Circle the calculation that increases 400 by 7%

Simplify
3^{4} × 3^{4}

Circle the answer.

^{8}

^{8}

^{16}

^{16}

Circle the area that is the same as 5.5 m^{2}

^{2}

^{2}

^{2}

^{2}

One of these graphs is a sketch of *y* = 1 − 2*x*
Which one?

Select the correct letter.

The scatter graph shows the age and the price of 18 cars.

The cars are all the same make and model.

Use a line of best fit to estimate the price of a 6-year old car.

Kelly is trying to work out the two values of *w* for which
3*w* − *w*^{3} = 2

Her values are
1 and −1

Are her values correct?

Work out

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

Solve
5*x* – 2 > 3*x* + 11

*x*

The *n*th term of a sequence is 2*n* + 1

The *n*th term of a different sequence is 3*n* − 1

Work out the **three** numbers that are

in both sequences

and

between 20 and 40

White paint costs £2.80 per litre.

Blue paint costs £3.50 per litre.

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

Work out the cost of 18 litres of the mixture.

Students in a class took a spelling test.

The diagram shows information about the scores.

Lucy is one of the 29 students in the class.

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

Work out her score.

*ABCH* is a square.

*HCFG* is a rectangle.

*CDEF* is a square.

They are joined to make an L-shape.

Show that the total area of the L-shape, in cm^{2}, is
of the from *ax*^{2} + *bx* + *c* and give the values of *a*, *b*, and *c*

*a* =

*b* =

*c* =

Here are sketches of four triangles.

In each triangle

the longest side is **exactly** 1 cm

the other length is given to 2 decimal places.

Circle the value of cos 50° to 2 decimal places.

Work out the value of *x*.

Give your answer to 1 decimal place.

*x*=

A prime number between 300 and 450 is chosen at random. The table shows the probability that the number lies in different ranges.

Prime number, n | Probability |

300 ≤ n < 330 | 0.16 |

330 ≤ n < 360 | 0.24 |

360 ≤ n < 390 | x |

390 ≤ n < 420 | 0.16 |

420 ≤ n < 450 | 0.24 |

Work out the value of *x*.

Work out the probability that the prime number is greater than 390

p =
There are four prime numbers between 300 and 330

How many prime numbers are there between 300 and 450?

*a* × 10^{4} + *a* × 10^{2} = 24 240 where *a* is a number.

Work out
*a* × 10^{4} − *a* × 10^{2}

Give your answer in standard form.

^{}

*AB*, *CD* and *YZ* are straight lines.

All angles are in degrees.

Find the value of *x*.

*x*=

Which of these options is true:

*AB*is not parallel to

*CD*

*AB*is parallel to

*CD*

*AB*is parallel or not parallel to

*CD*

To complete a task in 15 days a company needs

4 people each working for 8 hours per day.

The company decides to have

5 people each working for 6 hours per day.

Assume that each person works at the same rate.

How many days will the task take to complete?

In this question all dimensions are in centimetres.

A solid has uniform cross section.

The cross section is a rectangle and a semicircle joined together.

Work out an expression, in cm^{3}, for the **total** volume of the solid.

Write your expression in the form
*ax*^{3} + *x*^{3}
where *a* and *b* are integers.

*x*

^{3}+

*πx*

^{3}

Show that
12 cos 30° − 2 tan 60°
can be written in the form *k* is an integer.

What is the value of *k*?

*k*=

On Friday, Greg takes part in a long jump competition.

He has to jump at least 7.5 metres to qualify for the final on Saturday.

He has up to three jumps to qualify.

If he jumps at least 7.5 metres he does **not** jump again on Friday.

Each time Greg jumps, the probability he jumps at least 7.5 metres is 0.8

Assume each jump is independent.

Complete the tree diagram.

Work out the probability that he does **not** need the third jump to qualify.

*A*, *B* and *C* are points on a circle.

*BC* bisects angle *ABQ*.

*PBQ* is a tangent to the circle.

Angle *CBQ* = *x*

What is the value of angle *ACB* in terms of *x*?

*ACB*=

Steph is solving a problem.

Cube A has a surface area of 150 cm^{2}

Cube B has sides half the length of cube A

What is the volume of cube B?

^{3}

Square *OABC* is drawn on a centimetre grid.

*O*is (0, 0)

*A*is (2, 0)

*B*is (2, 2)

*C*is (0, 2)

*OABC* is translated by the vector

Circle the number of invariant points on the perimeter of the square.

*OABC* is enlarged, scale factor 2, centre (0, 0)

Circle the number of invariant points on the perimeter of the square.

*OABC* is reflected in the line *y* = *x*

Circle the number of invariant points on the perimeter of the square.

Here is the velocity-time graph of a car for 50 seconds.

Work out the average acceleration during the 50 seconds.

Give the units of your answer.

Estimate the time during the 50 seconds when

the instantaneous acceleration = the average acceleration

*f*(*x*) = 2*x* + *c*

*g*(*x*) = *cx* + 5

*fg*(*x*) = 6*x* + *d*

*c* and *d* are constants.

Work out the value of *d*.

*d*=

Rationalise the denominator and simplify

Convert 0.172 to a fraction in its lowest terms.

The diagram shows the circle
*x*^{2} + *y*^{2} = 10

*P* lies on the circle and has *x*-coordinate 1

The tangent at *P* intersects the *x*-axis at *Q*.

Work out the coordinates of *Q*.