NZ Level 3
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Writing equations with unknowns II

Interactive practice questions

Rochelle has boxes of pears. Each box contains $19$19 pears, and there are $8$8 pears left over that didn't fit into any of the boxes. In total, she has $160$160 pears.

Let $m$m be the number of boxes of pears that Rochelle has. Fill in the blanks to make an equation in terms of $m$m.


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As part of his workout routine, Ned does $10$10 push-ups followed by $10$10 sit-ups. With a short break in between, he repeats the set of exercises $4$4 times.

Let $y$y be the total number of push-ups and sit-ups that Ned does. Fill in the blanks to make an equation.

Kenneth is a rock climber, and is scaling a cliff face. Part way up he slips, falling $4$4 m down before his harness catches him. He then continues, climbing the remaining $13$13 m to the top of the cliff. The cliff is $23$23 m tall.

Let $a$a be the height at which Kenneth slipped. Fill in the blanks to make an equation.

There are $110$110 men and $46$46 women waiting to board a train. When the train arrives, $26$26 people get on to each carriage.

Let $n$n be the number of carriages on the train. Fill in the blanks to make an equation.



Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns.

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