Browse Problems

Explore our collection of math problems across various topics and difficulty levels

12(b) Range of Cuboid Surface Area

The cuboid has sides 5 cm, 6 cm, and 3 cm, each correct to the nearest 1 cm. Find the range of the a

The cuboid has sides 5 cm, 6 cm, and 3 cm, each correct to the nearest 1 cm. Find the range of the actual total surface area of the cuboid.

12(a) Range of Cuboid Volume

The cuboid has sides 5 cm, 6 cm, and 3 cm, each correct to the nearest 1 cm. Find the range of the a

The cuboid has sides 5 cm, 6 cm, and 3 cm, each correct to the nearest 1 cm. Find the range of the actual volume of the cuboid.

11(c) Percentage Error of Square Area

The length of a side of a square is measured to be 5 cm, correct to the nearest 1 cm. Find the perce

The length of a side of a square is measured to be 5 cm, correct to the nearest 1 cm. Find the percentage error of the area of the square.

percentage error

11(b) Maximum Absolute Error of Square Area

The length of a side of a square is measured to be 5 cm, correct to the nearest 1 cm. Find the maxim

The length of a side of a square is measured to be 5 cm, correct to the nearest 1 cm. Find the maximum absolute error of the area of the square.

11(a) Limits of Square Area

The length of a side of a square is measured to be 5 cm, correct to the nearest 1 cm. Find the lower

The length of a side of a square is measured to be 5 cm, correct to the nearest 1 cm. Find the lower limit and upper limit of the area of the square.

10(b) Can Bottle Fill 80 Cups

A big bottle of water contains 10 L of water, correct to the nearest 100 mL. It is used to fill wate

A big bottle of water contains 10 L of water, correct to the nearest 100 mL. It is used to fill water cups so that each cup is filled with 140 mL of water, correct to the nearest 10 mL. Karen thinks t

10(a) Lower Limit of Number of Cups

A big bottle of water contains 10 L of water, correct to the nearest 100 mL. It is used to fill wate

A big bottle of water contains 10 L of water, correct to the nearest 100 mL. It is used to fill water cups so that each cup is filled with 140 mL of water, correct to the nearest 10 mL. Find the lower

9(b) Upper Limit of Rectangle Area

The length of a rectangle is measured to be 8 cm. The width of a rectangle is measured to be 6 cm. E

The length of a rectangle is measured to be 8 cm. The width of a rectangle is measured to be 6 cm. Each measurement is correct to the nearest 1 cm. Find the upper limit of the area of the rectangle.

9(a) Lower Limit of Rectangle Area

The length of a rectangle is measured to be 8 cm. The width of a rectangle is measured to be 6 cm. E

The length of a rectangle is measured to be 8 cm. The width of a rectangle is measured to be 6 cm. Each measurement is correct to the nearest 1 cm. Find the lower limit of the area of the rectangle.

8(b) Percentage Error of Cup Capacity

The capacity of a cup is measured to be 230 mL, correct to the nearest 10 mL. Find the percentage er

The capacity of a cup is measured to be 230 mL, correct to the nearest 10 mL. Find the percentage error of the measurement. Give your answer correct to 3 significant figures.

percentage error

8(a) Relative Error of Cup Capacity

The capacity of a cup is measured to be 230 mL, correct to the nearest 10 mL. Find the relative erro

The capacity of a cup is measured to be 230 mL, correct to the nearest 10 mL. Find the relative error of the measurement.

7(b) Relative Error of Football Diameter

The diameter of a football is measured to be 60 cm, correct to the nearest 0.5 cm. Find the relative

The diameter of a football is measured to be 60 cm, correct to the nearest 0.5 cm. Find the relative error of the measurement.

7(a) Range of Football Diameter

The diameter of a football is measured to be 60 cm, correct to the nearest 0.5 cm. Find the range of

The diameter of a football is measured to be 60 cm, correct to the nearest 0.5 cm. Find the range of the actual diameter of the football.

6(b) Upper Limit of Jerry's Height

The height of Jerry is measured to be 178 cm, correct to the nearest 1 cm. Find the upper limit of t

The height of Jerry is measured to be 178 cm, correct to the nearest 1 cm. Find the upper limit of the height of Jerry.

6(a) Lower Limit of Jerry's Height

The height of Jerry is measured to be 178 cm, correct to the nearest 1 cm. Find the lower limit of t

The height of Jerry is measured to be 178 cm, correct to the nearest 1 cm. Find the lower limit of the height of Jerry.

5(b) Maximum Absolute Error - 365 g

Find the maximum absolute error of the measurement 365 g measured to the nearest 5 g.

Find the maximum absolute error of the measurement 365 g measured to the nearest 5 g.

5(a) Maximum Absolute Error - 4.15 m

Find the maximum absolute error of the measurement 4.15 m measured to the nearest 0.01 m.

Find the maximum absolute error of the measurement 4.15 m measured to the nearest 0.01 m.

4 Average Daily Distance Driven

Johnny has driven 194.23 km in a week. Find the average distance he drives per day that week. Give y

Johnny has driven 194.23 km in a week. Find the average distance he drives per day that week. Give your answer in kilometres to 3 significant figures.

significant figures

3(b) Calculate (1/π - 1.2/(π + 1)) / π to 3 Significant Figures

Calculate \\(\\frac{\\frac{1}{\\pi} - \\frac{1.2}{\\pi + 1}}{\\pi}\\) using a calculator. Give your

Calculate \\(\\frac{\\frac{1}{\\pi} - \\frac{1.2}{\\pi + 1}}{\\pi}\\) using a calculator. Give your answer correct to 3 significant figures.

significant figures

3(a) Calculate 2.347 × 8.25 / (3.66 - 1.05) to 3 Significant Figures

Calculate \\(2.347 \\times \\frac{8.25}{3.66 - 1.05}\\) using a calculator. Give your answer correct

Calculate \\(2.347 \\times \\frac{8.25}{3.66 - 1.05}\\) using a calculator. Give your answer correct to 3 significant figures.

significant figures

2(c) Round 0.00067884 to 3 Significant Figures

Round off 0.00067884 to 3 significant figures.

Round off 0.00067884 to 3 significant figures.

significant figures

2(b) Round 231.94899 to 4 Significant Figures

Round up 231.94899 to 4 significant figures.

Round up 231.94899 to 4 significant figures.

significant figures

2(a) Round 185.46 to 1 Significant Figure

Round down 185.46 to 1 significant figure.

Round down 185.46 to 1 significant figure.

significant figures

1(b) Significant Figures - Count 0.03410

Write down the number of significant figures of 0.03410.

Write down the number of significant figures of 0.03410.

significant figures

1(a) Significant Figures - Count 942.15

Write down the number of significant figures of 942.15.

Write down the number of significant figures of 942.15.

significant figures

7 Lower Limit of Running Speed

Kyle runs 100 metres in 14.3 seconds. The length of the track is measured correct to the nearest met

Kyle runs 100 metres in 14.3 seconds. The length of the track is measured correct to the nearest metre, and the time taken is measured correct to the nearest 0.1 seconds. Find the lower limit of his a

6(b) Upper Limit of Photo Frame Area

The outer frame measures 15 cm by 12 cm and the inner frame measures 12 cm by 9 cm, each correct to

The outer frame measures 15 cm by 12 cm and the inner frame measures 12 cm by 9 cm, each correct to the nearest centimeter. Find the upper limit of the area of the frame.

6(a) Lower Limit of Photo Frame Area

The outer frame measures 15 cm by 12 cm and the inner frame measures 12 cm by 9 cm, each correct to

The outer frame measures 15 cm by 12 cm and the inner frame measures 12 cm by 9 cm, each correct to the nearest centimeter. Find the lower limit of the area of the frame.

5(b) Upper Limit of Cube Volume

The length of a side of a cube is measured to be 6 cm, correct to the nearest 1 cm. Find the upper l

The length of a side of a cube is measured to be 6 cm, correct to the nearest 1 cm. Find the upper limit of the volume of the cube.

5(a) Lower Limit of Cube Volume

The length of a side of a cube is measured to be 6 cm, correct to the nearest 1 cm. Find the lower l

The length of a side of a cube is measured to be 6 cm, correct to the nearest 1 cm. Find the lower limit of the volume of the cube.

4(b) Upper Limit of Triangle Area

The base of a triangle is measured to be 8 cm and the altitude of the triangle is measured to be 7 c

The base of a triangle is measured to be 8 cm and the altitude of the triangle is measured to be 7 cm. Each measurement is correct to the nearest 1 cm. Find the upper limit of the area of the triangle

4(a) Lower Limit of Triangle Area

The base of a triangle is measured to be 8 cm and the altitude of the triangle is measured to be 7 c

The base of a triangle is measured to be 8 cm and the altitude of the triangle is measured to be 7 cm. Each measurement is correct to the nearest 1 cm. Find the lower limit of the area of the triangle

3(c) Maximum Number of Rope Pieces

The length of a rope is measured to be 5 m, correct to the nearest 0.1 m. It is cut into many pieces

The length of a rope is measured to be 5 m, correct to the nearest 0.1 m. It is cut into many pieces of rope such that the length of each rope is measured to be 10 cm, correct to the nearest 1 cm. Fin

3(b) Lower Limit of Each Rope Piece

The length of a rope is measured to be 5 m, correct to the nearest 0.1 m. It is cut into many pieces

The length of a rope is measured to be 5 m, correct to the nearest 0.1 m. It is cut into many pieces of rope such that the length of each rope is measured to be 10 cm, correct to the nearest 1 cm. Fin

3(a) Upper Limit of Rope Length

The length of a rope is measured to be 5 m, correct to the nearest 0.1 m. Find the upper limit of th

The length of a rope is measured to be 5 m, correct to the nearest 0.1 m. Find the upper limit of the length of the rope.

2(b) Can 5 Boxes Fit in 60 cm Shelf

The height of a box is measured to be 11 cm, correct to the nearest 0.5 cm. Is it possible for a sta

The height of a box is measured to be 11 cm, correct to the nearest 0.5 cm. Is it possible for a stack of 5 identical boxes to fit in a shelf of height 60 cm? Explain your answer.

2(a) Upper Limit of Box Height

The height of a box is measured to be 11 cm, correct to the nearest 0.5 cm. Find the upper limit of

The height of a box is measured to be 11 cm, correct to the nearest 0.5 cm. Find the upper limit of the height of the box.

1(b) Lower Limit of Total Capacity of 3 Milk Cartons

The capacity of a carton of milk is measured to be 1000 mL, correct to the nearest 10 mL. Find the l

The capacity of a carton of milk is measured to be 1000 mL, correct to the nearest 10 mL. Find the lower limit of the total capacity of 3 cartons of milk.

1(a) Lower Limit of Milk Carton Capacity

The capacity of a carton of milk is measured to be 1000 mL, correct to the nearest 10 mL. Find the l

The capacity of a carton of milk is measured to be 1000 mL, correct to the nearest 10 mL. Find the lower limit of the capacity of the carton of milk.

8(b) Upper Limit of Average Height

The heights of John, Joey, and Peter are measured to be 1.68 m, 1.63 m, and 1.64 m respectively, eac

The heights of John, Joey, and Peter are measured to be 1.68 m, 1.63 m, and 1.64 m respectively, each correct to 1 cm. Find the upper limit of the average height of John, Joey, and Peter.

8(a) Lower Limit of Average Height

The heights of John, Joey, and Peter are measured to be 1.68 m, 1.63 m, and 1.64 m respectively, eac

The heights of John, Joey, and Peter are measured to be 1.68 m, 1.63 m, and 1.64 m respectively, each correct to 1 cm. Find the lower limit of the average height of John, Joey, and Peter.

7(b) Range of Door Height

Desmond measures the height of a door as 200 cm with a percentage error of 0.5%. Find the range of t

Desmond measures the height of a door as 200 cm with a percentage error of 0.5%. Find the range of the actual height of the door.

7(a) Maximum Absolute Error of Door Height

Desmond measures the height of a door as 200 cm with a percentage error of 0.5%. Find the maximum ab

Desmond measures the height of a door as 200 cm with a percentage error of 0.5%. Find the maximum absolute error of the measurement.

percentage error

6(b) Percentage Error of Guitar Length

The length of a guitar is measured to be 115 cm, correct to the nearest 1 cm. Find the percentage er

The length of a guitar is measured to be 115 cm, correct to the nearest 1 cm. Find the percentage error of the measurement. Give your answer correct to 3 significant figures.

percentage error

6(a) Relative Error of Guitar Length

The length of a guitar is measured to be 115 cm, correct to the nearest 1 cm. Find the relative erro

The length of a guitar is measured to be 115 cm, correct to the nearest 1 cm. Find the relative error of the measurement.

5 Relative Error of Toy Weight

The weight of a toy is measured to be 150 g, correct to the nearest 5 g. Find the relative error of

The weight of a toy is measured to be 150 g, correct to the nearest 5 g. Find the relative error of the measurement.

4(b) Limits of One Book Height

There is a stack of five identical books. The height of the stack is measured to be 8.6 cm, correct

There is a stack of five identical books. The height of the stack is measured to be 8.6 cm, correct to the nearest 0.1 cm. Find the lower limit and upper limit of the height of one book.

4(a) Limits of Stack of Five Books

There is a stack of five identical books. The height of the stack is measured to be 8.6 cm, correct

There is a stack of five identical books. The height of the stack is measured to be 8.6 cm, correct to the nearest 0.1 cm. Find the lower limit and upper limit of the height of five books.

3 Range of Basketball Court Length

The length of the basketball court is measured to be 20 metres, correct to the nearest 0.1 metres. F

The length of the basketball court is measured to be 20 metres, correct to the nearest 0.1 metres. Find the range of the actual length of the basketball court.

2(b) Upper Limit of Carrot Weight

The weight of a piece of carrot is measured to be 140 g, correct to the nearest 10 grams. Find the u

The weight of a piece of carrot is measured to be 140 g, correct to the nearest 10 grams. Find the upper limit of the weight of the piece of carrot.

2(a) Lower Limit of Carrot Weight

The weight of a piece of carrot is measured to be 140 g, correct to the nearest 10 grams. Find the l

The weight of a piece of carrot is measured to be 140 g, correct to the nearest 10 grams. Find the lower limit of the weight of the piece of carrot.

1(c) Maximum Absolute Error - 1.25 L

Find the maximum absolute error of the measurement 1.25 L measured to the nearest 0.05 L.

Find the maximum absolute error of the measurement 1.25 L measured to the nearest 0.05 L.

1(b) Maximum Absolute Error - 270 g

Find the maximum absolute error of the measurement 270 g measured to the nearest 10 g.

Find the maximum absolute error of the measurement 270 g measured to the nearest 10 g.

1(a) Maximum Absolute Error - 8.2 cm

Find the maximum absolute error of the measurement 8.2 cm measured to the nearest 0.1 cm.

Find the maximum absolute error of the measurement 8.2 cm measured to the nearest 0.1 cm.

7 Round 1/(√π - 3.14) to 3 Significant Figures

Round off \\(\\frac{1}{\\sqrt{\\pi} - 3.14}\\) correct to 3 significant figures.

Round off \\(\\frac{1}{\\sqrt{\\pi} - 3.14}\\) correct to 3 significant figures.

significant figures

6 Lowest Number Rounding to 0.000732

Write down the lowest number that would round up to 0.000732 correct to 3 significant figures.

Write down the lowest number that would round up to 0.000732 correct to 3 significant figures.

significant figures

5 Average Daily Rainfall in Hong Kong

The total rainfall of Hong Kong in August was 350.5 mm. Find the average daily rainfall of Hong Kong

The total rainfall of Hong Kong in August was 350.5 mm. Find the average daily rainfall of Hong Kong in August. Give your answer correct to 3 significant figures.

significant figures

4(d) Calculate π²/(11.7 × 12.3 + 13.5) to 3 Significant Figures

Calculate \\(\\frac{\\pi^2}{11.7 \\times 12.3 + 13.5}\\) using a calculator. Give your answer correc

Calculate \\(\\frac{\\pi^2}{11.7 \\times 12.3 + 13.5}\\) using a calculator. Give your answer correct to 3 significant figures.

significant figures

4(c) Calculate 1/127 - 1/128 to 3 Significant Figures

Calculate \\(\\frac{1}{127} - \\frac{1}{128}\\) using a calculator. Give your answer correct to 3 si

Calculate \\(\\frac{1}{127} - \\frac{1}{128}\\) using a calculator. Give your answer correct to 3 significant figures.

significant figures

4(b) Calculate 1.1423 × (3.7208 - 2.1109) to 3 Significant Figures

Calculate 1.1423 \\times (3.7208 - 2.1109) using a calculator. Give your answer correct to 3 signifi

Calculate 1.1423 \\times (3.7208 - 2.1109) using a calculator. Give your answer correct to 3 significant figures.

significant figures

4(a) Calculate 13.723 + 8.451 - 2.765 to 3 Significant Figures

Calculate 13.723 + 8.451 - 2.765 using a calculator. Give your answer correct to 3 significant figur

Calculate 13.723 + 8.451 - 2.765 using a calculator. Give your answer correct to 3 significant figures.

significant figures

3(c) Round 0.00099987 to 3 Significant Figures

Round off 0.00099987 to 3 significant figures.

Round off 0.00099987 to 3 significant figures.

significant figures

3(b) Round 0.0726689 to 4 Significant Figures

Round down 0.0726689 to 4 significant figures.

Round down 0.0726689 to 4 significant figures.

significant figures

3(a) Round 0.004156823 to 5 Significant Figures

Round up 0.004156823 to 5 significant figures.

Round up 0.004156823 to 5 significant figures.

significant figures

2(c) Round 45.67188 to 5 Significant Figures

Round off 45.67188 to 5 significant figures.

Round off 45.67188 to 5 significant figures.

significant figures

2(b) Round 8754000 to 2 Significant Figures

Round up 8754000 to 2 significant figures.

Round up 8754000 to 2 significant figures.

significant figures

2(a) Round 12.8784 to 3 Significant Figures

Round down 12.8784 to 3 significant figures.

Round down 12.8784 to 3 significant figures.

significant figures

1(c) Significant Figures - Count 0.0005486

Write down the number of significant figures of 0.0005486.

Write down the number of significant figures of 0.0005486.

significant figures

1(b) Significant Figures - Count 3741.28

Write down the number of significant figures of 3741.28.

Write down the number of significant figures of 3741.28.

significant figures

1(a) Significant Figures - Count 15.372

Write down the number of significant figures of 15.372.

Write down the number of significant figures of 15.372.

significant figures