Advertisement

6th Grade Mathematics Practice - Set 5 — Iowa Assessments (ITBS) Prep

This 6th Grade math practice set covers the pre-algebraic concepts and proportional reasoning skills measured by the Iowa Assessments (ITBS) at Level 11. Sixth graders will practice ratio and proportion problems, integer operations, algebraic expressions, statistical analysis, and geometric reasoning. At this level, the Iowa Test of Basic Skills transitions toward more abstract mathematical thinking and problem solving. These practice questions mirror the rigor and format of actual ITBS math items, helping 11 and 12 year old students prepare for the increasing mathematical demands of middle school assessments. This is Set 5, providing additional practice problems to ensure thorough preparation across all tested math topics.

Total Questions: 27 Grade: 6th Grade Iowa Level: Level 11 Ages: 11-12
Word ProblemProbabilityOrder of OperationsGCF/LCMPrime Factorization

🔢 Math Set 5

6th Grade Iowa Assessments Practice

0 of 27 correct

Advertisement
Review All 27 Practice Questions

Word Problem

  1. A store sells notebooks at $2.50 each. If Marcus has $18, how many notebooks can he buy and how much change will he receive? (7 notebooks, $0.50 change | 6 notebooks, $3 change | 8 notebooks, no change | 7 notebooks, no change)
  2. A train travels at 65 miles per hour. How long will it take to travel 260 miles? (3 hours | 4 hours | 5 hours | 3.5 hours)
  3. Sarah earned $240 in 8 hours. At this rate, how much will she earn in 12 hours? ($320 | $360 | $400 | $300)
  4. A recipe calls for 2/3 cup of sugar. If you want to make 1.5 batches, how much sugar do you need? (3/4 cup | 1 cup | 1 1/3 cups | 2/3 cup)
  5. The original price of a jacket is $80. It ($24 | $56 | $50 | $60)
  6. A rectangular pool is 25 meters long and 15 meters wide. What is its area? (80 m² | 375 m² | 400 m² | 40 m²)
  7. The temperature dropped from 8°C to -15°C. By how many degrees did it change? (7 degrees | 23 degrees | -7 degrees | 15 degrees)
  8. A box contains 144 crayons shared equally among 12 students. Each student then gives away 1/4 of their crayons. How many crayons does each student have left? (12 | 9 | 10 | 8)
  9. If 3/5 of a number is 45, what is the number? (27 | 75 | 60 | 90)
  10. A car uses 3 gallons of gas to travel 84 miles. At this rate, how many gallons are needed to travel 350 miles? (10 gallons | 12.5 gallons | 15 gallons | 11 gallons)

Probability

  1. A bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of drawing a blue marble? (1/2 | 3/10 | 3/8 | 1/3)
  2. What is the probability of rolling an even number on a standard die? (1/3 | 1/2 | 2/3 | 1/6)
  3. If you flip a coin twice, what is the probability of getting heads both times? (1/2 | 1/4 | 3/4 | 1/3)
  4. A spinner has 8 equal sections numbered 1-8. What is the probability of landing on a number greater than 5? (5/8 | 3/8 | 1/2 | 1/4)
  5. If the probability of rain is 35%, what is the probability it will NOT rain? (35% | 65% | 75% | 50%)

Order of Operations

  1. Evaluate: 5 + 3 × 4 - 2 (30 | 15 | 18 | 24)
  2. Evaluate: 24 ÷ (4 + 2) × 3 (12 | 15 | 6 | 21)
  3. Evaluate: 2³ + 4 × 5 - 10 (18 | 28 | 70 | 22)
  4. Evaluate: (15 - 3) ÷ 4 + 2² (7 | 5 | 10 | 6)

GCF/LCM

  1. What is the greatest common factor (GCF) of 36 and 48? (6 | 12 | 4 | 24)
  2. What is the least common multiple (LCM) of 8 and 12? (48 | 24 | 96 | 4)
  3. What is the GCF of 45 and 60? (5 | 15 | 3 | 9)
  4. What is the LCM of 6 and 9? (54 | 18 | 36 | 3)

Prime Factorization

  1. What is the prime factorization of 36? (4 × 9 | 2² × 3² | 6 × 6 | 2 × 18)
  2. What is the prime factorization of 50? (5 × 10 | 2 × 5² | 2 × 25 | 5² × 4)
  3. Which number is a prime number? (51 | 53 | 55 | 57)
  4. What is the prime factorization of 72? (8 × 9 | 2³ × 3² | 4 × 18 | 6 × 12)
Advertisement