A garden is 9 m long. A park is 5 times as long. How long is the park? — 45 m.5 × 9 = 45 m.
Box A holds 56 books. Box B holds 8 books. Box A holds how many times as many books as Box B? — 7.56 ÷ 8 = 7. Box A holds 7 times as many.
A number is 8 times as large as 9. What is the number? — 72.8 × 9 = 72.
Zara spent $48. That is 6 times what Ben spent. How much did Ben spend? — $8.Ben spent 48 ÷ 6 = $8.
If P = 5 × Q and Q = 7, what is P? — 35.P = 5 × 7 = 35.
A train travels 240 km. A car travels 60 km. The train travels how many times as far? — 4 times.240 ÷ 60 = 4. The train travels 4 times as far.
Which comparison is MULTIPLICATIVE, not additive? — 18 is 3 times as much as 6."18 is 3 times as much as 6" uses multiplication: 3 × 6 = 18.
A field is n times as long as a yard. The yard is 9 m. The field is 63 m. What is n? — 7.n = 63 ÷ 9 = 7.
Holly collected 4 times as many shells as Mark. Together they have 60. How many did Mark collect? — 12.Mark = m, Holly = 4m. m + 4m = 5m = 60, so m = 12.
Which equation lets you find the multiplier n if A = 36 and B = 9? — n = A ÷ B.n = A ÷ B = 36 ÷ 9 = 4.
A recipe needs 3 cups of flour. Another recipe needs 5 times as much. How many cups does the second recipe need? — 15.5 × 3 = 15 cups.
Which number is composite? — 15.15 = 3 × 5, so it has factors 1, 3, 5, 15 — more than 2 → composite.
What are the factor pairs of 18? — 1×18, 2×9, 3×6.Factor pairs of 18: 1×18, 2×9, 3×6. (4 and 5 do not divide 18 evenly.)
A number between 20 and 30 has factors 1, 2, 4, 7, 14, 28. What is the number? — 28.28 = 4 × 7. Its factors are 1, 2, 4, 7, 14, 28.
Which statement about prime numbers is TRUE? — Prime numbers have exactly 2 factors.Every prime has exactly 2 factors (1 and itself). 2 is an even prime, so not all primes are odd.
Is 51 prime or composite? — Composite.51 = 3 × 17. It has more than 2 factors, so it is composite.
Which two numbers are BOTH prime? — 11 and 13.11 and 13 are both prime. 9=3×3, 21=3×7, 25=5×5 are composite.
What is the greatest factor of 36 other than 36 itself? — 18.36 ÷ 2 = 18. So 18 is the greatest proper factor of 36.
A number has exactly 3 factors: 1, p, and p². What type of number is p²? — Composite.p² has 3 factors (1, p, p²) so it is composite. Examples: 4, 9, 25.
How many prime numbers are between 1 and 20? — 8.Primes between 1 and 20: 2, 3, 5, 7, 11, 13, 17, 19 — that is 8 primes.
Divisibility rule: a number is divisible by 3 if… — Its digit sum is divisible by 3.If the sum of the digits is divisible by 3, the whole number is divisible by 3. Example: 123 → 1+2+3=6, divisible by 3.
Which rule generates ONLY even numbers starting from 2? — Start at 2, add 2.Start at 2 (even), add 2: 2, 4, 6, 8... Every term stays even because even + even = even.
Pattern: 3, 7, 11, 15, 19. What is the 10th term? — 39.Rule: add 4. Term n = 3 + (n−1)×4. Term 10 = 3 + 9×4 = 3 + 36 = 39.
Which pattern grows FASTER: add 10 each step or multiply by 2 each step? — Multiply by 2.Multiplication compounds — it starts slow but eventually overtakes any additive pattern. Multiply by 2 grows faster.
Fill in: 1, 3, 6, 10, ___. (Hint: differences are 2, 3, 4, 5...) — 15.Differences: +2, +3, +4, +5. So next: 10 + 5 = 15. These are triangular numbers!
The pattern 100, 50, 25, 12.5 uses the rule: — Multiply by 0.5 (same as dividing by 2).Each term is half the previous: 100÷2=50, 50÷2=25, etc. Rule: multiply by ½ (divide by 2).
A pattern starts at 7 with rule +6. What are the first 4 terms? — 7, 13, 19, 25.7, 7+6=13, 13+6=19, 19+6=25.
Feature of the pattern 5, 10, 15, 20, 25: all terms are ___ — Multiples of 5.5, 10, 15, 20, 25 are all multiples of 5 — they appear in the "count by 5s" (5× table).
In 6, 12, 24, 48, each term is multiplied by 2. What is the ratio of consecutive terms? — 2.The ratio is always 12/6 = 24/12 = 48/24 = 2. A constant ratio means it is a geometric/multiplicative pattern.