Mr Daniels Maths
Proportion Direct

Set 1

Set 2

Set 3

Q1) If w is proportional to z. If w = 90 and z = 9.
What is the equation linking w to z? [ w =10z]

Q1) If z is proportional to x. If z = 42 and x = 3. What is the value of z when x =5? [ z = 70]

Q1) If z is proportional to x. If z = 22 and x = 2. What is the value of x when z = 77? [ 7 ]

Q2) If x is proportional to w. If x = 104 and w = 8.
What is the equation linking x to w? [ x =13w]

Q2) If w is proportional to x. If w = 56 and x = 4. What is the value of w when x =10? [ w = 140]

Q2) If x is proportional to \(w^2 \). If x = 80 and w = 4. What is the value of x when w =10? [ x = 500]

Q3) If w is proportional to x. If w = 162 and x = 9.
What is the equation linking w to x? [ w =18x]

Q3) If w is proportional to y. If w = 45 and y = 9. What is the value of w when y =6? [ w = 30]

Q3) If z is proportional to x. If z = 24 and x = 3. What is the value of x when z = 80? [ 10 ]

Q4) If x is proportional to w. If x = 119 and w = 7.
What is the equation linking x to w? [ x =17w]

Q4) If x is proportional to w. If x = 72 and w = 4. What is the value of x when w =1? [ x = 18]

Q4) If x is proportional to \(w^2 \). If x = 468 and w = 6. What is the value of x when w =7? [ x = 637]

Q5) If z is proportional to x. If z = 135 and x = 9.
What is the equation linking z to x? [ z =15x]

Q5) If w is proportional to z. If w = 30 and z = 10. What is the value of w when z =1? [ w = 3]

Q5) If y is proportional to \(z^2 \). If y = 117 and z = 3. What is the value of y when z =4? [ y = 208]

Q6) If z is proportional to w. If z = 21 and w = 3.
What is the equation linking z to w? [ z =7w]

Q6) If w is proportional to z. If w = 20 and z = 10. What is the value of w when z =2? [ w = 4]

Q6) If x is proportional to \(w^2 \). If x = 637 and w = 7.
What is the value of w when x = 325? [ w =5]

Q7) If w is proportional to z. If w = 80 and z = 4.
What is the equation linking w to z? [ w =20z]

Q7) If y is proportional to z. If y = 34 and z = 2. What is the value of y when z =6? [ y = 102]

Q7) If w is proportional to \(z^3 \). If w = 1029 and z = 7.
What is the value of z when w = 375? [ z =5]

Q8) If y is proportional to z. If y = 8 and z = 2.
What is the equation linking y to z? [ y =4z]

Q8) If x is proportional to z. If x = 18 and z = 6. What is the value of x when z =10? [ x = 30]

Q8) If y is proportional to z. If y = 102 and z = 6. What is the value of z when y = 34? [ 2 ]

Q9) If z is proportional to y. If z = 70 and y = 10.
What is the equation linking z to y? [ z =7y]

Q9) If z is proportional to w. If z = 50 and w = 5. What is the value of z when w =3? [ z = 30]

Q9) If z is proportional to \(w^2 \). If z = 1458 and w = 9.
What is the value of w when z = 162? [ w =3]

Q10) If x is proportional to y. If x = 64 and y = 8.
What is the equation linking x to y? [ x =8y]

Q10) If x is proportional to y. If x = 135 and y = 9. What is the value of x when y =2? [ x = 30]

Q10) If w is proportional to \(z^2 \). If w = 448 and z = 8. What is the value of w when z =3? [ w = 63]