Mr Daniels Maths
Proportion Direct

Set 1

Set 2

Set 3

Q1) If w is proportional to z. If w = 30 and z = 10.
What is the equation linking w to z? [ w =3z]

Q1) If w is proportional to y. If w = 64 and y = 4. What is the value of w when y =1? [ w = 16]

Q1) If x is proportional to \(z^2 \). If x = 162 and z = 3.
What is the value of z when x = 72? [ z =2]

Q2) If w is proportional to z. If w = 60 and z = 5.
What is the equation linking w to z? [ w =12z]

Q2) If w is proportional to z. If w = 104 and z = 8. What is the value of w when z =4? [ w = 52]

Q2) If y is proportional to w. If y = 25 and w = 5. What is the value of w when y = 10? [ 2 ]

Q3) If w is proportional to y. If w = 128 and y = 8.
What is the equation linking w to y? [ w =16y]

Q3) If x is proportional to z. If x = 40 and z = 10. What is the value of x when z =2? [ x = 8]

Q3) If w is proportional to x. If w = 72 and x = 9. What is the value of x when w = 32? [ 4 ]

Q4) If z is proportional to x. If z = 51 and x = 3.
What is the equation linking z to x? [ z =17x]

Q4) If w is proportional to z. If w = 60 and z = 4. What is the value of w when z =8? [ w = 120]

Q4) If y is proportional to \(w^2 \). If y = 832 and w = 8.
What is the value of w when y = 117? [ w =3]

Q5) If x is proportional to y. If x = 144 and y = 9.
What is the equation linking x to y? [ x =16y]

Q5) If x is proportional to w. If x = 30 and w = 2. What is the value of x when w =3? [ x = 45]

Q5) If w is proportional to \(y^3 \). If w = 40 and y = 2. What is the value of w when y =9? [ w = 3645]

Q6) If w is proportional to y. If w = 36 and y = 9.
What is the equation linking w to y? [ w =4y]

Q6) If x is proportional to y. If x = 36 and y = 3. What is the value of x when y =8? [ x = 96]

Q6) If y is proportional to \(w^3 \). If y = 5632 and w = 8.
What is the value of w when y = 88? [ w =2]

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

Q7) If w is proportional to z. If w = 28 and z = 2. What is the value of w when z =6? [ w = 84]

Q7) If y is proportional to \(z^2 \). If y = 252 and z = 6.
What is the value of z when y = 567? [ z =9]

Q8) If x is proportional to y. If x = 27 and y = 9.
What is the equation linking x to y? [ x =3y]

Q8) If y is proportional to w. If y = 171 and w = 9. What is the value of y when w =5? [ y = 95]

Q8) If z is proportional to \(w^3 \). If z = 1512 and w = 6. What is the value of z when w =5? [ z = 875]

Q9) If y is proportional to z. If y = 12 and z = 2.
What is the equation linking y to z? [ y =6z]

Q9) If y is proportional to x. If y = 36 and x = 3. What is the value of y when x =5? [ y = 60]

Q9) If z is proportional to \(w^2 \). If z = 540 and w = 6.
What is the value of w when z = 960? [ w =8]

Q10) If x is proportional to w. If x = 80 and w = 5.
What is the equation linking x to w? [ x =16w]

Q10) If z is proportional to x. If z = 80 and x = 4. What is the value of z when x =8? [ z = 160]

Q10) If x is proportional to \(y^2 \). If x = 810 and y = 9. What is the value of x when y =7? [ x = 490]