How many centimetres are there in 2.9 metres?

Which of these is the **net** of a **cube**?

Which of these fractions is **not** equivalent to

Simplify 4π β (π β 7)

Complete the table.

Minutes | Hours |

15 | |

40 | |

1 |

Here are some numbers.

10.4 12.6 15.6 8.6 13.4 17.4

Write the numbers in pairs so that the **sum** of the numbers in each pair is the same.

This triangle is drawn accurately.

What type of triangle is it?

Tick **all** correct boxes.

Which two properties does the number 9 have?

Circle the correct letters.

^{2})

Can one number have **all** of the properties?

Tick a box.

Write down a number that has properties B, D and E.

Chris has five coins in his pocket.

If he picks four of the coins

the most he could pick is Β£5.20

the least he could pick is Β£3.30

How much money does he have altogether?

Here are three expressions.

*a* β *b*
*ab*

When π = β2 and π = 8 which expression has the smallest value and what is its value?

The table shows the ratio of teachers to children needed for two activities.

teachers | : | children | |

Climbing | 1 | : | 3 |

Walking | 1 | : | 11 |

There are 7 teachers to take children climbing.

What is the greatest number of children that can go climbing?

49 children want to go walking.

What is the smallest number of teachers needed?

Shape *S* is a rectangle.

A smaller shape is cut from *S* to form shape *C*.

Which one of these statements is true?

Tick a box.

*S*is

**longer than**the perimeter of

*C*

*S*is the

**same as**the perimeter of

*C*

*S*is

**shorter than**the perimeter of

*C*

**not**possible to tell which perimeter is longer

Textbooks are stored on two shelves.

Each shelf is 0.84 metres long.

Each textbook is 30 millimetres wide.

What is the total width in metres of the 60 textbooks?

Can 60 textbooks be stored on these two shelves?

All tickets for a concert are the same price.

Amy and Dan pay Β£63 altogether for some tickets.

Amy pays Β£40.50 for 9 tickets.

How many tickets does Dan buy?

Here is the graph of π¦ = 4 β π₯ for values of *x* from 0 to 4.

On the same grid, consider the position of the graph of π¦ = π₯ β 2 for values

of *x* from 2 to 5 and hence solve the simultaneous equations

π¦ = 4 β π₯ and π¦ = π₯ β 2

*x*=

*y*=

*x*= 3 and

*y*= 1 (you can check these answers by substituting into the two equations: when 𝑥 = 3, 𝑦 = 4 − 𝑥 = 4 − 3 = 1 and 𝑦 = 𝑥 − 2 = 3 − 2 = 1)

The table shows the sales of food and drink for three days at a cafΓ©.

Day | Sales of food (Β£) | Sales of drink (Β£) |

Friday | 35 | 15 |

Saturday | 24 | 44 |

Sunday | 30 | 33 |

Hannah uses this information to draw a composite bar chart.

Now answer these questions about the composite bar chart.

Friday:

Is there a mistake in the FOOD bar?

Is there a mistake in the DRINK bar?

Saturday:

Is there a mistake in the FOOD bar?

Is there a mistake in the DRINK bar?

Sunday:

Is there a mistake in the FOOD bar?

Is there a mistake in the DRINK bar?

Lisa wants to buy a laptop for Β£345.

She has already saved Β£115.

Each week

her pay is Β£120

she saves 25% of this pay.

For how many **more** weeks must she save?

*x* and *y* are whole numbers.

π₯ > 50

π¦ < 20

Work out the **smallest** possible value of π₯ β π¦

*x*β largest

*y*= 51 β 19 = 32

*x* and *y* are whole numbers.

π₯ ≥ 60

π¦ > 50

Work out the **smallest** possible value of π¦ + π₯

*x*+ smallest

*y*= 60 + 51 = 111

Work out 3.4 Γ 0.003

Work out 4.7 Γ 10^{β3}

^{β3}=

Write 347 200 in standard form.

^{}

^{5}

The diagram shows information about the scores of Year 5 students in a spelling test.

A student is chosen at random from Year 5.

Work out the probability that the studentβs score was the **mode** for Year 5.

The diagram shows information about the scores of Year 6 students in the same test.

Do the Year 6 students have more **consistent** scores than the Year 5 students.

Laura is one of the 45 students in Year 6.

Her score was the same as the **median** score for her year.

Work out her score.

^{rd}when in order; there are 16 with scores 4, 5 and 6 so the median is in the group scoring 7.

Kelly is trying to work out the two values of *x*
for which 2*x*^{2} β *x*^{3} = 0

Her values are 2 and β2

Are her two values correct?

If incorrect, find the correct value.

*x*=

^{2}β π₯

^{3}= 2 Γ π₯

^{2}β π₯ Γ π₯

^{2}= (2 β π₯)π₯

^{2}= 0 when (2 β x) = 0 or π₯

^{2}= 0; so π₯ = 2 or π₯ = 0

The diagram shows a semicircle of radius 8 cm.

Work out the area of the semicircle.

Give your answer in terms of π.

^{2}so area of semicircle =

^{2}=

Work out 3

Give your answer as a mixed number in its simplest form.

Solve 3π₯ β 4 β€ 16 β π₯

*x*≤

The *n*th term of a sequence is 3*n* + 2

The *n*th term of a different sequence is 4*n* β 3

Work out the two numbers that are

in both sequences

and

between 10 and 30

**11, 14, 17, 20, 23, 26, 29**. The second sequence is 1, 5, 9, 13, 17, 21, 25, 29 so between 10 and 30, we have

**13, 17, 21, 25, 29**. Numbers common to these two sequences and 17 and 29.

White paint costs Β£2.60 per litre.

Blue paint costs Β£3.20 per litre.

White and blue paint are mixed in the ratio 3 : 2.

Work out the cost of 20 litres of the mixture.

Here is the sketch of a triangle.

Distances are given to 3 decimal places.

Circle the value of cos 65Β° to 3 decimal places.

Work out the value of *x*.

Give your answer to 2 decimal places.

*ABCH* is a square.

*HCFG* is a rectangle.

*CDEF* is a square.

They are joined to make an L-shape.

The total area of the L-shape, in cm^{2}, is of the form
*ax*^{2} + *bx* + *c* where *a*, *b* and *c* are numbers.

What are the values of *a*, *b* and *c* ?

*a*=

*b*=

*c*=

*ABCH*+

*HCFG*+

*CDEF*= (𝑥 + 2)

^{2}+ 2(𝑥 + 2) + 4 = 𝑥

^{2}+ 4𝑥 + 4 + 2𝑥 + 4 + 4 = 𝑥

^{2}+ 6𝑥 + 12; hence 𝑎 = 1, 𝑏 = 6, 𝑐 = 12