NZ Level 3
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Solve problems with mixed operations II
Lesson

When we have a number problem that uses a mixture of mathematical operations, figuring out how to solve them can be tricky. This video shows you how to think about what you need to find out first, and how to work through the problem in steps.

 

Worked Examples

Question 1

In a test, you receive $2$2 marks for every correct answer, and $8$8 marks for also getting a special bonus question correct.

  1. If Bart got $9$9 questions correct, as well as the bonus question, how many marks will he receive in total?

Question 2

At a self-serve checkout, a couple is sorting their groceries into plastic-free bags. They have a total of $53$53 items and place $5$5 items aside to carry on their own. The remaining $48$48 items are evenly separated into their bags, with $12$12 items in each bag.

  1. Which number sentence describes the amount of bags and items they have to carry?

    $48\div12+5$48÷​12+5

    A

    $48+12\times5$48+12×5

    B

    $48+12\div5$48+12÷​5

    C

    $48\times12+5$48×12+5

    D

    $48\div12+5$48÷​12+5

    A

    $48+12\times5$48+12×5

    B

    $48+12\div5$48+12÷​5

    C

    $48\times12+5$48×12+5

    D
  2. Calculate the number of bags and items the couple have to carry.

Question 3

$3$3 people on a farm are given five minutes to pick as many apricots as they can. They get to keep all the ripe apricots they pick, as well as an equal split of $30$30 ripe apricots between the three of them (which were pre-picked earlier in the day).

  1. If Justin (one of the three people) picks $33$33 apricots, $15$15 of which are unripe, how many apricots will Justin get to keep in total?

Outcomes

NA3-1

Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.

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