Using a Calculator Level 3

Questions to test your ability to use a basic calculator, scientific calculator and a graphic display calculator.

BIDMASWorkoutBasicScientificGraphic displayDescriptionHelpMore...

This is level 3; Using a graphic display calculator. The questions provide practice using a calculator to obtain results accurately. You can earn a trophy if you get at least 9 questions correct.

1. Find the cube root of 21024.576
2. Use your calculator's equation solving function to find the largest root of the equation 3x² + 17x + 6 = 0 giving your answer to two decimal places.
3. Enter the following matrix into your calculator:
 4 2 1 4 2 4 1 4 1
Use the calculator function to find the determinant of the matrix.
4. Draw the graphs of y = x² and y = 2x on your calculator. Find, to three significant figures, the x-coordinate of the leftmost point of intersection.
5. Find the y-coordinate of the local maximum of the function f(x) = x3 - 9x2 + 1x + 4 giving your answer to two decimal places.
6. Enter the following data into your calculator then use the built in function to find the (population) standard deviation giving your answer to two decimal places. 1, 3, 5, 7, 11, 13, 14, 18, 23.
7. Enter the following two lists into your calculator then use the built in function to find the (population) standard deviation giving your answer to two decimal places.
ScoreFrequency
23
58
99
115
126
139
158
166
179
8. Use the calculator app for solving simultaneous equations to find the value of x from the following:
7.8x + 8.2y = 71.68
3.5x + 2.6y = 28.17
9. Use the calculator app to find the value of x from the following simultaneous equations:
5x + 9y + 8z = 118.5
4x + 8y + 3z = 72.3
5x + 2y + 6z = 83.6
10. In a clinical trial volunteers are testing a new medicine. Here are the results
ImprovedNo ImprovementTotal
Given medicine6584149
Not given medicine8197178
Total146181327

Find chi-squared(χ²) to three decimal places.
11. A lawyer invests her savings of $31000 in an account that pays 3% p.a. compounded monthly. How much interest will she earn in 6 months?$
12. Find the gradient of the least squares regression line fitting the following data points:
(48, 47), (43, 56), (75, 61), (73, 37), (66, 29), (25, 31), (26, 12), (37, 54), (56, 43), (69, 72), (15, 13), (29, 59).
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This is Graphic display calculator. You can also try:
BIDMAS Calculator Workout Basic calculator Scientific calculator

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy:

"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

Bidmaze

Find your way through the maze encountering mathematical operations in the correct order to achieve the given total. This is an addictive challenge that begins easy but develops into quite a difficult puzzle.

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

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Description of Levels

BIDMAS - Learn about the order of operations.

Calculator Workout - Examples of all the major calculator operations.

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Level 1 - Basic calculator quiz.

Level 2 - Scientific calculator quiz.

Level 3 - Graphic display calculator quiz.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Examples

Click on a link below to see an example and an animated key-press diagram of a calculator.

Skill 1: Basic Operations e.g. Calculate the value of $$9+4−7$$

Skill 2: Using Brackets e.g. Calculate the value of $$5(9-4)$$

Skill 3: Percentage of a quantity e.g. What is $$24% of 1800$$?

Skill 4: One quantity as a percentage of another e.g. What is $$45$$ as a percentage of $$150$$?

Skill 5: Squares and square roots e.g. Calculate the value of $$\sqrt{5^2 + 12^2}$$

Skill 6: Indices e.g. $$(3^3 + 2^4)^2$$

Skill 7: Cube roots e.g. Find the value of $$\sqrt[3]{27}$$

Skill 8: Standard Form e.g. Express $$236731$$ in standard form correct to 3 significant figures.

Skill 9: Areas of circles e.g. [Give all answers correct to three significant figures]. e.g. Find the area of a circle with a radius of 9cm.

Skill 10: Fraction calculations e.g. Find the value of $$3\frac13 + 2\frac25$$

Skill 11: Trigonometry e.g. Evaluate $$21 \sin34°$$ to three significant figures 1.

Skill 12: Degrees (or Hours), Minutes and Seconds e.g. Convert the angle 16°35'40" to its decimal equivalent.

Skill 13: Using Variables e.g. If $$A = 1.62$$, $$B = 9.87$$ and $$C = 5.62$$
evaluate $$AB+BC−AC$$.

Skill 14: Combinations e.g. How many different groups of 3 can be selected from 8?

Skill 15: Permutations e.g. In how many different ways could 1st, 2nd and 3rd place prizes can be awarded to 3 of 8 competitors?

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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