Practise questions · Salam Academy

SA-9709-P4-NL4-0022 marksL1 FoundationCalculatorLifts

A passenger of mass

50

kg is in a lift accelerating downwards at

2\ \text{m s}^{-2}

. Find the force of the floor on the passenger.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-NL4-0052 marksL1 FoundationCalculatorVertical forces

A ball of mass

0.2

kg falls vertically against a constant air resistance of

0.5

N. Find its acceleration.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-NL-G011 markL1 FoundationCalculatorF = ma

A resultant force of

10

N acts on a

4

kg mass. Find its acceleration.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-0013 marksL1 FoundationCalculatorMean and SD

For

10

values,

\Sigma x=120

and

\Sigma x^2=1650

. Find the mean and the standard deviation, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-0042 marksL1 FoundationCalculatorHistograms

Using the data in the previous question, find the frequency densities for the classes

10\le t<20

and

30\le t<50

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-0051 markL1 FoundationCalculatorHistograms

On a histogram, the bar for the class

15\le x<20

has height (frequency density)

3.2

. How many values are in this class?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-0064 marksL1 FoundationCalculatorQuartiles

For the data

2,\ 4,\ 5,\ 7,\ 8,\ 10,\ 12,\ 13,\ 15,\ 18,\ 21

, find the median, the lower and upper quartiles, and the interquartile range.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-0112 marksL1 FoundationCalculatorCoding

The values of

x

have mean

10

and standard deviation

4

. Each value is changed using

y=2x+3

. Find the mean and standard deviation of

y

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-0142 marksL1 FoundationCalculatorMean and SD

The five values

4,\ 7,\ x,\ 10,\ 12

have mean

8

. Find

x

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR1-0014 marksL1 FoundationCalculatorQuartiles

For the data

12,\ 15,\ 18,\ 20,\ 23,\ 27,\ 31

, find the median, the lower quartile, the upper quartile and the interquartile range.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR1-0042 marksL1 FoundationCalculatorDisplays

A box plot shows minimum

5

, lower quartile

12

, median

18

, upper quartile

25

and maximum

40

. Find the interquartile range and the range.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR2-0011 markL1 FoundationCalculatorHistograms

The class

20\le x<25

has frequency

30

. Find its frequency density.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR3-0013 marksL1 FoundationCalculatorMean and SD

Find the mean and standard deviation of

2,\ 4,\ 4,\ 5,\ 7,\ 8

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR3-0023 marksL1 FoundationCalculatorMean and SD

For

8

values,

\Sigma x=96

and

\Sigma x^2=1240

. Find the mean and the standard deviation, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR4-0013 marksL1 FoundationCalculatorCoding

For

20

values,

\Sigma(x-100)=60

and

\Sigma(x-100)^2=500

. Find the mean and standard deviation of

x

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR4-0032 marksL1 FoundationCalculatorCoding

A data set has mean

30

and standard deviation

5

. Every value is multiplied by

3

and then

10

is subtracted. Find the new mean and standard deviation.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-G013 marksL1 FoundationCalculatorMean and SD

Find the mean and standard deviation of

3,\ 5,\ 7,\ 8,\ 12

. Give the standard deviation correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DV-0012 marksL1 FoundationCalculatorDistributions

The random variable

X

has

P(X=x)=kx

for

x=1,2,3,4

. Find

k

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DV-0021 markL1 FoundationCalculatorBuilding tables

Three fair coins are thrown and

X

is the number of heads. Find

P(X=2)

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DV-0032 marksL1 FoundationCalculatorBinomial

X\sim B(10,0.3)

. Find

P(X=3)

, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

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