Maths Word Problems Year 7 | Ratios, Percentages and Geometry with Answers

Maths word problems year 7 for problem solving practice

These maths word problems year 7 are a 12 page packet with 80 questions for 7th grade. Students use arithmetic, ratios, percentages, geometry and one-step algebra to solve everyday problems.

The questions move from basic problem solving to ratios and percentages, then to true or false statements about math rules, geometry and measurement, and algebraic word problems with short answers.

Teachers who need maths word problems year 7 for a problem solving unit will find five sections here, and the packet comes with an answer key, an answer sheet and a lesson plan.

What’s on the pages

The worksheet has five sections, and each one has its own heading and directions.

• Basic problem solving and arithmetic: 20 multiple choice questions, such as the perimeter of a garden 10 meters long and 5 meters wide, the value of 8 x 7 – 5 and 500 milliliters of water with 150 poured out.
• Ratios, proportions and percentages: 20 multiple choice questions, such as 20% of 50, $80 earned in 4 hours and 4 event tickets that cost $32.
• Mathematical logic and equations: 20 true or false statements, such as a right angle measuring 90 degrees, the value of 10 – 2 x 3 and the sum of the angles in a triangle.
• Geometry and measurement: 10 short answer questions, such as the circumference of a circle with a radius of 7 cm using 3 for pi, the degrees in a straight line and the perimeter of a regular hexagon.
• Algebraic word problems: 10 short answer questions, such as 120 apples in 10 baskets, a reader who reads 3 times as many books as another and a number multiplied by 6 that equals 42.

The short answer sections ask for a number only, so students must carry out the steps on scratch paper and check their work.

What’s in the download

• Student worksheet: 12 pages
• Answer key: 15 pages, with a short explanation after each answer
• Answer sheet: 4 pages
• Lesson plan: 2 pages

The four parts add up to 33 pages, and everything comes as PDF.

How to use these maths word problems year 7

The lesson plan is set for 90 minutes. Its objectives are to apply basic arithmetic to real-world word problems, to calculate and simplify ratios, proportions and percentages, to judge math statements for logic and accuracy, to use geometry formulas for area, perimeter and volume, and to solve one-step algebraic equations and word problems.

The plan starts by giving each student a worksheet and an answer sheet. The materials list a printed worksheet and answer sheet for each student, a teacher copy of the answer key, and pencils and scratch paper for calculations.

Remind students to underline the numbers and circle the question before they pick an operation. For the ratio questions, a small table of values often makes the pattern clear.

Short sections work well as a daily warm up, so you can spread the five sections over a week.

The answer sheet keeps the worksheet clean for reuse, and the answer key gives a short explanation after every answer.

Families who look for maths problem solving year 7 or a 7th grade math problem solving set will find a full range here, and the maths word problems year 7 with answer key pages let a helper check the work quickly.

Where it fits

Use it for a problem solving unit, math centers, homework, intervention or a review before a test. Homeschool families can work through one section a day.

Take a look at the preview pages before you buy, so you can see the worksheet, the answer key and the answer sheet.

For more practice, browse the math worksheets, the wider set of printable worksheets or the whole shop.

Many teachers use these maths word problems year 7 in a weekly routine, one section per day, and repeat the set after a few weeks to see growth.

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