Maths practice for 12-year-olds - page 4 of 351

Number of problems found: 7001

Mowing lawn
Tara is mowing her lawn. She mows 3/5 of her 925-square-metre lawn before stopping to chat with a neighbour. How many square metres does Tara have left to mow?
A hill
Juan is walking up a hill at 130 3/4 feet above sea level when he kicks a pebble. If the pebble falls to the base of the hill, which is 18.5 feet below sea level, what is the vertical distance that the pebble fell?
The track 3
Patra runs around the track at school while training for a race. Each lap is 1/4 of a mile. On Wednesday she runs 9 laps. How far did she run?
Quarter of 60 grams
For a science experiment, students need to find 25% of 60 grams. John says, "I can find this by calculating 1/4 of 60." Andre says, "25% of 60 means 25/100 times 60." Do you agree with either of them? Show your reasoning.
Apples 31
Tim picked 1 1/10 buckets of apples, and Sally picked 2 1/8 buckets of apples. How many more buckets did Sally pick than Tim?
Prism - base and height
Find the volume of a prism if the base area equals 20 in² and the height is 12 inches.
Divide by mixed number
Solve and write the answer in simplest form. 1/6 ÷ 1 2/3
Subtraction equation
What should be subtracted from −3/5 to get −2/3?
Fractions - minus
What is the difference? Use estimation to justify your thinking. 11/12 − 1/3 − 1/6
Largest circle
If the largest possible circle is cut from an 8 cm × 4 cm rectangle, what is the area in cm² of the remaining portion?
Subtract 27
Subtract these mixed fractions: 7 2/3 and 3 1/9.
The remainder 3
The remainder is 31 when dividing a number by 45. What would the remainder be if the same number were divided by 15?
The product 17
The product of two fractions is 7/15, and one of the fractions is 7/9. What is the other fraction?
Sarah 7
Sarah bought snacks for her team's practice. She bought a bag of chips for $1.56 and a 20-pack of juice bottles. The total cost before tax was $33.96. Write and solve an equation to determine how much each bottle of juice cost.
Expression - two variables
The formula with two variables is given: y = 5x + 38. Solve for x.
Two cubes 2
Two cubes, each with a volume of 125 cm³, are joined end to end. Find the surface area of the resulting cuboid.
Decimal to fraction
What is 0.99 expressed as a fraction?
Repeating to infinity
How do I express 0.99999999… as a fraction? (nine repeating) Additional questions: Can you write 0.9999… repeating as a fraction? How do you convert 0.9 repeating into a fraction?
Mixed plus proper fraction
1½ + 1/3 = ?
Two trains 15
A train travelling at 50 km/h leaves Delhi at 8 AM and another train travelling at 70 km/h leaves Delhi at 11 AM in the same direction. How many km from Delhi will they be when the faster train catches the slower one?

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