Charts and tables Worked Solutions — GCSE Maths

Fully worked, step-by-step solutions to GCSE Charts and tables questions. See exactly how to solve problems on reading a bar chart, reading a scale, reading a pictogram, using a key.

reading a bar chartreading a scalereading a pictogramusing a keyreading a vertical line chartfrequency table
GCSE Foundation70 questionsStep-by-step solutions
Question 1
1 markeasy
The bar chart shows the number of books for each subject. Work out the number of books for Art.

Worked solution

  1. Find the bar for Art

    bar=Art\text{bar} = \text{Art}

    Look along the subject axis for the bar labelled Art. Reading the right bar is half of the mark here.

  2. Read the scale on the vertical axis

    1 square=1 unit of frequency1 \text{ square} = 1 \text{ unit of frequency}

    Before reading anything off a chart, check what one square on the frequency axis is worth. Here the numbered ticks go up in equal steps, so the height of a bar is read straight off the axis.

  3. Read the height of the bar

    Art=6\text{Art} = 6

    The top of the Art bar lines up with 66 on the frequency axis, so there are 66 books for Art.

Answer
6 books6\text{ books}
Question 2
1 markeasy
The bar chart shows the number of birds for each type. Work out the number of birds for Robin.

Worked solution

  1. Find the bar for Robin

    bar=Robin\text{bar} = \text{Robin}

    Look along the type axis for the bar labelled Robin. Reading the right bar is half of the mark here.

  2. Read the scale on the vertical axis

    1 square=1 unit of frequency1 \text{ square} = 1 \text{ unit of frequency}

    Before reading anything off a chart, check what one square on the frequency axis is worth. Here the numbered ticks go up in equal steps, so the height of a bar is read straight off the axis.

  3. Read the height of the bar

    Robin=9\text{Robin} = 9

    The top of the Robin bar lines up with 99 on the frequency axis, so there are 99 birds for Robin.

Answer
9 birds9\text{ birds}
Question 3
1 markeasy
The bar chart shows the number of books for each subject. Work out the number of books for History.

Worked solution

  1. Find the bar for History

    bar=History\text{bar} = \text{History}

    Look along the subject axis for the bar labelled History. Reading the right bar is half of the mark here.

  2. Read the scale on the vertical axis

    1 square=1 unit of frequency1 \text{ square} = 1 \text{ unit of frequency}

    Before reading anything off a chart, check what one square on the frequency axis is worth. Here the numbered ticks go up in equal steps, so the height of a bar is read straight off the axis.

  3. Read the height of the bar

    History=9\text{History} = 9

    The top of the History bar lines up with 99 on the frequency axis, so there are 99 books for History.

Answer
9 books9\text{ books}
Question 4
1 markeasy
The pictogram shows the number of sweets for each colour. Each full square represents 22 sweets. Work out the number of sweets for Green.

Worked solution

  1. Read the key

    1 full square=2 sweets\text{1 full square} = 2 \text{ sweets}

    A pictogram is useless without its key. Here one full square stands for 22 sweets, so a half square stands for 11.

  2. Count the squares in the Green row

    Green=4 squares\text{Green} = 4 \text{ squares}

    The Green row has 4 full squares, which counts as 44 squares.

  3. Multiply the number of squares by the key

    4×2=84 \times 2 = 8

    Each square is worth 22 sweets, so 4×2=84 \times 2 = 8.

Answer
8 sweets8\text{ sweets}
Question 5
1 markeasy
The pictogram shows the number of letters for each day. Each full square represents 44 letters. Work out the number of letters for Tuesday.

Worked solution

  1. Read the key

    1 full square=4 letters\text{1 full square} = 4 \text{ letters}

    A pictogram is useless without its key. Here one full square stands for 44 letters, so a half square stands for 22.

  2. Count the squares in the Tuesday row

    Tuesday=2.5 squares\text{Tuesday} = 2.5 \text{ squares}

    The Tuesday row has 2 full squares and a half square, which counts as 2.52.5 squares.

  3. Multiply the number of squares by the key

    2.5×4=102.5 \times 4 = 10

    Each square is worth 44 letters, so 2.5×4=102.5 \times 4 = 10.

Answer
10 letters10\text{ letters}

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