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GCSE Higher Paper 2

Interactive practice questions

A die is rolled $60$60 times and the results are recorded in the following table:

Number Frequency
$1$1 $10$10
$2$2 $12$12
$3$3 $8$8
$4$4 $10$10
$5$5 $8$8
$6$6 $12$12
a

What is the experimental probability of rolling a $6$6 with this die?

Express your answer in simplest form.

b

What is the experimental probability of rolling a $3$3 or higher with this die?

Express your answer in simplest form.

c

What is the experimental probability of rolling a $3$3 or lower with this die? Express your answer in simplified form.

Easy
2min

Deborah purchased a bag of lollies from the corner store. As she was walking home, she ate $\frac{1}{4}$14 of the lollies. When she got home, she gave $\frac{1}{2}$12 of what was left to her daughter. There were then nine lollies left in the bag.

Solve for $n$n, the number of lollies originally in the bag.

Easy
3min

There are two celebration dinners happening at Happy Mo's Restaurant. Each has $6$6 men at the table. At Beth’s birthday table there is a ratio of men to women of $1:3$1:3. At Buzz’s table the ratio is $3:1$3:1.

We want to find out what the ratio of men to women will be if the two celebration dinners join together.

Easy
3min

Consider the following diagram of a solid.

Easy
< 1min
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