Bar Charts & Pictograms: WJEC GCSE Intermediate June 2023 Unit 2 Q5

Intermediate June 2023 Unit 2 Q5

WJECIntermediateCurrent spec5 marksBar Charts & Pictograms Basic Probability Pie Charts

(a) A box contains different-coloured balls.
Some are red, some are blue and the others are green.

The bar chart shows how many balls of each colour are in the box.

Bar chart of number of balls by colour: Red 2, Blue 5, Green 3

Draw an accurate pie chart to compare the number of coloured balls in the box.
Part of the pie chart has been completed for you. [3]

Pie chart circle with the right half shaded and labelled Blue; the left half is blank

(b) The letters A, B, C and D describe four different events.

Experiment	Event
A fair 6-sided dice is thrown.	A	4 is thrown.
A fair coin is thrown.	B	A tail is thrown.
Four cards labelled North, East, South and West are placed in a box. One card is chosen at random.	C	North is chosen.
Seven cards, each labelled with a different day of the week, are placed in a box. One card is chosen at random.	D	Sunday is chosen.

Using the letters A, B, C and D, list the events in the order of how likely they are to happen.
Start with the least likely and end with the most likely. [2]

☐ ☐ ☐ ☐
Least likely ⟶ Most likely

Mark scheme (a)

Scheme	Marks	Comments
Correctly drawn pie chart within tolerance AND correctly labelled Red = 72(°) (allow 70° to 74°) Green = 108(°) (allow 106° to 110°)	B3	Award B2 for one of the following: correctly drawn pie chart within tolerance but not labelled or incorrectly labelled pie chart drawn within tolerance but not a straight line pie chart drawn not starting from the centre (but with end point within tolerance) sight of red = 72(°) sight of green = 108(°). Award B1 for sight of one of the following: 72(°) 108(°) (red=) \(\dfrac{2}{10}\) × 360 or equivalent (red=) \(\dfrac{2}{5}\) × 180 or equivalent (green=) \(\dfrac{3}{10}\) × 360 or equivalent (green=) \(\dfrac{3}{5}\) × 180 or equivalent ‘their derived 72’ and ‘their derived 108’ drawn correctly, provided that ‘their 72’ + ‘their 108’ = 180 and identified as red and green, and not 90°.

Scheme

Marks

Comments

Correctly drawn pie chart within tolerance AND correctly labelled

Red = 72(°) (allow 70° to 74°)
Green = 108(°) (allow 106° to 110°)

Award B2 for one of the following:

correctly drawn pie chart within tolerance but not labelled or incorrectly labelled
pie chart drawn within tolerance but not a straight line
pie chart drawn not starting from the centre (but with end point within tolerance)
sight of red = 72(°)
sight of green = 108(°).

Award B1 for sight of one of the following:

72(°)
108(°)
(red=) \(\dfrac{2}{10}\) × 360 or equivalent
(red=) \(\dfrac{2}{5}\) × 180 or equivalent
(green=) \(\dfrac{3}{10}\) × 360 or equivalent
(green=) \(\dfrac{3}{5}\) × 180 or equivalent
‘their derived 72’ and ‘their derived 108’ drawn correctly, provided that ‘their 72’ + ‘their 108’ = 180 and identified as red and green, and not 90°.

Mark scheme (b)

Scheme

Marks

Comments

D A C B

Award B2 for writing the correct fractions in order
\(\dfrac{1}{7} \quad \dfrac{1}{6} \quad \dfrac{1}{4} \quad \dfrac{1}{2}\)

Award B1 for one of the following:

sight of correct fractions
BCAD (reversed order)

DCB in order	DAC in order	DAB in order	ACB in order
ADCB	BDAC	CDAB	ADCB
DCAB	DBAC	DCAB	ACDB
DCBA	DABC	DABC	ACBD
DCB	DAC	DAB	ACB

Do not accept repeated letters.

Corrected by Westie's Workshop

The board's mark scheme printed “DABC”. Changed to “DAB” because the last row in each column is the three letters alone, and DABC is already shown in the row above.

Original: see the board's mark scheme PDF (link above).