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Mastering Basic Math Skills: Factors, Multiples, Patterns, and Prime Numbers

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6 diapositives · 337 Views · Oct 21, 2014

This comprehensive practice test covers essential math skills, including identifying factors and multiples, recognizing patterns, prime and composite numbers, and prime factorization. It includes exercises like listing factors for given numbers, finding least common multiples, identifying greatest common factors, and expressing numbers as sums of prime numbers. The test is designed to strengthen foundational math knowledge crucial for higher-level math. Ideal for students seeking mastery in basic math concepts.

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  1. Basic Math skills Chapter 2 Practice Test Mastery Test A

  2. Directions: list the set of all factors of these numbers • F20 – 1, 2, 4, 5, 10, 20 • F24 – 1, 2, 3, 4, 6, 8, 12, 24 • F15 – 1, 3, 5, 15 DIRECTIONS: LIST THE SET OF MULTIPLES OF THESE NUMBERS • M6 – 0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60…. • M15 – 0, 15, 30, 45, 60, 75, 90, 105, 120, 135… • M14 – 0, 14, 28, 42, 56, 70, 84, 98, 112, 126…

  3. Directions: give the next three numbers in each pattern • {0, 2, 4, 6, 8, 10, 12, 14} – the pattern is adding two each time (even numbers) • {0, 1, 4, 9, 16, 25, 36} – add the next odd number to the existing number • {1, 3, 6, 10, 15, 21, 28} – add the next number to existing number DIRECTIONS: CIRCLE THE ANSWERS TO THE FOLLOWING QUESTIONS • Which of these are prime numbers? 23, 3, 41, 59 • Which of these are composite numbers? 9, 57, 34, 49 • Which number is divisible by 5? 3,240 • Which number is divisible by 3? 8,217

  4. Directions: write these numbers as the sum of two prime numbers • 38: 31 + 7, 19 + 19 • 52: 47 + 5, 41 + 11, 23+ 29 DIRECTIONS: GIVE THE PRIME FACTORIZATION OF THESE NUMBERS • 18: 3 X 3 X 2 • 30: 5 X 2 X 3 • 42: 7 X 2 X 3 • 16: 2 X 2 X 2 X 2

  5. DIRECTIONS: FIND THE LEAST COMMON MULTIPLE OF EACH PAIR OF NUMBERS • LCM (8,10) M8 – 0, 8, 16, 24, 32, 40, 48, 56… M10 – 0, 10, 20, 30, 40, 50, 60… • LCM (9,12) M9 – 0, 9, 18, 27, 36, 45, 54, 63, 72, 81… M12 – 0, 12, 24, 36, 48, 60, 72… • LCM (5,15) M5 – 0, 5, 10, 15, 20, 25, 30, 35, 40… M15 – 0, 15, 30, 45, 60, 75…

  6. Directions: find the greatest common factor of each pair of numbers • GCF (9,18) F9 – 1, 3, 9 F18 – 1, 2, 3, 6, 9, 18 • GCF (12,25) F12 – 1, 2, 3, 4, 6, 12 F25 – 1, 5, 25 • GCF (18,30) F18 – 1, 2, 3, 6, 9, 18 F30 – 1, 2, 3, 5, 6, 10, 15, 30