Mr Daniels Maths
Proportion Direct

Set 1

Set 2

Set 3

Q1) If w is proportional to z. If w = 18 and z = 3.
What is the equation linking w to z? [ w =6z]

Q1) If z is proportional to w. If z = 90 and w = 5. What is the value of z when w =7? [ z = 126]

Q1) If z is proportional to \(x^2 \). If z = 162 and x = 9. What is the value of z when x =7? [ z = 98]

Q2) If w is proportional to y. If w = 9 and y = 3.
What is the equation linking w to y? [ w =3y]

Q2) If w is proportional to x. If w = 135 and x = 9. What is the value of w when x =2? [ w = 30]

Q2) If x is proportional to \(w^3 \). If x = 875 and w = 5.
What is the value of w when x = 2401? [ w =7]

Q3) If w is proportional to y. If w = 90 and y = 9.
What is the equation linking w to y? [ w =10y]

Q3) If y is proportional to z. If y = 120 and z = 6. What is the value of y when z =7? [ y = 140]

Q3) If y is proportional to \(w^2 \). If y = 1000 and w = 10.
What is the value of w when y = 360? [ w =6]

Q4) If w is proportional to x. If w = 102 and x = 6.
What is the equation linking w to x? [ w =17x]

Q4) If w is proportional to x. If w = 4 and x = 2. What is the value of w when x =9? [ w = 18]

Q4) If y is proportional to \(w^3 \). If y = 96 and w = 2. What is the value of y when w =4? [ y = 768]

Q5) If x is proportional to z. If x = 85 and z = 5.
What is the equation linking x to z? [ x =17z]

Q5) If w is proportional to y. If w = 24 and y = 8. What is the value of w when y =9? [ w = 27]

Q5) If z is proportional to \(w^3 \). If z = 152 and w = 2. What is the value of z when w =4? [ z = 1216]

Q6) If y is proportional to w. If y = 78 and w = 6.
What is the equation linking y to w? [ y =13w]

Q6) If y is proportional to w. If y = 60 and w = 5. What is the value of y when w =10? [ y = 120]

Q6) If z is proportional to \(w^2 \). If z = 735 and w = 7.
What is the value of w when z = 1215? [ w =9]

Q7) If y is proportional to w. If y = 105 and w = 7.
What is the equation linking y to w? [ y =15w]

Q7) If x is proportional to z. If x = 54 and z = 6. What is the value of x when z =9? [ x = 81]

Q7) If w is proportional to \(y^3 \). If w = 3430 and y = 7.
What is the value of y when w = 2160? [ y =6]

Q8) If w is proportional to y. If w = 81 and y = 9.
What is the equation linking w to y? [ w =9y]

Q8) If w is proportional to z. If w = 27 and z = 9. What is the value of w when z =1? [ w = 3]

Q8) If z is proportional to y. If z = 36 and y = 2. What is the value of y when z = 180? [ 10 ]

Q9) If y is proportional to x. If y = 30 and x = 5.
What is the equation linking y to x? [ y =6x]

Q9) If w is proportional to x. If w = 14 and x = 7. What is the value of w when x =5? [ w = 10]

Q9) If x is proportional to \(w^3 \). If x = 500 and w = 5.
What is the value of w when x = 108? [ w =3]

Q10) If y is proportional to w. If y = 170 and w = 10.
What is the equation linking y to w? [ y =17w]

Q10) If z is proportional to y. If z = 105 and y = 7. What is the value of z when y =10? [ z = 150]

Q10) If y is proportional to \(x^2 \). If y = 729 and x = 9.
What is the value of x when y = 576? [ x =8]