A 4×4 puzzle grid featuring summer symbols. Each symbol — umbrella, sandals, glasses, or sun — represents a prime number. Each row has a total shown on the right, and each column has a total shown beneath it. Rows (top to bottom, left to right): Row 1: Umbrella, Sandals, Glasses, Sandals. Row total: 282. Row 2: Umbrella, Sandals, Sun, Glasses. Row total: 290. Row 3: Sun, Sandals, Sun, Sun. Row total: 308. Row 4: Glasses, Umbrella, Glasses, Sun. Row total: 292 Columns (top to bottom using the first image in each row): Column 1: Row 1 Umbrella → Row 2 Umbrella → Row 3 Sun → Row 4 Glasses. Column total: 286. Column 2: Row 1 Sandals → Row 2 Sandals → Row 3 Sandals → Row 4 Umbrella. Column total: 280. Column 3: Row 1 Glasses → Row 2 Sun → Row 3 Sun → Row 4 Glasses. Column total: 304 Column 4: Row 1 Sandals → Row 2 Glasses → Row 3 Sun → Row 4 Sun. Column total: 302.

Continuing with the prime theme, here is today's summer inspired #OCRMathsPuzzle.

Each summer symbol in the grid below represents a prime number.
The sum of each row and the sum of each column are given.
Work out the value of each summer symbol.

#UKMathsChat #MathsToday
@cambridgeocr.bsky.social

Arrange the first 16 prime numbers in the grid below (one per cell), so that the sum of each row and the sum of each column equal the given totals. Row Sums: top to bottom 84, 105, 110, 82. Column Sums: left to right 92, 109, 100, 80.

Happy Friday 13th.
Here is today's #OCRMathsPuzzle

Arrange the first 16 prime numbers in the grid below (one per cell), so that the sum of each row and the sum of each column equal the given totals.

#MathsToday #UKMathsChat #RecreationalMath
#Arithmetic #PrimeNumbers
@cambridgeocr.bsky.social

The arrangement of squares is as follows: Taking point A as the origin, with the squares building upwards from the first row. 2 squares on row 1, where A is the bottom left corner of first square. 2 squares on row 2, starting above the 2nd square of row 1. Point B is the bottom right corner of the 2nd square of row 2. 1 square on the row 3, above the 2nd square of row 2. 3 squares on row 4, with the middle square above the square of row 3. 1 square on row 5, above the 1st square of row 4. Point C is the top right corner of the top square.

Here is today's #OCRMathsPuzzle.

Several square blue tiles with side length 2 m are arranged as shown below.
Points A, B and C are marked on vertices of the tiles.

What is the area of the triangle ABC?

#UKMathsChat #MathsToday #RecreationalMath
@cambridgeocr.bsky.social

The diagram shows rectangle PQRS and equilateral triangle QST. Rectangle PQRS has height PS = 5 cm and length PQ = 12 cm. SR and QT intersect at point A. What is the area of triangle AST?

Here's our #OCRMathsPuzzle for today.

The diagram shows rectangle PQRS and equilateral triangle QST.
Rectangle PQRS has height PS = 5 cm and length PQ = 12 cm.
SR and QT intersect at point A.
What is the area of triangle AST?

#MathsToday #UKMathsChat #RecreationalMath
@cambridgeocr.bsky.social

The diagram shows a circle, radius r. A and B are points on circle’s circumference, where the length AB is equal to r. Tangents at points A and B meet at point C. Calculate the exact area enclosed by the circle and the tangents in terms of r.

Here's our final #OCRMathsPuzzle for the half term.

Find the area enclosed by the circle and tangents in the diagram below.

#UKMathsChat #MathsToday #MathSky #iTeachMath #RecreationalMath #GCSEMaths #ALevelMaths #FSMQ
#Area #Circles #Tangents #Triangles #ProblemSolving
@cambridgeocr.bsky.social

Place 9 of the 10 digits from 0-9 in the empty boxes (1 per box), so that the algebraic equation and its solution are correct. How many possible ways can you find. two digit boxes y plus two digit boxes equals three digit boxes. y equals two digit boxes. ( a two digit number multiplied by y plus a two digit number equals a three digit number, where y equals a two digit number. The nine digits used are all different)

First February #OCRMathsPuzzle for your enjoyment.

Place 9 of the 10 digits from 0-9 in the empty boxes below (1 digit per box), so that the algebraic equation and its solution are correct.​

How many possible ways can you find? ​

#MathsToday #UKMathsChat #GCSEMaths
@cambridgeocr.bsky.social

Place a different Fibonacci number in each of the 3 by 3 cells so that the sum of each row and the sum of each column equal the given results. Top row equals 398, middle row equals 657 and bottom row equals 521. Left column equals 322, middle column equals 720 and right column equals 534. The Fibonacci sequence begins 1, 1, 2, 3, 5, 8, 13 ... and the Fibonacci rule is Fn = Fn-1 + Fn-2

Happy Friday #OCRMathsPuzzle.

Place a different #Fibonacci number in each of the green cells of the grid below, so that the sum of each row & the sum of each column equal the given results.

1, 1, 2, 3, 5, 8, 13, ...

#Sequences #Arithmetic #UKMathsChat #GCSE #ALevelMaths
@cambridgeocr.bsky.social

Diagram shows an overlapping square and circle on a graph: Centre of circle is at the origin (0,0), The side lengths of the square are equal to the diameter of the circle. Find the exact area of the shaded region of the diagram. The points of intersection are at (-3,4), (-3,-4) and (3,-4). The region of the square that is shaded is outside of the circle. The region of the circle that is shaded is outside the square.

Here's our Friday #OCRMathsPuzzle.

Find the exact area of the shaded region of the diagram.

The shaded region of the square is outside of the circle. The 2 shaded regions of the circle are outside the square.

#UKMathsChat #MathsToday #Geometry #RecreationalMath
@cambridgeocr.bsky.social

3 by 3 Addition grid. Sum of top row is 359, sum of middle row is 331 and sum of bottom row is 379. Sum of left column is 353, sum of middle column is 349 and sum of right column is 367. Place a different prime number in each of the nine cells of the 3 by 3 addition grid, so that the sum of each row and the sum of each column equal the given prime results.

Here's this weeks #OCRMathsPuzzle.

Place a different prime number in each of the green cells of the grid below, so that the sum of each row and the sum of each column equal the given prime results.

#UKMathsChat #MathsToday #RecreationalMath
#PrimeNumbers #MathsSky

@cambridgeocr.bsky.social

Image as described in text.

Hope the term has started well.

Here is this week's #OCRMathsPuzzle

A shape is constructed from a regular hexagon with semi-circles on each edge.

The width of the hexagon, PQ in the image, is 12 cm.

Find the exact area of the full shape.

#UKMathsChat #MathsToday

@cambridgeocr.bsky.social

image as described in text

Happy New Year 🍾

Our first #OCRMathspuzzle of 2026 is below👇

Using each of the digits 1 to 9 once, create a calculation with a total of 2026.

Use whichever operations you wish. How many unique solutions can you find?

Have an amazing 2026!

#MathsToday #UKMathsChat
@cambridgeocr.bsky.social

Labelling the snowflakes of the boxes in the top row A, B and C. Labelling the snowflakes of the boxes in the middle row D, E and F. Labelling the snowflakes of the boxes in the bottom row G, H and I. The boxes A + B + D + E = 105 for the top left Christmas wreath. The boxes B + C + E + F = 95 for the top right Christmas wreath. The boxes D + E + G + H = 106 for the bottom left Christmas wreath. The boxes E + F + H + I = 75 for the bottom right Christmas wreath.

Our final 2025 festive #OCRMathspuzzle for you. ❄️

Replace each snowflake in the boxes below with one of the square numbers from 1 to 81, so that each Christmas wreath contains the sum of the numbers in its four adjacent boxes.

#MathsToday #UKMathsChat #RecreationalMath
@cambridgeocr.bsky.social

The image shows a Christmas tree with baubles arranged in a triangular pattern with one bauble at each corner and three baubles along each side. The challenge is to arrange the twelve baubles that have been numbered five to sixty in the five times table so that the sum of the five baubles on each edge add to the same total.

Here's our second festive #OCRMathspuzzle for 2025.🎄

Write each of the multiples of five from 5 to 60 into the baubles on the tree, so that the five baubles along each edge all sum to the same total.

#UKMathsChat #MathsToday #RecreationalMath
#Arithmetic

@cambridgeocr.bsky.social

The festive symbols across each row and the totals. Row 1: bells, tree, wreath, holly 120. Row 2: wreath, bells, bells, tree 134. Row 3: holly, bells, holly, wreath 114. Row 4: wreath, tree, tree, holly 112. The festive symbols down each column. Column 1 bells, wreath, holly, wreath 122. Column 2: tree, bells, bells, tree 132. Column 3: wreath, bells, holly, tree 120. Column 4: holly, tree, wreath, holly 106.Each festive symbol in the grid represents a prime number. The sum of each row and the sum of each column are given. Work out the value of each festive symbol.

Here's our first festive #OCRMathspuzzle of the season. 🎄

Each festive symbol in the grid below represents a prime number.

The sum of each row and the sum of each column are given.
Work out the value of each festive symbol.

#UKMathsChat #RecreationalMath #Arithmetic

@cambridgeocr.bsky.social

Two quarter circles are drawn on square ABCD. One quarter circle is drawn from point A, with an arc from side AB to side AC. The second quarter circle is drawn from point D, with arc from point B to point C. The two quarter circles touch at a single point E inside the square. What fraction of the square's area is covered by the two quarter circles?

Here's the #OCRMathsPuzzle for this week

What fraction of the square’s area is covered by the two quarter-circles?

Have a fantastic weekend 😀

#Area #Circles #Fractions #Algebra #surds

#MathsToday #UKMathsChat #RecreationalMath
@cambridgeocr.bsky.social

A, B and C are points on the circumference of a circle, centre O. Angle BAC = 70 degrees Length AC = 9 cm Length AB = 7 cm What is the circumference of the circle, correct to 3 significant figures?

The #OCRMathsPuzzle for this week is below!

A, B and C are points on the circumference of a circle, centre O.
Angle BAC = 70°
AC = 9 cm
AB = 7 cm

What is the circumference of the circle, correct to 3 significant figures?

#MathsToday #UKMathsChat #Geometry #ProblemSolving
@cambridgeocr.bsky.social

The image shows rectangle ABCD. Points P and Q are on the line AB such that AP = PQ = QB. The Length AD = AP. There are lines DQ and CP which intersect at point E. What fraction of the rectangle ABCD is covered by the triangles DPE and CQE?

Here's this week's #OCRMathsPuzzle!

What fraction of the rectangle ABCD is covered by the triangles DPE and CQE?

Have a great weekend!

#UKMathsChat #MathsToday #RecreationalMath #Geometry #Area #Fractions

@cambridgeocr.bsky.social

The diagram shows a single horizonal row of 5 cells with two vertical columns crossing the row through the second and fourth cells. Each vertical column has one cell above and one cell below. Place the numbers Place the numbers 1 to 9 in the orange cells below (one number per cell), so that the sum of the numbers in Row 1, the sum of the numbers in Column 1 and the sum of the numbers in Column 2 are all equal.

Today's #OCRMathsPuzzle 🤔

Place the numbers 1 to 9 in the orange cells below (one per cell), so that the sum of the numbers in Row 1, the sum of the numbers in Column 1 and the sum of the numbers in Column 2 are all equal.

#UKMathsChat #MathsToday #RecreationalMath

@cambridgeocr.bsky.social

Each spooky symbol in the grid represents a prime number. The sum of each row and the sum of each column are given. Work out the value of each spooky symbol. Row 1: House, Hat, Ghost, Pumpkin. Sum 60 Row 2: House, Hat, Ghost, House. Sum 58 Row 3: Pumpkin, House, Pumpkin, House. Sum 48 Row 4: Ghost, Hat, Pumpkin, Hat. Sum 66 Column 1: House, House, Pumpkin, Ghost. Sum 54 Column 2: Hat, Hat, House, Hat. Sum 62 Column 3: Ghost, Ghost, Pumpkin, Pumpkin. Sum 64 Column 4: Pumpkin, House, House, Hat. Sum 52

Here's this year's #Halloween #OCRMathsPuzzle.

Each spooky symbol in the grid below represents a prime number.
The sum of each row and the sum of each column are given.
Work out the value of each spooky symbol.

#UKMathsChat #MathsToday #RecreationalMath #Arithmetic
@cambridgeocr.bsky.social

Five integers (a, b, c, d and e) have a mean of 0, a median of 1 and a range of 9. The squares of these five integers (a^2, b^2, c^2, d^2 and e^2) have a mean of 10, a median of 4 and a range of 24. What is the value of a, b, c, d and e.

Better late than never, the #OCRMathsPuzzle for this week.

What is the value of a, b, c, d and e?

For some of you - I hope the half term break was relaxing. For the rest of you - have a good break next week.

#UKMathsChat #RecreationalMath #Algebra #Statistics

Diagram A has a white circle inside a shaded square. Diagram B is a white square inside a shaded circle. In both diagrams, the inner shape just touches the perimeter of the outer shape. Which diagram has the greater fraction of its area shaded?

For #MathsToday, here is this week's #OCRMathsPuzzle!

Which diagram has the greater fraction of its area shaded?

Have a great weekend.

#UKMathsChat #RecreationalMath #Geometry #Area #Fractions #IrrationalNumbers

Image describes the geometric problem. The vertices of a square just touch four edges of a regular octagon. The area of the square is 32 cm squared. Work out the area of the regular octagon.

Here's our #OCRMathsPuzzle to end this week. 🙂

The vertices of a square just touch four edges of a regular octagon, as below.
The area of the square is 32 cm^2.

Work out the area of the regular octagon.

#MathsToday #UKMathsChat #RecreationalMath #geometry #area

Two circles are drawn, with centres C and M and their circumferences just touching. Equilateral triangle ABC is drawn over the circles, where M is the midpoint of AB and A and B are points on circles M's circumference. Work out the ratio of the area of Circle M : the area of circle C in the form 1:n, giving n as an exact value.

Here's this week's edition of #OCRMathsPuzzle! 😀

Work out the ratio of the area of circle M : the area of circle C in the form 1: n, giving n as an exact value.

Have a great weekend!

#UKMathsChat #MathsToday #MathSky #resources #puzzle

Image as described in the text. The grid is a 3 column by 3 row square grid.

Here's the #OCRMathsPuzzle for this weekend. 😀

Place nine different values that have a range (largest – smallest) of 8 into the grid below, so that the sum of each row, the sum of each column and the sum of each diagonal are all 26.

#MathsToday #UKMathsChat #teacher #puzzle #resource #fractions

Diagram as described in text. 8 connected small circles surrounding a larger central circle. Larger circle encloses the arrangement.

Here's this week's #OCRMathsPuzzle.

The cross-section of a telecommunication cable is eight small circular cables around a central circular cable.

The diameter of each small cable is 4 cm.

Work out the diameter of the central circular cable.

#puzzle #UKMathsChat #MathsToday #MathSky #iTeachMath

Here's our first #OCRMathsPuzzle of the academic year.

A square has one corner removed.
The perimeter of the remaining pentagon is exactly 38 cm.
What is the area of the pentagon?

#MathsToday #UKMathsChat #GCSE #area #perimeter #resources #ProblemSolving #PythagorasTriples

#MEIConf2025 was great again.

Here’s the final #OCRMathsPuzzle of the academic year.

Each summer symbol in the grid below represents a number.
The product of the numbers in each row and in each column equal the given totals.
Work out the number that each symbol represents.

#UKMathsChat #surds

A semi-circle and rectangle ABCD are drawn on top of a quarter-circle.​ The diameter of the semi-circle is on one radius of the quarter-circle.​ A & B are on the opposite radius of the quarter-circle.​ C is on the highest point of the semi-circle.​ D is on the arc of the quarter-circle.​ What fraction of the quarter-circle is covered by the rectangle?​

Here's this week's #OCRMathspuzzle!

Have a fantastic weekend! 😀

#UKMathsChat #MathsToday #maths #teacher #resource #geometry #shapes #area #RecreationalMath

Image shows a regular pentagon and a regular hexagon are drawn so that they overlap each other. One vertex and two edges of the pentagon are outside the hexagon, with the adjacent vertices on each edge of the pentagon on the vertices of one edge of the hexagon. The remaining 2 vertices and three edges of the pentagon are inside the hexagon. The area of the pentagon is 10 units square. Find the area of the hexagon.

This week's #OCRMathspuzzle is here!

A regular pentagon and a regular hexagon are drawn so that they overlap each other, as seen in the diagram below.
The area of the pentagon is 10 units^2.

What is the area of the hexagon?

#UKMathsChat #MathsToday #teacher #resource #geometry #shapes #area

There are 16 prime numbers between 201 and 299. Arrange these in the grid (one prime number per cell), so that the sum of each row & the sum of each column equal the given totals. Row totals are 964, 1034, 1040, 1010. Column totals are 994, 1008, 1050, 996.

Here's this week's #OCRMathspuzzle!

There are 16 prime numbers between 201 and 299.

Arrange these 16 prime number in the grid below (one per cell), so that the sum of each row & the sum of each column equal the given totals.

#UKMathsChat #MathsToday #RecreationalMath #PrimeNumbers #Arithmetic