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Measuring and Adding Angles: Grade 4 Math Test – PDF Download

    Measuring and Adding Angles – Grade 4 math test

    This test covers standards 4.MD.C.5, 4.MD.C.6, and 4.MD.C.7. You need a protractor and a pencil. The 9 questions are worth 20 points in all. Show your work for every question that asks for an equation. Allow 45 minutes.

    Test information
    • Grade: Grade 4
    • Chapter: Measuring and Adding Angles
    • Common Core: 4.MD.C.5, 4.MD.C.6, 4.MD.C.7
    • Time: 45 minutes
    • Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 3 pts; Question 6: 2 pts; Question 7: 3 pts; Question 8: 2 pts; Question 9: 2 pts)

    Question 1: Turns and degrees (2 points)

    Use the circle.

    1/4 turn
    1. Write the number of degrees in a half turn. (1 point)
    2. Write the fraction of a circle that an angle of \(90^{\circ}\) turns through. (1 point)

    Question 2: One-degree angles (2 points)

    1. An angle opens through 110 one-degree angles. Write its measure. (1 point)
    2. An angle measures \(60^{\circ}\). Write the number of one-degree angles that make it. (1 point)

    Question 3: Reading a protractor (2 points)

    Use the protractor. Ray A lies on the 0 mark.

    0102030405060708090100110120130140150160170180ACB
    1. Find the measure of the angle formed by rays A and C. (1 point)
    2. Find the measure of the angle formed by rays A and B. (1 point)

    Question 4: Rays not on zero (2 points)

    Find the measure of the angle formed by rays P and Q. Show how you found it.

    0102030405060708090100110120130140150160170180PQ

    Question 5: Draw an angle (3 points)

    Use a protractor to draw an angle of \(70^{\circ}\) with the vertex at the dot and the ray shown as one side.

    1. Draw the angle. (2 points)
    2. Label the angle with its measure. (1 point)

    Question 6: Adding angle measures (2 points)

    Ray OD splits angle AOB into two angles. Find the measure of angle AOB.

    ADB38°47°?
    1. Write an equation. (1 point)
    2. Solve it. (1 point)

    Question 7: Unknown angles (3 points)

    Find the measure of each unknown angle.

    1. The square corner measures \(90^{\circ}\). Find x. (1 point)
      34°x
    2. The angles on the straight line add up to \(180^{\circ}\). Write an equation and find y. (2 points)
      72°y

    Question 8: Equation with a letter (2 points)

    Angle ABC measures \(142^{\circ}\). Ray BD splits it into angle ABD, which measures \(87^{\circ}\), and angle DBC. Write an equation with a letter for the measure of angle DBC and solve it.

    Question 9: Angle on a clock (2 points)

    The 12 numbers on a clock are equally spaced. Use the clock showing 5:00.

    123456789101112
    1. Find the measure of the angle formed by the hands. (1 point)
    2. Find how many degrees greater it is than a quarter turn. (1 point)

    Measuring and Adding Angles: Grade 4 test answer key

    See every chapter on the Grade 4 math page.

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