Mr Daniels Maths
Proportion Direct

Set 1

Set 2

Set 3

Q1) If w is proportional to y. If w = 39 and y = 3.
What is the equation linking w to y? [ w =13y]

Q1) If z is proportional to y. If z = 100 and y = 5. What is the value of z when y =10? [ z = 200]

Q1) If w is proportional to \(z^3 \). If w = 5103 and z = 9.
What is the value of z when w = 56? [ z =2]

Q2) If z is proportional to y. If z = 126 and y = 7.
What is the equation linking z to y? [ z =18y]

Q2) If y is proportional to z. If y = 60 and z = 5. What is the value of y when z =1? [ y = 12]

Q2) If w is proportional to \(z^2 \). If w = 896 and z = 8. What is the value of w when z =4? [ w = 224]

Q3) If w is proportional to z. If w = 153 and z = 9.
What is the equation linking w to z? [ w =17z]

Q3) If z is proportional to w. If z = 42 and w = 3. What is the value of z when w =7? [ z = 98]

Q3) If x is proportional to y. If x = 60 and y = 4. What is the value of y when x = 105? [ 7 ]

Q4) If y is proportional to x. If y = 10 and x = 2.
What is the equation linking y to x? [ y =5x]

Q4) If w is proportional to y. If w = 40 and y = 8. What is the value of w when y =9? [ w = 45]

Q4) If y is proportional to w. If y = 54 and w = 9. What is the value of w when y = 6? [ 1 ]

Q5) If z is proportional to w. If z = 24 and w = 8.
What is the equation linking z to w? [ z =3w]

Q5) If z is proportional to x. If z = 38 and x = 2. What is the value of z when x =7? [ z = 133]

Q5) If z is proportional to w. If z = 12 and w = 3. What is the value of w when z = 24? [ 6 ]

Q6) If x is proportional to w. If x = 81 and w = 9.
What is the equation linking x to w? [ x =9w]

Q6) If x is proportional to z. If x = 140 and z = 10. What is the value of x when z =5? [ x = 70]

Q6) If z is proportional to \(y^2 \). If z = 27 and y = 3.
What is the value of y when z = 75? [ y =5]

Q7) If w is proportional to y. If w = 36 and y = 4.
What is the equation linking w to y? [ w =9y]

Q7) If y is proportional to x. If y = 84 and x = 7. What is the value of y when x =10? [ y = 120]

Q7) If x is proportional to y. If x = 68 and y = 4. What is the value of y when x = 85? [ 5 ]

Q8) If w is proportional to x. If w = 50 and x = 10.
What is the equation linking w to x? [ w =5x]

Q8) If w is proportional to y. If w = 27 and y = 9. What is the value of w when y =4? [ w = 12]

Q8) If z is proportional to \(w^2 \). If z = 98 and w = 7.
What is the value of w when z = 18? [ w =3]

Q9) If z is proportional to x. If z = 100 and x = 10.
What is the equation linking z to x? [ z =10x]

Q9) If y is proportional to x. If y = 96 and x = 8. What is the value of y when x =10? [ y = 120]

Q9) If w is proportional to x. If w = 42 and x = 7. What is the value of x when w = 48? [ 8 ]

Q10) If w is proportional to x. If w = 84 and x = 6.
What is the equation linking w to x? [ w =14x]

Q10) If x is proportional to z. If x = 90 and z = 10. What is the value of x when z =5? [ x = 45]

Q10) If z is proportional to \(w^2 \). If z = 153 and w = 3. What is the value of z when w =4? [ z = 272]