Pressure

The Maths Habit

The same box stands on soft sand in two ways. Which way sinks further into the sand?

Lying flat
On its end

On its end. The same push on a smaller area.

Share equally. How much is on each square?

10 shared by 2 squares555 on each square
15 shared by 3 squares5555 on each square
40 shared by 4 squares1010101010 on each square

Force
A push. It is measured in newtons, N.
force
Area
The space a surface covers. It is measured in square metres, m².
area
Pressure
The force on 1 m² of a surface.
1 m²
N/m²
Newtons per square metre. The unit of pressure.
newtons1 m²

A crate pushes down with 90 N on an area of 3 m². Find the pressure.

1Cut the base.
force 90 N303030area 3 m²
2Find 1 m².
90÷3=30N/m²

A table pushes down with 80 N on an area of 4 m². Find the pressure.

1Cut the base.
force 80 N20202020area 4 m²
2Find 1 m².
80÷4=20N/m²

A crate pushes down with 90 N on an area of 3 m². Find the pressure.

1Cut the base.
force 90 N303030area 3 m²
2Find 1 m².
90÷3=30N/m²
1forcearea2force÷area=pressure

A bed pushes down with 50 N on an area of 5 m². Find the pressure.

1Cut the base.
force 50 N1010101010area 5 m²
2Find 1 m².
50÷5=10N/m²

A crate pushes down with 90 N on an area of 3 m². Find the pressure.

1Cut the base.
force 90 N303030area 3 m²
2Find 1 m².
90÷3=30N/m²
1forcearea2force÷area=pressure

A fridge pushes down with 120 N on an area of 2 m². Find the pressure.

1Cut the base.
force 120 N6060area 2 m²
2Find 1 m².
120÷2=60N/m²

A crate pushes down with 90 N on an area of 3 m². Find the pressure.

1Cut the base.
force 90 N303030area 3 m²
2Find 1 m².
90÷3=30N/m²
1forcearea2force÷area=pressure

A tent pushes down with 200 N on an area of 4 m². Find the pressure.

1Cut the base.
force 200 N50505050area 4 m²
2Find 1 m².
200÷4=50N/m²

Pressure worksheet, page 1

Pressure worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. 60 N on 3 m², so the pressure is 20 N/m²

    Right

  2. 40 N on 2 m², so the pressure is 80 N/m²

    Wrong: divide, do not multiply

  3. 50 N on 5 m², so the pressure is 10 N/m²

    Right

  4. 30 N on 3 m², so the pressure is 90 N/m²

    Wrong: divide, do not multiply

  5. 120 N on 4 m², so the pressure is 30 N/m²

    Right

  1. A box puts a pressure of 30 N/m² on an area of 4 m². Find the force.

    120 N

  2. A crate pushes down with 200 N. The pressure is 50 N/m². Find the area.

    4 m²

  3. A box weighs 300 N. Its base is 2 m by 1.5 m. Find the pressure.

    100 N/m²

  1. Find the pressure when a crate pushes down with 60 N on 2 m².

    30 N/m2
    force 60 Narea 2 m²1Cut the base.2Find 1 m².÷=N/m²

  2. Find the pressure when a bench pushes down with 160 N on 4 m².

    40 N/m2
    force 160 Narea 4 m²1Cut the base.2Find 1 m².÷=N/m²

  3. A hut pushes down with 250 N on an area of 5 m². Find the pressure.

    50 N/m2
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