The shown entries are 2, 4, 6, 8. Which rule matches every jump between neighbouring entries?

• Add 4 at each shown jump
• Add 2 at each shown jump
• Double at each shown jump

One matching example proves that a suggested rule works for every possible case.

Ravi reads 9, 8, 7, 6 from left to right. Which rule matches every move in that direction?

• Subtract 1 at each move
• Add 1 at each move
• Keep the starting number each time

Sofia's sounds are clap, tap, tap, clap, tap, tap. Which instruction gives the whole repeating part in order?

• Repeat clap, tap, tap in that order
• Repeat tap, clap, clap in that order
• Repeat clap, tap, clap in that order
• Repeat any three sounds in any order

Asha checks three classroom pencils. All are blue. She suggests 'all classroom pencils are blue'. Which check examines a new case covered by that claim?

• Check the same three classroom pencils again
• Check a blue pen from another classroom
• Check a classroom pencil not yet examined
• Check the classroom wall beside the pencils

Which reason explains why adding 0 leaves every counting number unchanged?

• Adding 0 adds nothing, so the starting amount stays the same
• Three matching sums prove all unchecked sums must also match
• A familiar rule needs no reason beyond remembering its words

A closed box contains exactly four tokens. Maya checks all four, and every one is red. This is enough to show that every token currently in that box is red.

Nia checks 'add 2 at every jump' against 2, 4, 7, 9. How many neighbouring jumps do not fit?

Jayden suggests 'always add 3' for 2, 5, 8, 11, 14. The next entry in that list is confirmed as 18. What should he do?

• Keep the rule because earlier jumps matched
• Recheck the rule against the confirmed list
• Swap the confirmed entry for an untested 17

Start at 4. The first jump adds 1, and each later jump is 1 larger. This gives 4, 5, 7, 10. What number does the stated rule predict next?