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DUCK SHOOT
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Instructions graphic for math game duck-shoot
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Game: DUCK SHOOT

Aim: Shoot as many ducks as you can

Method:
Use the catapult to shoot balls at the rows of ducks crossing the screen. Answer questions to win extra points.

Your final score is based on ducks hit or missed and the number of questions answered correctly.

Multiply indices
      
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The DUCK SHOOT game to practice
'Multiply indices' for 8th grade

Multiply indices by adding powers

What are indices?

Indices are terms that have been raised to a power such as 5⁶ or x³ or 4y⁴. Raised to the power means the term has been multiplied by itself that number of times.

4³ = 4 x 4 x 4     and     a⁵ = a x a x a x a x a

So the term indice simply means a number or term raised to a power.


How to multiply indices with the same base

In order to be able to multiply indices by adding powers, the indices must have the same base. So a³ and a⁶ have the same base "a", but x³ and y⁶ do not have the same base and cannot be simplified using the methods on this page.

To see why we can add powers to multiply indices with the same base, consider the expression a³ x a⁴. If we expand both indices we get:

(a x a x a) x (a x a x a x a) = a x a x a x a x a x a x a = a⁷

So we can see that multiplying a³ x a⁴ gives us a multiplied by itself 7 times, which you will notice is the same as adding the powers of the two terms.

a³ x a⁴ = a⁷

y⁴ x y⁴ = y⁸

If one or more of the terms is raised to a negative power, you follow the standard rules of arithmetic to compute the powers through adding and taking away.

p⁵ x p³ x p⁻³ = p⁵

p⁻⁵ x p⁴ x p⁻³ = p⁻⁴

If there are coefficients associated with the indices, multiply the coefficients first then add the powers to simplify the expression.

6y⁴ x 7y⁴ = 42y⁸

7p⁵q³ x 4p⁻³q² = 28p²q⁵

With our Duck shoot math game you will be practicing the topic "Multiply indices" from 8th grade / Number / Powers & Roots / Powers & Roots. The math in this game consists of 16 questions that ask you to multiply indices with the same base by adding powers e.g. 5a³ x 6a² = 30a⁵.

DUCK SHOOT is a fairground themed game of knocking ducks off the rail to score points

Large thumbnail for math game Duck shoot

DUCK SHOOT is a fun game to learn math where you attempt to knock over all the fairground ducks in each level. In the first level there are only 6 ducks but by level 10 there are 24 fast moving "quackers quacking"...

After each level, win an additional 20 points by correctly answering a math question from your selected topic. There is no timer in this game: take as long as you like to answer the math questions correctly for a best score to get you on the DUCK SHOOT leaderboard.

Notes

  • This is a fun game of knocking over as many tin ducks as you can
  • Also suitable for tablets and mobiles (it's actually more fun than with a mouse)
  • Answer math questions correctly for a higher score
  • No timer element, you can relax and concentrate on getting your math right!
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How to play DUCK SHOOT to practice
'Multiply indices' for 8th grade

DUCK SHOOT is a fairground themed game of knocking ducks off the rails to win points.

How to play Duck shoot 1

How to play Duck shoot 2

How to play Duck shoot 3

  1. In each level of DUCK SHOOT, knock over as many ducks as you can.
  2. Drag the orange ball back and away from the ducks then let go.
  3. This will release a flying ball that will shoot towards the ducks (hopefully).
  4. Any duck the flying ball hits will fall off the rail.
  5. You get 5 points for each duck you hit.
  6. You lose 5 points for each duck that escapes.
  7. When all the ducks have been knocked off or have exited the screen, you get a math question from your selected topic.
  8. Answering the question correctly adds 20 points to your score.
  9. A wrong answer takes 10 points away from your score.
  10. In each level there are more ducks.
  11. Your final score is a combination of the number of ducks you hit minus the number that escaped, plus the points you get from the math questions.
  12. There is a high score leaderboard for each topic.
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