Pi day #PiDay is a great day for #ProblemSolving !!
Check out the March Calendar of problems and share your working out thoughts here or on the post.
#iTeachMath #MTBoS #T3Learns
#RecreationalMath #MathSky
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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 March Calendar of Problems is here! Enjoy some #ProblemSolving yourself or with students. Let us know your thoughts & working-out here or on post.
#MTBoS #iTeachMath #T3Learns #RecreationalMath #MathSky #MathsToday
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Solutions now posted for the February Calendar of Problems! Check out the #ProblemSolving fun and stay tuned for March coming tomorrow!
#MTBoS #iTeachMath #T3Learns #RecreationalMath
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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
![Feb 17: if the spinner shown is equally likely to land in any one of the four sectors, what is the probability that the sum obtained in four spins is 9? [spinner with 4 equal parts labeled 0, 1, 6, 2]
Feb 18: the equation x^2 – 2x + c =0 has roots r and s. If r/s = -2, what is the value of c?
Feb 21: a semicircle with radius 1 is inscribed in a rectangle. A second semicircle lies in a corner, tangent to the larger semicircle, with its diameter coincident with the long side of the rectangle. What is the radius of the small semicircle?
Feb 22: If an and b are integers such that a^2 + b^2 =29, what is the maximum value of absolute value of a–b?](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:q5qi7uhk3ua52vdmiscyugdf/bafkreidvhzbdmn6ku4rc4vq4ii4wq5lgablbdfbzr53gqw7wpo2lm23eh4)
Feb 17: if the spinner shown is equally likely to land in any one of the four sectors, what is the probability that the sum obtained in four spins is 9? [spinner with 4 equal parts labeled 0, 1, 6, 2] Feb 18: the equation x^2 – 2x + c =0 has roots r and s. If r/s = -2, what is the value of c? Feb 21: a semicircle with radius 1 is inscribed in a rectangle. A second semicircle lies in a corner, tangent to the larger semicircle, with its diameter coincident with the long side of the rectangle. What is the radius of the small semicircle? Feb 22: If an and b are integers such that a^2 + b^2 =29, what is the maximum value of absolute value of a–b?
Let's do #ProblemSolving Sunday... which of this past week's problems did you try?
Here are some from the February calendar (link in 1st comment)
#MTBoS #iTeachMath #T3Learns #RecreationalMath #MathSky
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
I'm loving this one:
Isosceles triangle PQR has altitude to the base "a" and legs "c". Express the radius of the circumscribed circle in terms of an and c.
#geometry #iTeachMath #MTBoS #RecreationalMath #ProblemSolving
It's a SUPER day for #ProblemSolving Sunday!
Check out the February Calendar of Problems... which ones did you like from this past week?
Share your thinking & working out here or on the post.
#MTBoS #iTeachMath #T3Learns #RecreationalMath #MathSky
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Lovely #geometry puzzle for your Saturday. Thanks Catriona!
#iTeachMath #MTBoS #RecreationalMath #MathsToday
Time for winter #ProblemSolving! Here's the February Calendar of Problems for you and your students.
Tell us your working out here or on the post. ENJOY!
#MTBoS #iTeachMath #RecreationalMath #MathSky #MathsToday #T3Learns
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Solutions to the January #ProblemSolving Calendar are posted! Stay tuned for February calendar coming tomorrow...
#RecreationalMath #MTBoS #iTeachMath #MathSky #MathsToday
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Apparently it's National Puzzle Day!
My new favorite puzzle apps are OneUpPuzzle.com - a sudoku variant with extra "fences", and Jigsy.app - a visual grid-filling puzzle with rotation/scaling of pieces to fit.
Enjoy!
#Puzzles #RecreationalMath #PuzzleDay
Have a #ProblemSolving snow day if school is closed today!
#MTBoS #iTeachMath #RecreationalMath
January 24: 3x + 7y = 188 What integral solution for (x, y) yields the least positive difference for y – x? January 25: What is the smallest composite number generated by p^2 – p – 1, where p is a prime number?
Snowy days are great for #ProblemSolving !
Here's this weekend's calendar problems, I like these bc they have easy entry points for students (& no clear algorithm)
Tell your thoughts below or on post, full calendar linked below.
#MTBoS #iTeachMath #T3Learns #RecreationalMath #MathsToday #MathSky
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
A triangle is inscribed in a semicircle, so that the longest side of the triangle is the diameter of the circle. If the area of the triangle is half the are of the semicircle, what is the measure of angle alpha (one of the acute angles along the diameter) to the nearest minute?
Anyone want to do #ProblemSolving Sunday?
This is today's problem from the January calendar.
Share how you think about this one or any of the problems from past week. [link to full calendar in comments]
#MTBoS #iTeachMath #MathSky #MathsToday #RecreationalMath
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
A flag design is shown. A cross is symmetrically placed in the flag such that the same size rectangle is located in each corner. All four arms are the same width. Supposed that the flag measures 3 meters high by 4 meters across. How wide should the arms of the cross be so that it makes up half the area of the flag?
Let's do #ProblemSolving Sunday! Here is today's calendar problem... share how you thought about this one (or any others from this past week of the January Calendar of problems. Link below)
#iTeachMath #MTBoS #MathSky #RecreationalMath #MathsToday
The sum of the square roots of two numbers is 5. The two numbers also differ by 5. What are the numbers?
#ProblemSolving Sunday... what are your thoughts on today's calendar problem?
And check out the entire calendar, link in first comment.
#RecreationalMath #MTBoS #iTeachMath #MathsToday
ABCD is a rectangle with AB and CD longer sides. F is a point on AB, DF and CB are extended to meet at E. AC and DF intersect at G (in the interior of the rectangle) Given FG = 2 and FE = 6, find DG.
Shall we do some #ProblemSolving this Saturday?
Yesterday's calendar problem has several pairs of similar triangles... my idea for a starting point.
What do you think?
#MTBoS #iTeachMath #MathsToday #RecreationalMath #geometry
Happy new #ProblemSolving year! The January Calendar of #math problems is posted!!
Enjoy them w/your students or yourself--please share your thinking & solutions here or on the post.
#iTeachMath #MTBoS #T3Learns #RecreationalMath #MathSky #MathsToday
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Solutions to the December #ProblemSolving calendar are posted!
Be sure to check for January calendar to start the new year.
#MTBoS #iTeachMath #T3Learns #RecreationalMath #MathSky #MathsToday
karendcampe.wordpress.com/2025/12/01/d...
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
Here's the December Calendar of Problems from 40 years ago... the first year of the calendar format!!
Enjoy #ProblemSolving this month yourself or w/students; share thinking here or on the post.
#MTBoS #iTeachMath #T3Learns #MathsToday #RecreationalMath
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Hope everyone gave thanks this past week for their loved ones and also... the #ProblemSolving calendar!
Solutions are posted for November, and the December calendar is coming tomorrow.
#MTBoS #iTeachMath #MathsToday #RecreationalMath
karendcampe.wordpress.com/2025/11/01/n...
