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Put these expressions in order, from smallest to largest.

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If the base and height of a triangle are increased by different percentages, what happens to its area?

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6 tiles are placed in a row. What is the probability that no two adjacent tiles have the same letter on them?

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A square has area 72 cm$^2$. Find the length of its diagonal.

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Work your way through these right-angled triangles to find $x$.

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What is the ratio of the areas of the squares in the diagram?

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Can you work out the radius of a circle from some information about a chord?

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Can you find Dolly Dolphin's average speed as she swims with and against the current?

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There are 20 black socks and some white socks in a drawer. Can you work out how many of the socks are white?

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Find the missing distance in this diagram with two isosceles triangles

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What is the largest that the mean of these numbers could be?

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A palm tree has snapped in a storm. What is the height of the piece that is still standing?

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A circle of radius 1 is inscribed in a regular hexagon. What is the perimeter of the hexagon?

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What will the scale on this map be after it has been photocopied?

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Can you find the radius of the circle inscribed inside a '3-4-5 triangle'?

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Kevin has moved some tiles to change the shape of his patio from a square to a rectangle. What are the lengths of the sides of the rectangle?

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How many barleycorns are there in one inch?

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Yesterday, at Ulaanbaatar market, a white elephant cost the same amount as 99 wild geese. How many wild geese cost the same amount as a white elephant today?

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If some of the audience fell asleep for some of this talk, what was the average proportion of the talk that people heard?

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What average speed should Ms Fanthorpe drive at to arrive at work on time?

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Can you find the value of this expression, which contains infinitely nested square roots?

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What is the largest number of intersection points that a triangle and a quadrilateral can have?

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Find the value of $m$ from these statements about a group of numbers

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How much of the inside of this triangular prism can Clare paint using a cylindrical roller?

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Use the information about the triangles on this graph to find the coordinates of the point where they touch.

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Two trains started simultaneously, each travelling towards the other. How long did each train need to complete the journey?

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Can you find the perimeter of the pentagon formed when this rectangle of paper is folded?

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Two ribbons are laid over each other so that they cross. Can you find the area of the overlap?

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Can you find the total number of students in the school, given some information about ratios?

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A triangle of area 64 square units is drawn inside the parabola $y=k^2-x^2$. Find the value of $k$.

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What power of 27 is needed to get the correct power of 3?

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What are the possible lengths for the third side of this right-angled triangle?

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If the numbers in this news article have been estimated, then what is the largest number of gorillas that there could have been 10 years ago?

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The top square has been rotated so that the squares meet at a 60$^\text{o}$ angle. What is the area of the overlap?

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On which of the hare's laps will she first pass the tortoise?

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Can you find the radius of the larger circle in the diagram?

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How much money did the pensioner have before being robbed?

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Can you find the gradients of the lines that form a triangle?

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From the information given, can you work out how long Roberto drove for after putting petrol in his car?

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The area of the small square is $\frac13$ of the area of the large square. What is $\frac xy$?

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What percentage of students who graduate have never been to France?

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Can you find the length and width of the screen of this smartphone in inches?

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If you take a number and add its square to its cube, how often will you get a perfect square?