Mr Daniels Maths
Proportion Direct

Set 1

Set 2

Set 3

Q1) If x is proportional to w. If x = 144 and w = 8.
What is the equation linking x to w? [ x =18w]

Q1) If y is proportional to w. If y = 108 and w = 6. What is the value of y when w =10? [ y = 180]

Q1) If z is proportional to x. If z = 60 and x = 3. What is the value of x when z = 100? [ 5 ]

Q2) If z is proportional to y. If z = 112 and y = 7.
What is the equation linking z to y? [ z =16y]

Q2) If z is proportional to w. If z = 27 and w = 3. What is the value of z when w =2? [ z = 18]

Q2) If x is proportional to \(z^2 \). If x = 162 and z = 3.
What is the value of z when x = 1458? [ z =9]

Q3) If y is proportional to x. If y = 126 and x = 9.
What is the equation linking y to x? [ y =14x]

Q3) If z is proportional to x. If z = 200 and x = 10. What is the value of z when x =8? [ z = 160]

Q3) If x is proportional to \(z^3 \). If x = 513 and z = 3. What is the value of x when z =1? [ x = 19]

Q4) If z is proportional to w. If z = 110 and w = 10.
What is the equation linking z to w? [ z =11w]

Q4) If z is proportional to w. If z = 22 and w = 2. What is the value of z when w =1? [ z = 11]

Q4) If x is proportional to \(w^2 \). If x = 153 and w = 3. What is the value of x when w =10? [ x = 1700]

Q5) If z is proportional to y. If z = 12 and y = 3.
What is the equation linking z to y? [ z =4y]

Q5) If x is proportional to z. If x = 36 and z = 2. What is the value of x when z =1? [ x = 18]

Q5) If w is proportional to z. If w = 35 and z = 5. What is the value of z when w = 42? [ 6 ]

Q6) If y is proportional to w. If y = 55 and w = 5.
What is the equation linking y to w? [ y =11w]

Q6) If z is proportional to x. If z = 10 and x = 2. What is the value of z when x =8? [ z = 40]

Q6) If x is proportional to \(z^3 \). If x = 960 and z = 4. What is the value of x when z =2? [ x = 120]

Q7) If y is proportional to x. If y = 110 and x = 10.
What is the equation linking y to x? [ y =11x]

Q7) If x is proportional to z. If x = 21 and z = 3. What is the value of x when z =8? [ x = 56]

Q7) If z is proportional to \(x^3 \). If z = 2000 and x = 10. What is the value of z when x =3? [ z = 54]

Q8) If x is proportional to z. If x = 72 and z = 6.
What is the equation linking x to z? [ x =12z]

Q8) If x is proportional to y. If x = 54 and y = 6. What is the value of x when y =1? [ x = 9]

Q8) If w is proportional to \(z^2 \). If w = 256 and z = 8.
What is the value of z when w = 36? [ z =3]

Q9) If w is proportional to x. If w = 117 and x = 9.
What is the equation linking w to x? [ w =13x]

Q9) If w is proportional to y. If w = 84 and y = 6. What is the value of w when y =1? [ w = 14]

Q9) If w is proportional to y. If w = 14 and y = 2. What is the value of y when w = 42? [ 6 ]

Q10) If y is proportional to w. If y = 60 and w = 3.
What is the equation linking y to w? [ y =20w]

Q10) If w is proportional to x. If w = 56 and x = 7. What is the value of w when x =5? [ w = 40]

Q10) If x is proportional to w. If x = 160 and w = 8. What is the value of w when x = 140? [ 7 ]