HCF problem solving - 4 challenging questions

Students/Teachers may want to create a three groups called ’Always true | Sometimes true | Never true’

A set of 6 coordinate problems involving midpoints of a line. Each question gradually more difficult than the last. 1) Simple midpoint (quadrant I) 2) Simple midpoint (quadrant IV) 3) Simple midpoint (cross quadrants) 4) Find the end point from the midpoint (quadrant I) 5) Find the end point from the midpoint (cross quadrants) 6) Find the missing coordinate problem

4 coordinate problems.

These can be used as a worksheet or for group discussions. I often use these as a group carousel activity.

Students distribute cards and test eachother.

Additional questions to ask whilst using this sheet: Before answering the questions, are there any questions with more than one correct answer? Are there any with an infinite amount of correct answers? Tom pointed out that any number that works for question e will work for question a, so can we just write whatever we wrote for question a for question e? Common errors to look out for: On the ’make the closest number possible’ questions many students will do it column by column and not consider the whole number. e.g. for question d) 53468 instead of 48653. Another interesting mistake is students who answer with something like 32415 for the top right question (1, 2, 3, 4, 5 are the 5 closest digits to 3).

Venn diagrams and sets worksheet

Game design to help students become more fluent with set notation. ***Print double sided flipping along the short side***

Fractions of amounts from fractions of amounts - Loop Cut out and stick around the room. Students must answer a question to find the next question. Perfect for bar modelling practice.

Using the prime factorisations answer these questions. Turn this into a discussion activity, what do you look for to know if a number has a square factor? Why is 225 a square number? Can you tell from its prime factors that it's square? Why do/don't we include 1 in the discussion?

12 ratio worded questions in a loop game style layout.

Sort the probability statements into true and false statements,

Fill in the blank boxes. This activity works best if the students are given no instructions.

Simple, non calculator circle area questions. Print page 1 as a worksheet or print both (flip along short side) for answers to be printed on back.

Can be cut out and stuck around the room, or a set given to sort on each table. The order of answers (number in brackets is the page): top left (1) top left (2) top left (3) top middle (1) top middle (2) etc.

4 different style questions on Venn diagrams

Print out 1 sided and cut up. Students must match a Venn diagram to different groups.

If students estimate (to 1 s.f.) this task should be mostly simple. The only challenge is the final question, students will need to spot that 20 (4 x 5) is an underestimate as both numbers have been rounded down.

Ask student to discuss these problems.

Order of operations treasure hunt, cut out and stick around the room.