#OCRMathsPuzzle
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stevemaths.bsky.social
Here's the #OCRMathspuzzle for this week! Have a great weekend! :)

The below number properties apply to five consecutive numbers.
What are the five numbers?

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Five consecutive numbers have the following properties; Prime, Multiple of seven, square, even, prime. What are the five numbers?
January 24, 2025 at 11:58 AM
stevemaths.bsky.social
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
September 12, 2025 at 2:25 PM
stevemaths.bsky.social
Here's the first festive #OCRMathspuzzle of the season! 🎄

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

#maths #teacher #puzzle #resource #arithmetic #number #UKMathsChat
December 6, 2024 at 1:28 PM
stevemaths.bsky.social
Here's today's #OCRMathsPuzzle.

A regular hexagon and a regular octagon have the same perimeter.
The area of the hexagon is 90 cm^2.
Find the area of the octagon to 3 significant figures?

#UKMathsChat #MathsToday #RecreationalMath #area #perimeter #trigonometry #teachers #EduSky
Image shows a regular hexagon and a regular octagon.
March 21, 2025 at 11:14 AM
stevemaths.bsky.social
This week's #OCRMathspuzzle is below!

A red segment is constructed next to a green full circle, as seen below.
The area of the green full circle is 48 cm^2.
What is the area of the red segment?

#iteachMath #UKMathsChat #maths #teachers #resources #geometry #circle #triangle
Angle subtended by the red segment is 90 degrees and forms tangent to full green circle
November 29, 2024 at 3:42 PM
stevemaths.bsky.social
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
Diagram as described in text. 8 connected small circles surrounding a larger central circle. Larger circle encloses the arrangement.
September 19, 2025 at 10:58 AM
stevemaths.bsky.social
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
Image as described in the text. The grid is a 3 column by 3 row square grid.
September 26, 2025 at 12:11 PM
stevemaths.bsky.social
Here's our #OCRMathsPuzzle.

The diagram shows a regular octagon partially covered by a square.
The area of the square is 100 centimetres squared.
What is the exact area of the octagon?

#UKMathsChat #MathsToday #RecreationalMath
#Area #Trigonometry #Geometry #Surds
@cambridgeocr.bsky.social
A regular octagon ABCDEFGH is partially covered by a square AEMN. The line AE cuts the octagon into 2 equal sections. The area of the square is 100 cm^2. What is the exact area of the octagon?
May 8, 2026 at 12:26 PM
stevemaths.bsky.social
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
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.
March 13, 2026 at 10:15 AM
stevemaths.bsky.social
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
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?
October 17, 2025 at 11:23 AM
stevemaths.bsky.social
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 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?
November 14, 2025 at 12:43 PM
stevemaths.bsky.social
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
image as described in text
January 1, 2026 at 12:14 PM
stevemaths.bsky.social
Here's our #OCRMathsPuzzle for the long weekend.

What area of the circle is not covered by triangle PCB in the diagram below?

#UKMathsChat #MathsToday #GCSEMaths #ALevelMaths #RecreationalMath

@cambridgeocr.bsky.social
A circle is drawn with centre O and diameter AB. Triangle PCB is drawn over the circle. P is on the circumference of the circle. C is on the diameter AB. PC = 16.8 cm, PB = 60 cm and angle PCB is 90 degrees. What area of the circle is not covered by the triangle PCB?
May 1, 2026 at 11:02 AM
stevemaths.bsky.social
Here is the first #OCRMathsPuzzle of the summer term.

Diagram shows a square ABCD with quarter circles drawn with centres at A and B, radius equal to the side length.

What percentage of the square has been covered by the quarter circles?

#UKMathsChat #MathsToday
@cambridgeocr.bsky.social
Diagram shows a square ABCD. Quarter circles are drawn with centres at A and B. The radius of each quarter circle is equal to the side length of the square. What percentage of the square has been covered by the quarter circles?
April 24, 2026 at 10:44 AM
stevemaths.bsky.social
Here is our second festive #OCRMathspuzzle for you this year 🎁

Write the numbers 1–12 into the baubles on the tree, so that the five baubles along each edge all sum to the same total.

Multiple solutions?

#maths #teacher #puzzle #resource #arithmetic #UKMathsChat #RecreationalMath
Christmas tree design based on an equilateral triangle. Spaces for five baubles along each edge, with each corner bauble shared by two edges. Baubles numbered 1 to 12 are to be placed on the tree so that the sum of the 5 baubles along each edge all sum to the same total.
December 13, 2024 at 10:46 AM
stevemaths.bsky.social
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
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.
October 10, 2025 at 2:03 PM
stevemaths.bsky.social
2025 is a square number,
but did you also spot that 2025 is the product of a prime number, a square number & a cube number.
2025 = 3 × 25 × 27

What is the next year that will also be the product of a prime number, a square number and a cube number?

#OCRMathsPuzzle #UKMathsChat #RecreationalMaths
2025 is the product of a prime number, a square number and a cube number. 2025 = 3 x 25 x 27 What is the next year that will also be the product of a prime number, a square number and a cube number?
January 10, 2025 at 11:30 AM
stevemaths.bsky.social
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
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?
November 21, 2025 at 12:40 PM
stevemaths.bsky.social
Here's a nice little challenge to review #Areas, #Sectors, #Trigonometry, #Surds and #Fractions.

#OCRMathsPuzzle #UKMathsChat #MathsToday #RecreationalMath

@cambridgeocr.bsky.social
The diagrams shows a semicircle with centre O enclosed by the equilateral triangle ABC. The diameter of the semicircle touches line AB. AC and BC are tangents to the semicircle at points P and Q. Work out the exact fraction of triangle ABC that is covered by sector OPQ.
June 12, 2026 at 12:46 PM
stevemaths.bsky.social
#OCRMathspuzzle is here.

Below is a partially completed multiplication grid.
The letters A to H represent consecutive numbers.
Find the value of each letter and complete the multiplication grid.

Have a great weekend.

#maths #teacher #resource #puzzle #number
#MathsToday #UKMathsChat #ITeachMaths
Image shows a multiplication grid. Column headers are A, B, C and D. Row headers are E, F, G and H. Product CE = 399. Product BF = 396. Product DG = 460. Product AH = 408. The letters A to H represent consecutive numbers. Find the value of each letter and complete the multiplication grid.
February 7, 2025 at 10:25 AM
stevemaths.bsky.social
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
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?
November 28, 2025 at 1:15 PM
stevemaths.bsky.social
This week's #OCRMathspuzzle is here!

How many solutions to the equation can you find?

Have a fantastic bank holiday weekend! :)

#UKMathsChat #MathsToday #teacher #resource #puzzle #algebra #indices #powers #primenumbers
Image shows puzzle details. a, b and p are prime numbers a<b p<300 Find the values for a, b and p that satisfy the equation: a^2 + b^2 = p How many solutions can you find.
May 2, 2025 at 2:17 PM
stevemaths.bsky.social
Today's #OCRMathsPuzzle is inspired by some great 'yohaku' puzzles that we've seen on here recently @mikejacobs.bsky.social

Arrange 9 consecutive numbers into the grid, to meet the requirements below!

Have a great weekend! 😀
#UKMathsChat #arithmetic #RecreationalMaths
Arrange 9 consecutive numbers into the 3 by 3 grid, so that… (a) the product of the 3 numbers in each row are 16588, 16200 and 13524 (b) the product of the 3 numbers in each column are 16146, 14784 and 15225 (c) the sum of the numbers in the 2 by 2 grid shaded grey in the top left corner of the 3 by 3 grid is 99.
March 14, 2025 at 12:12 PM
stevemaths.bsky.social
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.
January 9, 2026 at 1:31 PM
stevemaths.bsky.social
It's Friday #OCRMathsPuzzle time 🎉.
The graph shows the equations y = x^2 – 10x + 25 and y = 3 + 6x – x^2 drawn on the same axes.

N & M are points on the curves. Which value of x gives the maximum distance between N & M?

#UKMathsChat #GCSEMaths #ALevelMaths #MathsToday
@cambridgeocr.bsky.social
The graphs of two quadratic equations are drawn on the same axes. y=x^2-10x+25 and y=3+6x-x^2 N and M are points on the curves, between the points of intersection. N is vertically above M. Which value of x gives the maximum distance between N and M?
May 15, 2026 at 9:20 AM