Substituting into Formulae and Rearranging (Year 9)
Free printable NZ Year 9 maths worksheet: substitute values into real formulae (perimeter, area, distance, straight lines), and rearrange formulae to make a different letter the subject.
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Grade 8 · Math worksheet
Name
Date
Math
Substituting into Formulae and Rearranging
Substitute the given values into the formula, or rearrange the formula to make the required letter the subject before solving.
- 1.The formula for the perimeter of a rectangle is P = 2l + 2w. Find P when l = 16 and w = 9.
- 2.The formula for the area of a triangle is A = (12)bh. Find A when b = 10 and h = 8.
- 3.The formula for distance is d = st (speed x time). Find d when s = 97 km/h and t = 4 hours.
- 4.The formula y = mx + c gives the value of y on a straight line. Find y when m = 4, x = -8 and c = -1.
- 5.A rectangle has a perimeter of P = 30 and a length of l = 12, using P = 2l + 2w. Rearrange the formula to make w the subject, then find w.
- 6.A triangle has area A = 84 and height h = 8, using A = (12)bh. Rearrange to make b the subject, then find b.
- 7.A journey covers a distance of d = 276 km at a speed of s = 46 km/h, using d = st. Rearrange to make t the subject, then find t.
- 8.A line has equation y = mx + c. If y = -10, m = 9 and c = -1, rearrange the formula to make x the subject, then find x.
- 9.A rectangular garden has a perimeter of 38 m. Its width is 9 m. Using P = 2l + 2w, find the length of the garden.
- 10.A cyclist rides 312 km in 6 hours at a constant speed. Using d = st, find the cyclist's speed.
- 11.A triangular sail has an area of 24 and a base of 4 m. Using A = (12)bh, find the height of the sail.
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