Back to the lesson and practice
PrintablePractice worksheet
Do it🖨️ On paper✏️ On screen
Layout1 column2 columns
Answer keyNoneAnswersWith steps
Questions10162430
LevelEasierMixedHarder
Print sizeNormalLarge print
New copyMake a new one

Free to print and copy for home or class. This link always prints the same sheet.

eurekami

Express vector paths in terms of a and b

10th grade (Year 11 in England) · 16 questions · Common Core: HSN.VM.B.4 · England: GCSE Higher Geometry

Name

Date

Score/ 16

  1. Question 1

    OA = a and OB = b. M is the midpoint of AB. Find AM in terms of a and b.

    • A. b − a
    • B. 2b − a
    • C. ½b − ½a
    • D. a + b

  2. Question 2

    OA = a and OB = b. P lies on AB with AP : PB = 2 : 1. Find OP in terms of a and b.

    • A. a + (2/3)b
    • B. (2/3)b − (2/3)a
    • C. (1/3)a + (2/3)b
    • D. (2/3)a + (1/3)b

  3. Question 3

    OA = a and OB = b. M is the midpoint of AB. Find AB in terms of a and b.

    • A. 2b − a
    • B. ½a + ½b
    • C. b − a
    • D. ½b − ½a

  4. Question 4

    OA = a and OB = b. P lies on AB with AP : PB = 3 : 1. Find OP in terms of a and b.

    • A. a + (3/4)b
    • B. (3/4)a + (1/4)b
    • C. (1/2)a + (1/2)b
    • D. (1/4)a + (3/4)b

  5. Question 5

    OA = a and OB = b. M is the midpoint of AB. Find BA in terms of a and b.

    • A. 2b − a
    • B. a + b
    • C. ½a − ½b
    • D. a − b

  6. Question 6

    OA = a and OB = b. P lies on AB with AP : PB = 2 : 1. Find OP in terms of a and b.

    • A. (1/3)a + (2/3)b
    • B. a + (2/3)b
    • C. (1/2)a + (1/2)b
    • D. (2/3)a + (1/3)b

  7. Question 7

    OA = a and OB = b. M is the midpoint of AB. Find AB in terms of a and b.

    • A. a + b
    • B. a − b
    • C. b − a
    • D. ½a + ½b

  8. Question 8

    OA = a and OB = b. P lies on AB with AP : PB = 3 : 1. Find OP in terms of a and b.

    • A. (1/2)a + (1/2)b
    • B. (1/4)a + (3/4)b
    • C. a + (3/4)b
    • D. (3/4)b − (3/4)a

  9. Question 9

    OA = a and OB = b. M is the midpoint of AB. Find OM in terms of a and b.

    • A. ½b − ½a
    • B. ½a + ½b
    • C. b − a
    • D. 2b − a

  10. Question 10

    OA = a and OB = b. P lies on AB with AP : PB = 1 : 3. Find OP in terms of a and b.

    • A. (3/4)a + (1/4)b
    • B. (1/2)a + (1/2)b
    • C. a + (1/4)b
    • D. (1/4)a + (3/4)b

  11. Question 11

    OA = a and OB = b. M is the midpoint of AB. Find MB in terms of a and b.

    • A. 2b − a
    • B. ½a + ½b
    • C. ½b − ½a
    • D. ½a − ½b

  12. Question 12

    OA = a and OB = b. P lies on AB with AP : PB = 3 : 1. Find OP in terms of a and b.

    • A. (1/2)a + (1/2)b
    • B. (1/4)a + (3/4)b
    • C. a + (3/4)b
    • D. (3/4)a + (1/4)b

  13. Question 13

    OA = a and OB = b. M is the midpoint of AB. Find AM in terms of a and b.

    • A. a + b
    • B. ½b − ½a
    • C. b − a
    • D. ½a − ½b

  14. Question 14

    OA = a and OB = b. P lies on AB with AP : PB = 2 : 1. Find OP in terms of a and b.

    • A. (1/3)a + (2/3)b
    • B. (2/3)a + (1/3)b
    • C. a + (2/3)b
    • D. (1/2)a + (1/2)b

  15. Question 15

    OA = a and OB = b. M is the midpoint of AB. Find AB in terms of a and b.

    • A. ½a − ½b
    • B. a + b
    • C. b − a
    • D. ½b − ½a

  16. Question 16

    OA = a and OB = b. P lies on AB with AP : PB = 2 : 1. Find OP in terms of a and b.

    • A. a + (2/3)b
    • B. (2/3)a + (1/3)b
    • C. (1/3)a + (2/3)b
    • D. (1/2)a + (1/2)b

All done? Color in the animal! · Free from eurekami.com/math

for the adult only

Answer key: Express vector paths in terms of a and b

  1. 1. C. ½b − ½a

  2. 2. C. (1/3)a + (2/3)b

  3. 3. C. b − a

  4. 4. D. (1/4)a + (3/4)b

  5. 5. D. a − b

  6. 6. A. (1/3)a + (2/3)b

  7. 7. C. b − a

  8. 8. B. (1/4)a + (3/4)b

  9. 9. B. ½a + ½b

  10. 10. A. (3/4)a + (1/4)b

  11. 11. C. ½b − ½a

  12. 12. B. (1/4)a + (3/4)b

  13. 13. B. ½b − ½a

  14. 14. A. (1/3)a + (2/3)b

  15. 15. C. b − a

  16. 16. C. (1/3)a + (2/3)b