Math Level 6: Diagnostic Assessment

Which of the following is true?

• (75 - 25) × 3 = 75 - (25 × 3)

• (75 + 25) - 3 = 75 + (25 - 3)

• 75 × (25 - 3) = (75 × 25) - 3

• (75 ÷ 25) - 3 = 75 ÷ (25 - 3)

Justin writes the expression shown.

(8 + 2) x 8

Which is not equivalent to the expression Justine writes?

• 10 × 8

• (8 × 8) + (2 × 8)

• (8 + 8) × (2 + 8)

• 80

Margo and Jamie play a game. Margo collects $28 and $365. Then Jamie collects 4 times that amount of money collected by Margo. Which steps must be followed to solve the problem?

• Find the sum of $28 and $365. Then multiply by 4.

• Subtract $28 and $365. Then multiply by 4.

• Find the sum of $28 and $365. Then divide by 4.

• Find the sum of $28 and $365. Then add 4.

Michael starts at 0 and completes a pattern following the rule, "Add 2." Gerald starts at 0 and completes a pattern following the rule, "Add 6." The boys form ordered pairs from the corresponding terms in the two patterns. They graph the ordered pairs on a coordinate plane, as shown.

• The fifth term of Gerald’s pattern is six times as much as the fifth term of Michael’s pattern.

• The fifth term of Michael’s pattern is three times as much as the fifth term of Gerald’s pattern.

• The fifth term of Gerald’s pattern is three times as much as the fifth term of Michael’s pattern.

• The fifth term of Michael’s pattern is half as much as the fifth term of Gerald’s pattern.

Which day's amount has an 8 with a value 10 times as much as the value of the 8 in Monday's amount?

• A. Tuesday

• B. Wednesday

• C. Thursday

• D. Friday

Jason correctly multiplies 8.2 by 10,000. What is the place value of the 2 in the product?

• 2 ten thousands

• 2 thousands

• 2 hundreds

• 2 tens

Mr. Stillwater reads a table containing whole dollar amounts. The subtitle says "in millions of dollars," so he knows he must multiply each whole number by 1,000,000. Which statement must be true about the resulting numbers?

• Every number will end in exactly 6 zeros.

• Every number will end in exactly 7 zeros.

• Some of the numbers could end in fewer than 6 zeros.

• Some of the numbers could end in more than 6 zeros.

Which shows the expanded form of 78.053?

During a chemistry experiment, Jordan measured three hundred seventy-five thousandths cubic centimeters of water. Which number should he record in his log?

• 375 cm³

• 37.5 cm³

• 0.375 cm³

• 0.0375 cm³