Math 350 - PRACTICE TEST: Problem Solving, Numeration, Add & Subtract Whole #s

  1. List the four (from TEKS) or five (Private Eye) steps of problem solving. List at least six (out of 10) strategies of problem solving.
  1. Use the clues to fill in a 3 X 3 square to the right with the digits 1 through 9. Each number is used once.

8 is in the center row left. / 2 is below 9.
5 is in the lower right corner. / 3 is above 9.
1 is to the right of 9. / 7 is to the right of 3.
  1. Target practice: Use three of the four given numbers in the blanks to equal the target number.

Given: 2 3 5 7_____ + _____ - _____ = 9

  1. If I were four less than I am, I would be three more than eleven. What is my age?
  1. Five girls belong to a checker club. If each girl plays each of the other girls twice. How many games are played?
  1. I am the largest three-digit number that contains no eights or nines and no repeats. Who am I?
  1. The sum of my two digits is ten. Their difference is four. If you divide me by ten, the remainder is less than five. Who am I?
  1. How many triangles?
  1. The White, Green and Brown families each own a house and a car. One house is white, one is green, and one is brown. The cars are the same three colors. No family’s name is the same as its house or car color. The Green family’s house is the same as the Brown’s car. What are the colors of each family’s house and car?
  1. Find the next two figures. How many squares in the 10th figure? How many in the nth figure?

1 2 3 4

  1. It is a four-digit whole number. Each of its digits is even. Each of its digits is different. The sum of its ones digit and its hundreds digit is 10. The sum of its tens digit and its thousands digit is 10. It is greater than 7000. It is divisible by 4. The numeral 0 is not one of its digits. It is divisible by 8. Its hundreds digit is 6. What is the number?
  2. Determine the zip code (ABCDE) of Artic Village, Alaska, given the following clues:

Only A, B, and C are odd numbers.B > CA and B are square numbers.

C, D, and E are prime numbers.A – C = E

  1. If the Universal Set = {digits} and A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, find the following:
  2. A ∩ Bb. A U Bc. A’d. (A U B)’e. A’ ∩ B
  1. Little John was tall for his time and had quite a long stride. In order to keep up with Little John, Friar Tuck had to take three steps for every two of Little John’s. One day they decided to go for a walk together. They started at the same place and stepped out with their right feet. After how many steps did Tuck and John put their left feet down at the same time?
  1. The science class is collecting insects. They study them carefully for an hour, then let them go. All collections have lady bugs, grasshoppers, and crickets. Solve the problems below.
  1. Tom’s collection: 8 insects in all. ½ of the insects are ladybugs. ¼ of the insects are grasshoppers.

L = _____, G = _____, C = _____

  1. Alvin’s collection: 10 insects in all. ½ of the insects are ladybugs. 1/5 of the insects are

grasshoppers.

L = _____, G = ______, C = _____

  1. Complete the pattern by filling in the blank boxes.
  1. Complete the table:

Cubes in tail / 1 / 2 / 3 / 10 / 100 / N /
Cubes in all
  1. At Blueville ISD, 5/8 of the teachers have less than 5 years teaching experience. 15 teachers have 5 or more years teaching experience. How many teachers are on staff at Blueville ISD?

NUMERATION

  1. Write a number card, numeral card and set card for the concept of six.

Number: / Numeral: / Set:
  1. Determine the value of the 5 in each numeral.

A. 14,752,301B. 6,007,285C. 5,862,431D. 1,596

  1. For the numeral 523, write / draw the following:
  2. Base-10 block modelb. Word namec. Expanded form
  1. Round 1,234,567,890 to the nearest …

A. thousandB. millionC. hundredD. ten-thousand

Work is required on the following problems.

  1. 13510= ______4 Explain your answer with place values or drawings.
  1. 26710 = ______6 Explain your answer with place values or drawings.
  1. 1367 = ______10 Explain your answer with place values or drawings.
  1. 2101023 = ______10 Explain your answer with place values or drawings.
  1. Definitions: One-to-one correspondence, cardinal, nominal and ordinal numbers, place values, addends, sum, difference
  1. Studythe sample test questions handed out with our Venn Diagram notes.

The following problems should be worked with the indicated model.

  1. 512 + 278 with base-10 blocks.
  1. 512 – 278 with base-10 blocks.
  1. 5 + ? = 12 by the comparison model on the number line.

Be able to write an application (story) problem for any of the following types.

  1. Join with either original, part added, or result unknown.
  1. Separate with either original, part, or result unknown.
  1. Part-part-whole with either part or whole unknown.
  1. Addition / subtraction comparison with small amount, difference, or large amount unknown.