Math Problem Set

Anastasia chooses a number with exactly two decimal places. She rounds it to the nearest tenth. Her answer is 7.0. Write a number that Anastasia could choose.

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Answer explanation

Any two decimal number between 6.95 and 7.04 inclusive.

Carlos rolls a fair six-sided die numbered 1 to 6. Tick (✔) to show if the pairs of outcomes are mutually exclusive.

• Roll a number that is divisible by 2

  and

  Roll a number that is divisible by 3

• Roll a number that is divisible by 2

  and

  Roll a number that is a multiple of 5

• Roll a number that is divisible by 2

  and

  Roll a number that is a multiple of 4

• Roll a number that is divisible by 2

  and

  Roll a square number

Ahmed estimates that it will take 1½ hours to travel to his grandparents’ house. His journey takes 1.7 hours. Work out, in minutes, how much longer his journey takes than his estimate.

Rajiv writes the sequence of square numbers. He adds 5 to each square number to make a new sequence. Here are the first three terms of his new sequence. 6, 9, 14,... Write the 6th term of his new sequence.

Five children each score a mark on a spelling test. Mode, median and mean are all types of average.

Child 1: The average of our marks is 7.

Child 2: The median of our marks is 8.

Child 3: The mode of our marks is 9.

Child 4: The total of our marks is 35.

Child 5: The lowest mark is 2.

All five children are correct.

Write the five marks the children score.

Mia writes a sequence by adding a whole number to the previous term. 10, ____, ____, ____, 30. Find out the missing terms.

Here are four calculations. Choose the calculation with an answer of −20.

• 24-4

• -24+4

• 24+4

• -24-4

Naomi counts back from 25 in 7s.

25, 18, 11,.......

Write the number in the sequence that is closest to −15.

In the number 14.123 the 3 represents three ______.

Lily chooses two different prime numbers.

Each number is less than 20. One number has 2 digits.

She adds her numbers together. The answer is a prime number.

Write two different numbers Lily could choose.