Practice Questions
At the beginning of the year, a first grade teacher plans a math unit about place value. Which of
the following activities would most effectively support students' understanding of this concept?
A. Playing a card game where students call out the number on their card in order after the
immediately preceding number is called out by a classmate
B. Building double-digit numbers with foam tens rods and ones units by rolling a die to add on
C. Solving addition sentences that present two single digit numbers to be added and then
decomposed as a group of ten and more ones
D. Using magnetic ten frames and dots to compose numbers 11 through 20 as groups of ten and
additional ones - correct answer ✔✔D. Using magnetic ten frames and dots to compose
numbers 11 through 20 as groups of ten and additional ones
After a class reads a chapter about measurement conversion, the teacher observes students
using improper terminology to discuss their mathematical processes. Which of the following
teacher strategies would be most effective in scaffolding the students' understanding of
mathematics vocabulary in future text-based discussions?
A. Conducting an attribute word hunt prior to beginning new units
B. relating multiple-meaning word to other subject material
C. Completing an open word sort with students assigning categories
D. building a word wall to be used as a reference throughout lessons - correct answer ✔✔C.
Completing an open word sort with students assigning categories
Which of the following numbers is closest in value to 2.5 x 10^-2
A. 0.021
,B. 2.3
C. 2/10
D. 22/100 - correct answer ✔✔A. 0.021
A student earns $5.99 for every job completed around the neighborhood. Once six jobs
completed, the student plans to purchase a new pair of headphones for 25.99. Which of the
following mathematical models should he students use to determine how much money will be
left over after the purchase?
A. (5.99 x 6) - 25.99
B. 25.99 - (5.99 x 6)
C. (25.99/6) - 5.99
D. 5.99 - (25.99/6) - correct answer ✔✔A. (5.99 x 6) - 25.99
Instruction in which of the following areas would be most effective for promoting student
understanding of prime numbers?
A. repeated addition
B. Factor trees
C. Equal groupings
D. Fact families - correct answer ✔✔B. Factor trees
A household appliance regularly priced at $150 was put on sale at a 15% discount. After several
weeks, the appliance was discounted 20% off the Salle price. When these discounts are
combined, what percent of the original price would a shopper save?
A. 30%
B. 32%
, C. 35%
D. 38% - correct answer ✔✔B. 32%
A car's gas mileage averages 25 miles per gallon in the city and 30 miles per gallon on the
highway. The car can travel 325 miles on a tank of gas in the city. Which of the following
proportions can be used to determine how many miles the car can travel on the highway using
the same amount of gas?
A. 25/325 = x/30
B. 25/55 = x/325
C. 25/325 = 30/x
D. 25/55 = 325/x - correct answer ✔✔C. 25/325 = 30/x
When the numerator and the denominator of a fraction are each multiplied by the same
number, the resulting fraction is equivalent to the original fraction. For example 3/4 = 9/12
because 9/12 = 3/4 x 3/3 = 3/4. x 1 = 3/4. Which of the following computation steps is justified
by this property?
A. Lining up decimal points in oder to subtract decimal numbers
B. Moving decimal points the same number of spaces in both the dividend and the divisor in
order to divide decimal numbers
C.. rewriting mixed numbers as improper fractions in order to multiply the mixed numbers
D. Finding the lowest common denominator in order to add fractions - correct answer ✔✔B.
Moving decimal points the same number of spaces in both the dividend and the divisor in order
to divide decimal numbers
Which of the following activities would be most effective for developing first grade students'
knowledge of variables in subtraction equations?