math exam

Ron Paul Curriculum 6th Grade Mathematics
Midterm Examination
This exam should be taken closed book, closed notes, and without a
calculator. You should work on separate paper.

1. Answer the following questions about the number four hundred twenty-nine billion,
   three hundred million:
   a) Write the number using digits answer: 429,000,300,000,000
   b) What value does the digit ‘2’ have? answer: 10’s billions
   c) Write the number using scientific notation. answer: four hundred twenty-nine billion three hundred million
2. Solve the following arithmetic problems:
   a) 7,219 + 91,412 + 27,826 + 35 = 126,492
   b) 54,317 ‒ 38,584 = 15,723
   c) 4,387 × 39 = 169,183
   d) 8672 ÷ 16 = 245
   e) 3 to the power of 5 = 243
3. Find the missing numbers in the following problems:
   a) 31 + x = 78 answer: 47
   b) 67 ‒ a = 22 answer: 45
   c) 12 × t = 108 answer: 9
   d) 84 ÷ m = 7 answer: 12
4. Write DCLXVIII as an Arabic numeral. answer: 668
5. Find the greatest common divisor of 16, 40, 88 and 96. answer: 8
6. Find the least common multiple of 6, 9 and 20. answer: 3
7. For the number 11 2/3 answer: 35/3
8. 
   a) Reduce to an improper fraction.
   b) Reduce to a decimal number, and round to the nearest thousandth.
9. Reduce 0.224 to a fraction in lowest terms. answer: 244/5

10. I paid $836 for some merchandise and resold it for a 15% profit. What was my
    profit? answer: 961$
11. Solve the following:
    a) ‒15 + 8 = -8
    b) ‒31 ‒ (‒24) = -7
    c) ‒6 × 8 = -48
    d) ‒72 ÷ (‒9) = -8
    e) |‒5| × | 7 | = 30
12. Write 6‒3 as a fraction. answer: 1/216
13. Graph the inequality ‒6 ≤ x < 4.5 on a number line. answer:
14. Find the following algebraic products and quotients:
    a) t · t · 3 · t · 8 · t answer: 24t4
    b)
15. Simplify the following algebraic expressions by combining like terms, then
    evaluate the expression for x = ‒3 answer: 256
    
16. Find the following product using the distributive rule, then evaluate the expression
    for x = 2, y = ‒1 answer: 320
17. Convert 2 gallons to cups using the correct conversion factor or factors. 2 gallons=32 cups
18. Convert 100 mm to inches, assuming that 1 inch = 2.5 cm. answer: 55
19. Write 3.4 × 10‒8 in decimal notation. answer: 34