Here are seven numbers

11 6 12 7 8 4 8

What is the range of the seven numbers.

What is the mode of the seven numbers.

Which shape has exactly **one** line of symmetry **and** its diagonals intersecting at 90°

Which of these is a cube number?

Liz buys a car for £6500.

She pays a deposit of £1300

She pays the rest in 26 equal monthly payments.

Work out the amount of each monthly payment.

120 men and 80 women were asked if they drive to work.

Altogether

What fraction of the women said yes?

Boxes A, B, C and D contain balls with numbers on them.

A ball is picked at random from each box.

Which box gives the **greatest** chance of picking a 2 ?

Which two boxes give the **same** chance of picking a 2 ?

Zayn records his weekly sales.

Every week his costs are £75.50

What is his profit in Week 1.

£His sales in Week 4 were half of his sales in Week 1.

Zayn says,

“This means that my profit in Week 4 was half of my profit in Week 1.”

What is the value of 3𝑥 − 5𝑦 when 𝑥 = 3 and 𝑦 = −2 ?

The points (−2, −1) and (2, 3) are the diagonally opposite corners of a square.

What are the coordinates of the other **two** corners of the square.

In an experiment, different masses are hung on a spring.

The length of the spring is measured for each mass.

Mass (g) | 10 | 20 | 30 | 40 |

Length (cm) | 20.8 | 21.6 | 22.4 | 23.2 |

Draw a graph to show the length of the spring for masses from 10 g to 40 g and estimate the length of the spring with no mass hung from it.

From your graph, estimate how much longer is the spring with a mass of 35 g than with a 15 g mass.

A sequence of patterns uses grey squares and white squares.

Here are the first four patterns.

What is the **total** number of squares in pattern 100.

Complete this number machine for the sequence of patterns.

In Scotland, squirrels are red or grey in the ratio red : grey = 1 : 2

What fraction of the squirrels in Scotland are red?

In Scotland, there are estimated to be 150 000 red squirrels.

Estimate how many squirrels there are altogether in Scotland.

Hayley and Tom have £2000 to spend on food at their wedding.

Here are their two options.

Wonderful Weddings!

Normal price | £30 per person |

Special offer:

10% off normal price

Kim the Caterer

Number of people | Price per person |

100 & over | £22.00 |

80 to 99 | £25.00 |

60 to 79 | £28.00 |

Up to 59 | £30.00 |

What is the **maximum** number of people they can pay for.

With “wonderful weddings”, number of people = 74.

For “Kim”, 2000 ÷ 25 = 80 so number of people = 80 and this is the maximum

(Note that with Kim’s pricing the price for 72 up to 79 would cost more than £2000)

Solve 3(𝑥 + 6) = 14

*x*=

The mass of 40 cm^{3} of copper is 356 grams.

Work out the mass of 70cm^{3} of copper.

^{3}has mass 356 grams, then 1 cm

^{3}has mass 356 ÷ 40 and 70 cm

^{3}has mass 70 × (356 ÷ 40) = 623 grams

24 boys, 45 girls and 281 adults are the members of a badminton club.

50 more children join the club.

The number of boys is **now** 12% of the total number of members.

How many of the 50 children were **boys**?

Total number of boys = 12% of 400 =

The table shows information about the marks of 31 students in a test with 20 marks available.

Mark | Frequency |

20 | 0 |

19 | 1 |

18 | 1 |

17 | 3 |

16 | 2 |

15 | 7 |

14 | 8 |

13 | 5 |

12 | 3 |

11 | 0 |

10 | 1 |

Less than 10 | 0 |

Students who scored less than the median mark have to retake the test.

How many students have to retake the test?

The number of students with a mark of less than 15 is 5 + 3 + 0 + 1 + 0 = 9

Work out the square root of 10 000 million.

**a** = **b** =

Circle the vector **a** − **b**

Circle the decimal that is closest in value to

When *x*^{2} = 25 the **only** value that *x* can be is 5

Is this true or false?

In 1999 the minimum wage for adults was £3.60 per hour.

In 2016 it was £7.50 per hour.

Work out the percentage increase in the minimum wage from 1999 to 2016.

Give your answer
to 2 significant figures.

The line AB, 4 cm long, is shown below.

Which option shows the locus of a point that is always 1 cm away from the line AB?

Use your calculator to work out 9.56^{2} −

Write down the answer to 8 significant figures.

Write down a calculation to give an approximate value of the expression above of the form that could be computed without a calculator.

*a*^{2} − *c*

Also note that the BODMAS convention means that you do the division first before the subtraction.

Three cups, A, B and C, contain only fruit juice and water.

The different mixtures are

**A** juice : water = 3 : 20

**B** juice =

**C** juice = 12.25%

Which cup has the greatest proportion of juice?

*y* is directly proportional to *x*.

Which graph shows this?

A bag contains counters that are red, blue, green or yellow.

red | blue | green | yellow | |

Number of counters | 7 | 3x | x − 3 | 2x |

A counter is chosen at random.

The probability it is **red** is

Work out the probability it is green.

The pressure at sea level is 101 325 Pascals.

Any rise of 1 km above sea level decreases the pressure by 14%

For example,

at 3 km above sea level the pressure is 14% less than at 2 km

Work out the pressure at 5 km above sea level.

Give your answer to 2 significant figures.

^{5}= 47666.017 so to 2 significant places, answer is 48 000

*ABC* is a triangle with *AB* = *AC*
*BA* is parallel to *CD*.

Find angle *x*.

*x*=

*x*= 40°