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2017 NCEA L2 Algebra

Authored by Sam Carroll

Mathematics

11th Grade

Used 2+ times

2017 NCEA L2 Algebra
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15 questions

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1.

MATH RESPONSE QUESTION

5 mins • 1 pt

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Simplify, leaving your answer with positive indices:

Mathematical Equivalence

OFF

2.

MATH RESPONSE QUESTION

5 mins • 2 pts

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Simplify, leaving your answer with positive indices.

Mathematical Equivalence

ON

3.

MATH RESPONSE QUESTION

5 mins • 2 pts

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b) Fully simplify the expression

Mathematical Equivalence

OFF

Answer explanation

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Factorising either the numerator or denominator got the Achieved mark.

Correct answer = Merit

4.

MATH RESPONSE QUESTION

5 mins • 3 pts

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David has mounted a square photo on a square piece of card as is shown.

The border around the photo is of constant width.

The photo has sides of length (n – 2) cm while the card has sides of (2n + 6) cm.

If the total area of the border is 200 square cm, find the width of the border.

(Round to 1 d.p. units not required)

Mathematical Equivalence

ON

Answer explanation

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Set up the Quadratic or find expression for width in terms of n for Achieved.

Find two Solutions for Merit.

Find Width for Excellence

5.

MATH RESPONSE QUESTION

5 mins • 3 pts

A teacher has hired a school bus for $560 for a day trip with students. The cost of hiring the bus is to be shared equally between the students. At the last moment, three of the students were unable to go. As a result, the cost to each of those who did go was increased by $1.50. How many students finally went on the trip?

Mathematical Equivalence

ON

Answer explanation

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A: Sets up Equation

M: Forms Quadratic

E: Solves

6.

MATH RESPONSE QUESTION

5 mins • 1 pt

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Solve the following equation for x:

Mathematical Equivalence

ON

Answer explanation

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7.

MATH RESPONSE QUESTION

5 mins • 2 pts

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Solve this equation for x:

Mathematical Equivalence

ON

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