Questions - AQA S1 - A-Level Maths

$\boldsymbol { x }$	9	3	4	10	8	12	7	11	2	6
$\boldsymbol { y }$	11	6	5	11	9	13	9	12	4	7

Calculate the equation of the least squares regression line of $y$ on $x$ in the form $y = a + b x$.
Give an interpretation, in context, for each of your values of $a$ and $b$.
Use your regression equation to estimate Alex's waiting time when the number of customers already seated in the restaurant is:
1. 5 ;
2. 25 .
Comment on the likely reliability of each of your estimates in part (c), given that, for the regression line calculated in part (a), the values of the 10 residuals lie between + 1.1 minutes and - 1.1 minutes.

AQA S1 2006 January Q2

2 Xavier, Yuri and Zara attend a sports centre for their judo club's practice sessions. The probabilities of them arriving late are, independently, $0.3,0.4$ and 0.2 respectively.

Calculate the probability that for a particular practice session:
1. all three arrive late;
2. none of the three arrives late;
3. only Zara arrives late.
Zara's friend, Wei, also attends the club's practice sessions. The probability that Wei arrives late is 0.9 when Zara arrives late, and is 0.25 when Zara does not arrive late. Calculate the probability that for a particular practice session:
1. both Zara and Wei arrive late;
2. either Zara or Wei, but not both, arrives late.

AQA S1 2006 January Q3

3 When an alarm is raised at a market town's fire station, the fire engine cannot leave until at least five fire-fighters arrive at the station. The call-out time, $X$ minutes, is the time between an alarm being raised and the fire engine leaving the station. The value of $X$ was recorded on a random sample of 50 occasions. The results are summarised below, where $\bar { x }$ denotes the sample mean. $$\sum x = 286.5 \quad \sum ( x - \bar { x } ) ^ { 2 } = 45.16$$

Find values for the mean and standard deviation of this sample of 50 call-out times.
Hence construct a $99 \%$ confidence interval for the mean call-out time.
The fire and rescue service claims that the station's mean call-out time is less than 5 minutes, whereas a parish councillor suggests that it is more than $6 \frac { 1 } { 2 }$ minutes. Comment on each of these claims.

AQA S1 2006 January Q4

4 The time, $x$ seconds, spent by each of a random sample of 100 customers at an automatic teller machine (ATM) is recorded. The times are summarised in the table.

Time (seconds)	Number of customers
$20 < x \leqslant 30$	2
$30 < x \leqslant 40$	7
$40 < x \leqslant 60$	18
$60 < x \leqslant 80$	27
$80 < x \leqslant 100$	23
$100 < x \leqslant 120$	13
$120 < x \leqslant 150$	7
$150 < x \leqslant 180$	3
Total	100

Calculate estimates for the mean and standard deviation of the time spent at the ATM by a customer.
The mean time spent at the ATM by a random sample of $\mathbf { 3 6 }$ customers is denoted by $\bar { Y }$.
1. State why the distribution of $\bar { Y }$ is approximately normal.
2. Write down estimated values for the mean and standard error of $\bar { Y }$.
3. Hence estimate the probability that $\bar { Y }$ is less than $1 \frac { 1 } { 2 }$ minutes.

AQA S1 2006 January Q5

5 [Figure 1, printed on the insert, is provided for use in this question.]
The table shows the times, in seconds, taken by a random sample of 10 boys from a junior swimming club to swim 50 metres freestyle and 50 metres backstroke.

Boy	A	B	C	D	E	F	G	H	I	J
Freestyle ( $\boldsymbol { x }$ seconds)	30.2	32.8	25.1	31.8	31.2	35.6	32.4	38.0	36.1	34.1
Backstroke ( $y$ seconds)	33.5	35.4	37.4	27.2	34.7	38.2	37.7	41.4	42.3	38.4

On Figure 1, complete the scatter diagram for these data.
Hence:
1. give two distinct comments on what your scatter diagram reveals;
2. state, without calculation, which of the following 3 values is most likely to be the value of the product moment correlation coefficient for the data in your scatter diagram. $$0.912 \quad 0.088 \quad 0.462$$
In the sample of 10 boys, one boy is a junior-champion freestyle swimmer and one boy is a junior-champion backstroke swimmer. Identify the two most likely boys.
Removing the data for the two boys whom you identified in part (c):
1. calculate the value of the product moment correlation coefficient for the remaining 8 pairs of values of $x$ and $y$;
2. comment, in context, on the value that you obtain.

AQA S1 2006 January Q6

6 Plastic clothes pegs are made in various colours.
The number of red pegs may be modelled by a binomial distribution with parameter $p$ equal to 0.2 . The contents of packets of 50 pegs of mixed colours may be considered to be random samples.

Determine the probability that a packet contains:
1. less than or equal to 15 red pegs;
2. exactly 10 red pegs;
3. more than 5 but fewer than 15 red pegs.
Sly, a student, claims to have counted the number of red pegs in each of 100 packets of 50 pegs. From his results the following values are calculated. Mean number of red pegs per packet $= 10.5$
Variance of number of red pegs per packet $= 20.41$
Comment on the validity of Sly's claim.

AQA S1 2006 January Q7

The weight, $X$ grams, of soup in a carton may be modelled by a normal random variable with mean 406 and standard deviation 4.2. Find the probability that the weight of soup in a carton:
1. is less than 400 grams;
2. is between 402.5 grams and 407.5 grams.
The weight, $Y$ grams, of chopped tomatoes in a tin is a normal random variable with mean $\mu$ and standard deviation $\sigma$.
1. Given that $\mathrm { P } ( Y < 310 ) = 0.975$, explain why: $$310 - \mu = 1.96 \sigma$$
2. Given that $\mathrm { P } ( Y < 307.5 ) = 0.86$, find, to two decimal places, values for $\mu$ and $\sigma$.
  (4 marks)

AQA S1 2008 January Q1

1 In large-scale tree-felling operations, a machine cuts down trees, strips off the branches and then cuts the trunks into logs of length $X$ metres for transporting to a sawmill. It may be assumed that values of $X$ are normally distributed with mean $\mu$ and standard deviation 0.16 , where $\mu$ can be set to a specific value.

Given that $\mu$ is set to 3.3 , determine:
1. $\mathrm { P } ( X < 3.5 )$;
2. $\mathrm { P } ( X > 3.0 )$;
3. $\mathrm { P } ( 3.0 < X < 3.5 )$.
The sawmill now requires a batch of logs such that there is a probability of 0.025 that any given log will have a length less than 3.1 metres. Determine, to two decimal places, the new value of $\mu$.

AQA S1 2008 January Q2

2 The head and body length, $x$ millimetres, and tail length, $y$ millimetres, of each of a sample of 20 adult dormice were measured. The following statistics are derived from the results. $$S _ { x x } = 1280.55 \quad S _ { y y } = 281.8 \quad S _ { x y } = 416.3$$

Calculate the value of the product moment correlation coefficient between $x$ and $y$.
Interpret your value in the context of this question.
Write down the value of the product moment correlation coefficient if the measurements had been recorded in centimetres.
Give a reason why it is not generally advisable to calculate the value of the product moment correlation coefficient without first viewing a scatter diagram of the data. Illustrate your answer with a sketch.

AQA S1 2008 January Q3

3 The height, in metres, of adult male African elephants may be assumed to be normally distributed with mean $\mu$ and standard deviation 0.20 . The heights of a sample of 12 such elephants were measured with the following results, in metres. $$\begin{array} { l l l l l l l l l l l l } 3.37 & 3.45 & 2.93 & 3.42 & 3.49 & 3.67 & 2.96 & 3.57 & 3.36 & 2.89 & 3.22 & 2.91 \end{array}$$

Stating a necessary assumption, construct a $98 \%$ confidence interval for $\mu$. (6 marks)
The mean height of adult male Asian elephants is known to be 2.90 metres. Using your confidence interval, state, with a reason, what can be concluded about the mean heights of adult males in these two types of elephant.

AQA S1 2008 January Q4

4 [Figure 1, printed on the insert, is provided for use in this question.]
Roseen is a self-employed decorator who wishes to estimate the times that it will take her to decorate bedrooms based upon their floor areas. She records the floor area, $x \mathrm {~m} ^ { 2 }$, and the decorating time, $y$ hours, for each of 10 bedrooms she has recently decorated.

$\boldsymbol { x }$	11.0	22.0	7.5	21.0	13.0	16.5	14.0	16.0	18.5	20.5
$\boldsymbol { y }$	15.0	35.0	16.0	23.5	24.0	17.5	14.5	27.5	22.5	34.5

On Figure 1, plot a scatter diagram of these data.
Calculate the equation of the least squares regression line of $y$ on $x$.
Draw your regression line on Figure 1.
1. Use your regression equation to estimate the time that Roseen will take to decorate a bedroom with a floor area of $15 \mathrm {~m} ^ { 2 }$.
2. Making reference to Figure 1, comment on the likely reliability of your estimate in part (d)(i).

AQA S1 2008 January Q5

5 A health club has a number of facilities which include a gym and a sauna. Andrew and his wife, Heidi, visit the health club together on Tuesday evenings. On any visit, Andrew uses either the gym or the sauna or both, but no other facilities. The probability that he uses the gym, $\mathrm { P } ( G )$, is 0.70 . The probability that he uses the sauna, $\mathrm { P } ( S )$, is 0.55 . The probability that he uses both the gym and the sauna is 0.25 .

Calculate the probability that, on a particular visit:
1. he does not use the gym;
2. he uses the gym but not the sauna;
3. he uses either the gym or the sauna but not both.
Assuming that Andrew's decision on what facility to use is independent from visit to visit, calculate the probability that, during a month in which there are exactly four Tuesdays, he does not use the gym.
The probability that Heidi uses the gym when Andrew uses the gym is 0.6 , but is only 0.1 when he does not use the gym. Calculate the probability that, on a particular visit, Heidi uses the gym.
On any visit, Heidi uses exactly one of the club's facilities. The probability that she uses the sauna is 0.35 .
Calculate the probability that, on a particular visit, she uses a facility other than the gym or the sauna.

AQA S1 2008 January Q6

6 For each of the Premiership football seasons 2004/05 and 2005/06, a count is made of the number of goals scored in each of the 380 matches. The results are shown in the table.

\multirow{2}{*}{Number of goals scored in a match}	Number of matches
	2004/05	2005/06
0	30	32
1	79	82
2	99	95
3	68	78
4	60	48
5	24	30
6	11	9
7	6	6
8	2	0
9	1	0
Total	380	380

For the number of goals scored in a match during the 2004/05 season:
1. determine the median and the interquartile range;
2. calculate the mean and the standard deviation.
Two statistics students, Jole and Katie, independently analyse the data on the number of goals scored in a match during the 2005/06 season.
- Jole determines correctly that the median is 2 and that the interquartile range is also 2.
- Katie calculates correctly, to two decimal places, that the mean is 2.48 and that the standard deviation is 1.59 .
  1. Use your answers from part (a), together with Jole's and Katie's results, to compare briefly the two seasons with regard to the average and the spread of the number of goals scored in a match.
  2. Jole claims that Katie's results must be wrong as $95 \%$ of values always lie within 2 standard deviations of the mean and $( 2.48 - 2 \times 1.59 ) < 0$ which is nonsense.
Explain why Jole's claim is incorrect. (You are not expected to confirm Katie's results.)

AQA S1 2008 January Q7

7 A travel agency in Tunisia offers customers a 3-day tour into the Sahara desert by either coach or minibus.

The agency accepts bookings from 50 customers for seats on the coach. The probability that a customer, who has booked a seat on the coach, will not turn up to claim the seat is 0.08 , and may be assumed to be independent of the behaviour of other customers. Determine the probability that, of the customers who have booked a seat on the coach:
1. two or more will not turn up;
2. three or more will not turn up.
The agency accepts bookings from 15 customers for seats on the minibus. The probability that a customer, who has booked a seat on the minibus, will not turn up to claim the seat is 0.025 , and may be assumed to be independent of the behaviour of other customers. Calculate the probability that, of the customers who have booked a seat on the minibus:
1. all will turn up;
2. one or more will not turn up.
The coach has 48 seats and the minibus has 14 seats. If 14 or fewer customers who have booked seats on the minibus turn up, they will be allocated a seat on the minibus. If all 15 customers who have booked seats on the minibus turn up, one will be allocated a seat on the coach. This will leave only 47 seats available for the 50 customers who have booked seats on the coach. Use your results from parts (a) and (b) to calculate the probability that there will be seats available on the coach for all those who turn up having booked such seats.
(4 marks)

AQA S1 2009 January Q1

1 Ms N Parker always reads the columns of announcements in her local weekly newspaper. During each week of 2008, she notes the number of births announced. Her results are summarised in the table.

Number of births	1	2	3	4	5	6	7	8
Number of weeks	1	2	9	13	7	13	6	1

Calculate the mean, median and modes of these data.
State, with a reason, which of the three measures of average in part (a) you consider to be the least appropriate for summarising the number of births.

AQA S1 2009 January Q2

2 A greengrocer sells bunches of 9 carrots at his Saturday market stall. Tom and Geri are two Statistics students who work on the stall. Each selects a bunch of carrots at random.

At home, Tom measures the length, $x$ centimetres, and the maximum diameter, $y$ centimetres, of each carrot in his selected bunch with the following results.
$\boldsymbol { x }$ 16.2 13.1 10.4 12.1 14.6 9.7 11.8 13.6 17.3
$\boldsymbol { y }$ 4.2 3.9 4.7 3.3 3.7 2.4 3.1 3.5 2.7
1. Calculate the value of the product moment correlation coefficient.
2. Interpret your value in context.
At her home, Geri measures the length, in centimetres, and the weight, in grams, of each carrot in her selected bunch and then obtains a value of - 0.986 for the product moment correlation coefficient. Comment, with a reason, on the likely validity of Geri's value.

AQA S1 2009 January Q3

3 UPVC facia board is supplied in lengths labelled as 5 metres. The actual length, $X$ metres, of a board may be modelled by a normal distribution with a mean of 5.08 and a standard deviation of 0.05 .

Determine:
1. $\mathrm { P } ( X < 5 )$;
2. $\mathrm { P } ( 5 < X < 5.10 )$.
Determine the probability that the mean length of a random sample of 4 boards:
1. exceeds 5.05 metres;
2. is exactly 5 metres.
Assuming that the value of the standard deviation remains unchanged, determine the mean length necessary to ensure that only 1 per cent of boards have lengths less than 5 metres.

AQA S1 2009 January Q4

4 Gary and his neighbour Larry work at the same place.
On any day when Gary travels to work, he uses one of three options: his car only, a bus only or both his car and a bus. The probability that he uses his car, either on its own or with a bus, is 0.6 . The probability that he uses both his car and a bus is 0.25 .

Calculate the probability that, on any particular day when Gary travels to work, he:
1. does not use his car;
2. uses his car only;
3. uses a bus.
On any day, the probability that Larry travels to work with Gary is 0.9 when Gary uses his car only, is 0.7 when Gary uses both his car and a bus, and is 0.3 when Gary uses a bus only.
1. Calculate the probability that, on any particular day when Gary travels to work, Larry travels with him.
2. Assuming that option choices are independent from day to day, calculate, to three decimal places, the probability that, during any particular week (5 days) when Gary travels to work every day, Larry never travels with him.

AQA S1 2009 January Q5

5 The times taken by new recruits to complete an assault course may be modelled by a normal distribution with a standard deviation of 8 minutes. A group of 30 new recruits takes a total time of 1620 minutes to complete the course.

Calculate the mean time taken by these 30 new recruits.
Assuming that the 30 recruits may be considered to be a random sample, construct a $98 \%$ confidence interval for the mean time taken by new recruits to complete the course.
Construct an interval within which approximately $98 \%$ of the times taken by individual new recruits to complete the course will lie.
State where, if at all, in this question you made use of the Central Limit Theorem.

AQA S1 2009 January Q6

6 [Figure 1, printed on the insert, is provided for use in this question.]
For a random sample of 10 patients who underwent hip-replacement operations, records were kept of their ages, $x$ years, and of the number of days, $y$, following their operations before they were able to walk unaided safely.

Patient	$\mathbf { A }$	$\mathbf { B }$	$\mathbf { C }$	$\mathbf { D }$	$\mathbf { E }$	$\mathbf { F }$	$\mathbf { G }$	$\mathbf { H }$	$\mathbf { I }$	$\mathbf { J }$
$\boldsymbol { x }$	55	51	62	66	72	59	78	55	62	70
$\boldsymbol { y }$	34	33	39	49	48	43	51	41	46	51

On Figure 1, complete the scatter diagram for these data.
Calculate the equation of the least squares regression line of $y$ on $x$.
Draw your regression line on Figure 1.
In fact, patients H, I and J were males and the other 7 patients were females.
1. Calculate the mean of the residuals for the 3 male patients.
2. Hence estimate, for a male patient aged 65 years, the number of days following his hip-replacement operation before he is able to walk unaided safely.

AQA S1 2009 January Q7

7 The proportion of passengers who use senior citizen bus passes to travel into a particular town on 'Park \& Ride' buses between 9.30 am and 11.30 am on weekdays is 0.45 . It is proposed that, when there are $n$ passengers on a bus, a suitable model for the number of passengers using senior citizen bus passes is the distribution $\mathrm { B } ( n , 0.45 )$.

Assuming that this model applies to the 10.30 am weekday 'Park \& Ride' bus into the town:
1. calculate the probability that, when there are $\mathbf { 1 6 }$ passengers, exactly 3 of them are using senior citizen bus passes;
2. determine the probability that, when there are $\mathbf { 2 5 }$ passengers, fewer than 10 of them are using senior citizen bus passes;
3. determine the probability that, when there are $\mathbf { 4 0 }$ passengers, at least 15 but at most 20 of them are using senior citizen bus passes;
4. calculate the mean and the variance for the number of passengers using senior citizen bus passes when there are $\mathbf { 5 0 }$ passengers.
1. Give a reason why the proposed model may not be suitable.
2. Give a different reason why the proposed model would not be suitable for the number of passengers using senior citizen bus passes to travel into the town on the 7.15 am weekday 'Park \& Ride' bus.

AQA S1 2011 January Q1

Estimate, without undertaking any calculations, the value of the product moment correlation coefficient between the variables $x$ and $y$ for each of the two scatter diagrams. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{(i)} \includegraphics[alt={},max width=\textwidth]{156f9453-ebc6-4406-b5bc-08d1918ebc62-02_487_652_733_356}
\end{figure} \includegraphics[max width=\textwidth, alt={}, center]{156f9453-ebc6-4406-b5bc-08d1918ebc62-02_576_714_733_1153}
The table gives the circumference, $x$ centimetres, and the weight, $y$ grams, of each of 12 new cricket balls.
$\boldsymbol { x }$ 22.5 22.7 22.6 22.4 22.5 22.8 22.6 22.7 22.8 22.4 22.9 22.6
$\boldsymbol { y }$ 160.3 159.4 157.8 158.0 157.3 159.8 158.3 159.6 161.3 156.4 162.5 161.2
1. Calculate the value of the product moment correlation coefficient between $x$ and $y$.
2. Assuming that the 12 balls may be considered to be a random sample, interpret your value in context.

AQA S1 2011 January Q2

2 The number of MPs in the House of Commons was 645 at the beginning of August 2009. The genders of these MPs and the political parties to which they belonged are shown in the table.

\multirow{2}{*}{}		Political Party
		Labour	Conservative	Liberal Democrat	Other	Total
\multirow{2}{*}{Gender}	Male	255	175	54	35	519
	Female	94	18	9	5	126
	Total	349	193	63	40	645

One MP was selected at random for an interview. Calculate, to three decimal places, the probability that the MP was:
1. a male Conservative;
2. a male;
3. a Liberal Democrat;
4. Labour, given that the MP was female;
5. male, given that the MP was not Labour.
Two female MPs were selected at random for an enquiry. Calculate, to three decimal places, the probability that both MPs were Labour.
Three MPs were selected at random for a committee. Calculate, to three decimal places, the probability that exactly one MP was Labour and exactly one MP was Conservative.

AQA S1 2011 January Q3

3 The volume, $X$ litres, of orange juice in a 1-litre carton may be modelled by a normal distribution with unknown mean $\mu$. The volumes, $x$ litres, recorded to the nearest 0.01 litre, in a random sample of 100 cartons are shown in the table.

Volume ( $\boldsymbol { x }$ litres)	Number of cartons (f)
0.95-0.97	2
0.98-1.00	7
1.01-1.03	15
1.04-1.06	32
1.07-1.09	22
1.10-1.12	14
1.13-1.15	7
1.16-1.18	1
Total	100

For the group ' $0.98 - 1.00$ ':
1. show that it has a mid-point of 0.99 litres;
2. state the minimum and the maximum values of $x$ that could be included in this group.
Calculate, to three decimal places, estimates of the mean and the standard deviation of these 100 volumes.
1. Construct an approximate $99 \%$ confidence interval for $\mu$.
2. State why use of the Central Limit Theorem was not required when calculating this confidence interval.
3. Give a reason why the confidence interval is approximate rather than exact.
Give a reason in support of the claim that:
1. $\mu > 1$;
2. $\mathrm { P } ( 0.94 < X < 1.16 )$ is approximately 1 .
  \includegraphics[max width=\textwidth, alt={}]{156f9453-ebc6-4406-b5bc-08d1918ebc62-10_2486_1714_221_153}
  
  \includegraphics[max width=\textwidth, alt={}]{156f9453-ebc6-4406-b5bc-08d1918ebc62-11_2486_1714_221_153}

AQA S1 2011 January Q4

4 Clay pigeon shooting is the sport of shooting at special flying clay targets with a shotgun.

Rhys, a novice, uses a single-barrelled shotgun. The probability that he hits a target is 0.45 , and may be assumed to be independent from target to target. Determine the probability that, in a series of shots at 15 targets, he hits:
1. at most 5 targets;
2. more than 10 targets;
3. exactly 6 targets;
4. at least 5 but at most 10 targets.
Sasha, an expert, uses a double-barrelled shotgun. She shoots at each target with the gun's first barrel and, only if she misses, does she then shoot at the target with the gun's second barrel. The probability that she hits a target with a shot using her gun's first barrel is 0.85 . The conditional probability that she hits a target with a shot using her gun's second barrel, given that she has missed the target with a shot using her gun's first barrel, is 0.80 . Assume that Sasha's shooting is independent from target to target.
1. Show that the probability that Sasha hits a target is 0.97 .
2. Determine the probability that, in a series of shots at 50 targets, Sasha hits at least 48 targets.
3. In a series of shots at 80 targets, calculate the mean number of times that Sasha shoots at targets with her gun's second barrel.
  \includegraphics[max width=\textwidth, alt={}]{156f9453-ebc6-4406-b5bc-08d1918ebc62-14_2486_1714_221_153}

\(\boldsymbol { x }\)	9	3	4	10	8	12	7	11	2	6
\(\boldsymbol { y }\)	11	6	5	11	9	13	9	12	4	7

Time (seconds)	Number of customers
\(20 < x \leqslant 30\)	2
\(30 < x \leqslant 40\)	7
\(40 < x \leqslant 60\)	18
\(60 < x \leqslant 80\)	27
\(80 < x \leqslant 100\)	23
\(100 < x \leqslant 120\)	13
\(120 < x \leqslant 150\)	7
\(150 < x \leqslant 180\)	3
Total	100

Boy	A	B	C	D	E	F	G	H	I	J
Freestyle ( \(\boldsymbol { x }\) seconds)	30.2	32.8	25.1	31.8	31.2	35.6	32.4	38.0	36.1	34.1
Backstroke ( \(y\) seconds)	33.5	35.4	37.4	27.2	34.7	38.2	37.7	41.4	42.3	38.4

\(\boldsymbol { x }\)	16.2	13.1	10.4	12.1	14.6	9.7	11.8	13.6	17.3
\(\boldsymbol { y }\)	4.2	3.9	4.7	3.3	3.7	2.4	3.1	3.5	2.7

Patient	\(\mathbf { A }\)	\(\mathbf { B }\)	\(\mathbf { C }\)	\(\mathbf { D }\)	\(\mathbf { E }\)	\(\mathbf { F }\)	\(\mathbf { G }\)	\(\mathbf { H }\)	\(\mathbf { I }\)	\(\mathbf { J }\)
\(\boldsymbol { x }\)	55	51	62	66	72	59	78	55	62	70
\(\boldsymbol { y }\)	34	33	39	49	48	43	51	41	46	51

\(\boldsymbol { x }\)	22.5	22.7	22.6	22.4	22.5	22.8	22.6	22.7	22.8	22.4	22.9	22.6
\(\boldsymbol { y }\)	160.3	159.4	157.8	158.0	157.3	159.8	158.3	159.6	161.3	156.4	162.5	161.2

Volume ( \(\boldsymbol { x }\) litres)	Number of cartons (f)
0.95-0.97	2
0.98-1.00	7
1.01-1.03	15
1.04-1.06	32
1.07-1.09	22
1.10-1.12	14
1.13-1.15	7
1.16-1.18	1
Total	100

Questions — AQA S1 (156 questions)

Browse by module

Browse by board

AQA S1 2006 January Q1

AQA S1 2006 January Q2

AQA S1 2006 January Q3

AQA S1 2006 January Q4

AQA S1 2006 January Q5

AQA S1 2006 January Q6

AQA S1 2006 January Q7

AQA S1 2008 January Q1

AQA S1 2008 January Q2

AQA S1 2008 January Q3

AQA S1 2008 January Q4

AQA S1 2008 January Q5

AQA S1 2008 January Q6

AQA S1 2008 January Q7

AQA S1 2009 January Q1

AQA S1 2009 January Q2

AQA S1 2009 January Q3

AQA S1 2009 January Q4

AQA S1 2009 January Q5

AQA S1 2009 January Q6

AQA S1 2009 January Q7

AQA S1 2011 January Q1

AQA S1 2011 January Q2

AQA S1 2011 January Q3

AQA S1 2011 January Q4