QQQ – Bounds and Trial and Improvement
Name ______
1 / What is 3.7254 to 3sf?______
2 / What is 4.710491 to 4sf?
______
3 / I measure the length of ruler as 30cm, correct to the nearest cm.
Lower Bound = ______cm
Upper Bound = ______cm
4 / The weight of a cat is 80kg, correct to the nearest 10kg.
Lower Bound = ______kg
Upper Bound = ______kg
5 / The volume of a McDoublet burger is 100cm3, correct to 2sf (be really careful on this one!).
Lower Bound = ______cm3
Upper Bound = ______cm3
6a / If the diameter of a coin is 3.4cm correct 1dp, its lower bound is 3.35cm and its upper bound 3.45cm. Display this range of possible lengths as a number line:
6b / Write the range of possible lengths above as an inequality, given the diameter is represent by the variable .
______
7 / Use trial and improvement to find the solution of , correct to 1dp.You must show the last 3 values of x you used, and your final choice of x.
______
8 / A rectangle has height , perimeter and area . Form an equation for the area of the rectangle, and hence use trial and improvement to determine to 3sf.
Score ______/ 8 Award ______
QQQ – Bounds and Trial and Improvement
Name ______
1 / What is 3.7254 to 3sf?______
2 / What is 4.710491 to 4sf?
______
3 / I measure the length of ruler as 30cm, correct to the nearest cm.
Lower Bound = ______cm
Upper Bound = ______cm
4 / The weight of a cat is 80kg, correct to the nearest 10kg.
Lower Bound = ______kg
Upper Bound = ______kg
5 / The volume of a McDoublet burger is 100cm3, correct to 2sf (be really careful on this one!).
Lower Bound = ______cm3
Upper Bound = ______cm3
6a / If the diameter of a coin is 3.4cm correct 1dp, its lower bound is 3.35cm and its upper bound 3.45cm. Display this range of possible lengths as a number line:
6b / Write the range of possible lengths above as an inequality, given the diameter is represent by the variable .
______
7 / Use trial and improvement to find the solution of , correct to 1dp. You must show the last 3 values of x you used, and your final choice of x.
______
8 / A rectangle has height , perimeter and area . Form an equation for the area of the rectangle, and hence use trial and improvement to determine to 3sf.
Score ______/ 8 Award ______
QQQ – Bounds and Trial and Improvement - ANSWERS
1 / What is 3.7254 to 3sf?3.73
2 / What is 4.710491 to 4sf?
4.710
3 / I measure the length of ruler as 30cm, correct to the nearest cm.
Lower Bound = 29.5 cm
Upper Bound = 30.5 cm
4 / The weight of a cat is 80kg, correct to the nearest 10kg.
Lower Bound = 75kg
Upper Bound = 85kg
5 / The volume of a McDoublet burger is 100cm3, correct to 2sf (be really careful on this one!).
Lower Bound = 99.5 cm3
Upper Bound = 105 cm3
6a / If the diameter of a coin is 3.4cm correct 1dp, its lower bound is 3.35cm and its upper bound 3.45cm. Display this range of possible lengths as a number line:
6b / Write the range of possible lengths above as an inequality, given the diameter is represent by the variable .
7 / Use trial and improvement to find the solution of , correct to 1dp. You must show the last 3 values of x you used, and your final choice of x.
x = 2.4 : 0.96 Too small
x = 2.5 : 1.25 Too big
x = 2.45 : 1.1025 Too big
2.4 to 1dp
8 / A rectangle has height , perimeter and area . Form an equation for the area of the rectangle, and hence use trial and improvement to determine to 3sf. (Working not required)
Area is