var } \left( \frac { 1 } { X } \right)$ The random variable $Y = \frac { 30 } { X }$
Find
1. $\mathrm { E } ( Y )$
2. $\operatorname { Var } ( Y )$
Find $\mathrm { P } ( X < 3 \mid Y < 20 )$

Edexcel S1 2023 October Q5

Standard +0.3

The weights, $X$ grams, of a particular variety of fruit are normally distributed with

$$X \sim \mathrm {~N} \left( 210,25 ^ { 2 } \right)$$ A fruit of this variety is selected at random.

Show that the probability that the weight of this fruit is less than 240 grams is 0.8849
Find the probability that the weight of this fruit is between 190 grams and 240 grams.
Find the value of $k$ such that $\mathrm { P } ( 210 - k < X < 210 + k ) = 0.95$ A wholesaler buys large numbers of this variety of fruit and classifies the lightest $15 \%$ as small.
Find the maximum weight of a fruit that is classified as small. You must show your working clearly. The weights, $Y$ grams, of a second variety of this fruit are normally distributed with $$Y \sim \mathrm {~N} \left( \mu , \sigma ^ { 2 } \right)$$ Given that $5 \%$ of these fruit weigh less than 152 grams and $40 \%$ weigh more than 180 grams,
calculate the mean and standard deviation of the weights of this variety of fruit.

Edexcel S1 2023 October Q6

Moderate -0.3

The variables $x$ and $y$ have the following regression equations based on the same 12 observations.

\cline { 2 - 2 } \multicolumn{1}{c\|}{}	Regression equation
$y$ on $x$	$y = 1.4 x + 1.5$
$x$ on $y$	$x = 1.2 + 0.2 y$

1. Find the point of intersection of these lines.
2. Hence show that $\sum x = 25$ Given that $$\sum x y = \frac { 6961 } { 60 }$$
Find $S _ { x y }$
Find the product moment correlation coefficient between $x$ and $y$

Edexcel S1 2018 Specimen Q1

Moderate -0.8

The percentage oil content, $p$, and the weight, $w$ milligrams, of each of 10 randomly selected sunflower seeds were recorded. These data are summarised below.

$$\sum w ^ { 2 } = 41252 \quad \sum w p = 27557.8 \quad \sum w = 640 \quad \sum p = 431 \quad \mathrm {~S} _ { p p } = 2.72$$

Find the value of $\mathrm { S } _ { w w }$ and the value of $\mathrm { S } _ { w p }$
Calculate the product moment correlation coefficient between $p$ and $w$
Give an interpretation of your product moment correlation coefficient. The equation of the regression line of $p$ on $w$ is given in the form $p = a + b w$
Find the equation of the regression line of $p$ on $w$
Hence estimate the percentage oil content of a sunflower seed which weighs 60 milligrams.
$\_\_\_\_$ VAYV SIHI NI JIIIM ION OC
VJYV SIHI NI JIIIM ION OC
VJYV SIHI NI JLIYM ION OC

Edexcel S1 2018 Specimen Q2

Moderate -0.8

The time taken to complete a puzzle, in minutes, is recorded for each person in a club. The times are summarised in a grouped frequency distribution and represented by a histogram.

One of the class intervals has a frequency of 20 and is shown by a bar of width 1.5 cm and height 12 cm on the histogram. The total area under the histogram is $94.5 \mathrm {~cm} ^ { 2 }$ Find the number of people in the club.

Edexcel S1 2018 Specimen Q3

Easy -1.2

3. The discrete random variable $X$ has probability distribution $$\mathrm { P } ( X = x ) = \frac { 1 } { 5 } \quad x = 1,2,3,4,5$$

Write down the name given to this distribution. Find
$\mathrm { P } ( X = 4 )$
$\mathrm { F } ( 3 )$
$\mathrm { P } ( 3 X - 3 > X + 4 )$
Write down $\mathrm { E } ( X )$
Find $\mathrm { E } \left( X ^ { 2 } \right)$
Hence find $\operatorname { Var } ( X )$ Given that $\mathrm { E } ( a X - 3 ) = 11.4$
find $\operatorname { Var } ( a X - 3 )$
\includegraphics[max width=\textwidth, alt={}, center]{b7500cc1-caa6-4767-bb2e-e3d70474e805-09_2261_54_312_34} $\_\_\_\_$ VAYV SIHI NI JIIIM ION OC
VJYV SIHI NI JIIIM ION OC
VJYV SIHI NI JLIYM ION OC

Edexcel S1 2018 Specimen Q4

Moderate -0.8

A researcher recorded the time, $t$ minutes, spent using a mobile phone during a particular afternoon, for each child in a club.

The researcher coded the data using $v = \frac { t - 5 } { 10 }$ and the results are summarised in the table below.

Coded Time (v)	Frequency ( $\boldsymbol { f }$ )	Coded Time Midpoint (m)
$0 \leqslant v < 5$	20	2.5
$5 \leqslant v < 10$	24	$a$
$10 \leqslant v < 15$	16	12.5
$15 \leqslant v < 20$	14	17.5
$20 \leqslant v < 30$	6	$b$

$$\text { (You may use } \sum f m = 825 \text { and } \sum f m ^ { 2 } = 12012.5 \text { ) }$$

Write down the value of $a$ and the value of $b$.
Calculate an estimate of the mean of $v$.
Calculate an estimate of the standard deviation of $v$.
Use linear interpolation to estimate the median of $v$.
Hence describe the skewness of the distribution. Give a reason for your answer.
Calculate estimates of the mean and the standard deviation of the time spent using a mobile phone during the afternoon by the children in this club. $\_\_\_\_$ VAYV SIHI NI JIIIM ION OC
VJYV SIHI NI JIIIM ION OC
VJYV SIHI NI JLIYM ION OC

Edexcel S1 2018 Specimen Q5

Moderate -0.3

A biased tetrahedral die has faces numbered $0,1,2$ and 3 . The die is rolled and the number face down on the die, $X$, is recorded. The probability distribution of $X$ is

$x$	0	1	2	3
$\mathrm { P } ( X = x )$	$\frac { 1 } { 6 }$	$\frac { 1 } { 6 }$	$\frac { 1 } { 6 }$	$\frac { 1 } { 2 }$

If $X = 3$ then the final score is 3
If $X \neq 3$ then the die is rolled again and the final score is the sum of the two numbers.
The random variable $T$ is the final score.

Find $\mathrm { P } ( T = 2 )$
Find $\mathrm { P } ( T = 3 )$
Given that the die is rolled twice, find the probability that the final score is 3
$\_\_\_\_$ VAYV SIHI NI JIIIM ION OC
VAYV SIHIL NI JIIIMM ION OC
VJYV SIHI NI JLIYM ION OC

Edexcel S1 2018 Specimen Q6

Moderate -0.3

6. Three events $A , B$ and $C$ are such that $$\mathrm { P } ( A ) = \frac { 2 } { 5 } \quad \mathrm { P } ( C ) = \frac { 1 } { 2 } \quad \mathrm { P } ( A \cup B ) = \frac { 5 } { 8 }$$ Given that $A$ and $C$ are mutually exclusive find

$\mathrm { P } ( A \cup C )$ Given that $A$ and $B$ are independent
show that $\mathrm { P } ( B ) = \frac { 3 } { 8 }$
Find $\mathrm { P } ( A \mid B )$ Given that $\mathrm { P } \left( C ^ { \prime } \cap B ^ { \prime } \right) = 0.3$
draw a Venn diagram to represent the events $A , B$ and $C$
\includegraphics[max width=\textwidth, alt={}, center]{b7500cc1-caa6-4767-bb2e-e3d70474e805-21_2260_53_312_33} $\_\_\_\_$ VAYV SIHI NI JIIIM ION OC
VJYV SIHI NI JIIIM ION OC
VJYV SIHI NI JLIYM ION OC

Edexcel S1 2018 Specimen Q7

Moderate -0.3

A machine fills bottles with water. The volume of water delivered by the machine to a bottle is $X \mathrm { ml }$ where $X \sim \mathrm {~N} \left( \mu , \sigma ^ { 2 } \right)$

One of these bottles of water is selected at random.
Given that $\mu = 503$ and $\sigma = 1.6$

find
1. $\mathrm { P } ( X > 505 )$
2. $\mathrm { P } ( 501 < X < 505 )$
Find $w$ such that $\mathrm { P } ( 1006 - w < X < w ) = 0.9426$ Following adjustments to the machine, the volume of water delivered by the machine to a bottle is such that $\mu = 503$ and $\sigma = q$ Given that $\mathrm { P } ( X < r ) = 0.01$ and $\mathrm { P } ( X > r + 6 ) = 0.05$
find the value of $r$ and the value of $q$
$\_\_\_\_$ VAYV SIHI NI JIIIM ION OC
VJYV SIHI NI JIIIM ION OC
VEYV SIHI NI ELIYM ION OC
VIAV SIHI NI BIIYM ION OO V34V SIHI NI IIIYM ION OO V38V SIHI NI JLIYM ION OC

Edexcel S1 Specimen Q1

Easy -1.2

Gary compared the total attendance, $x$, at home matches and the total number of goals, $y$, scored at home during a season for each of 12 football teams playing in a league. He correctly calculated:

$$S _ { x x } = 1022500 \quad S _ { y y } = 130.9 \quad S _ { x y } = 8825$$

Calculate the product moment correlation coefficient for these data.
Interpret the value of the correlation coefficient. Helen was given the same data to analyse. In view of the large numbers involved she decided to divide the attendance figures by 100 . She then calculated the product moment correlation coefficient between $\frac { x } { 100 }$ and $y$.
Write down the value Helen should have obtained.

\(x\)	1	2	3	4	5
\(\mathrm {~F} ( x )\)	\(\frac { 3 k } { 2 }\)	\(4 k\)	\(\frac { 15 k } { 2 }\)	\(12 k\)	\(\frac { 35 k } { 2 }\)

\(x\)	1	2	3	4
\(\mathrm { P } ( X = x )\)	\(\frac { 1 } { 10 }\)	\(\frac { 1 } { 5 }\)	\(\frac { 3 } { 10 }\)	\(\frac { 2 } { 5 }\)

\cline { 2 - 2 } \multicolumn{1}{c\|}{}	Regression equation
\(y\) on \(x\)	\(y = 1.4 x + 1.5\)
\(x\) on \(y\)	\(x = 1.2 + 0.2 y\)

\(x\)	0	1	2	3
\(\mathrm { P } ( X = x )\)	\(\frac { 1 } { 6 }\)	\(\frac { 1 } { 6 }\)	\(\frac { 1 } { 6 }\)	\(\frac { 1 } { 2 }\)

Stem length (cm)	Frequency
\(40 \leqslant x < 42\)	12
\(42 \leqslant x < 45\)	18
\(45 \leqslant x < 50\)	23
\(50 \leqslant x < 55\)	35
\(55 \leqslant x < 58\)	24
\(58 \leqslant x < 60\)	8

Coded Time (v)	Frequency ( \(\boldsymbol { f }\) )	Coded Time Midpoint (m)
\(0 \leqslant v < 5\)	20	2.5
\(5 \leqslant v < 10\)	24	\(a\)
\(10 \leqslant v < 15\)	16	12.5
\(15 \leqslant v < 20\)	14	17.5
\(20 \leqslant v < 30\)	6	\(b\)

Questions S1 (1967 questions)

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Edexcel S1 2018 October Q3

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Edexcel S1 2018 Specimen Q1

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Edexcel S1 Specimen Q1