{"id":926,"date":"2026-01-02T15:47:45","date_gmt":"2026-01-02T05:47:45","guid":{"rendered":"https:\/\/archive4ones.com\/2ndstudy\/?p=926"},"modified":"2026-01-02T20:27:51","modified_gmt":"2026-01-02T10:27:51","slug":"year11-math-1-2-practice","status":"publish","type":"post","link":"https:\/\/archive4ones.com\/2ndstudy\/?p=926","title":{"rendered":"Year11-MATH-1-2-Practice"},"content":{"rendered":"\n

This mock exam is designed to test your mastery of Units 1 and 2<\/strong> of the QCAA Essential Mathematics<\/strong> syllabus. It covers practical applications in finance, logistics, data analysis, and measurement, focusing on the precision required for high-achieving students.<\/p>\n\n\n\n

Mock Exam: Essential Mathematics Units 1 & 2<\/p>\n\n\n\n

I have generated 10 comprehensive questions that span the key chapters of Units 1 and 2, focusing on the higher-level applications suitable for an excellent student. Good luck with your preparation\u2014pay close attention to the units and the context of each problem!<\/p>\n\n\n\n

1.<\/strong><\/p>\n\n\n\n

A builder measures the length of a room to be <\/strong>4.50 m. However, the actual length is <\/strong>4.58 m. Calculate the percentage error of this measurement, rounded to two decimal places.<\/strong><\/p>\n\n\n\n

A. 1.78%<\/p>\n\n\n\n

B. 0.08%<\/p>\n\n\n\n

C. 1.75%<\/p>\n\n\n\n

D. 0.02%<\/p>\n\n\n\n

Hint: Start by finding the absolute difference between the measured and actual values.<\/p>\n\n\n\n

2.<\/strong><\/p>\n\n\n\n

A water tank is in the shape of a cylinder with a radius of <\/strong>2 m and a height of <\/strong>3 m. If the tank is currently half full, how many liters of water are inside? (Use <\/strong>\u03c0<\/em>\u22483.14 and recall <\/strong>1 m3=1000 L)<\/strong><\/p>\n\n\n\n

A. 37,680 L<\/p>\n\n\n\n

B. 18,840 L<\/p>\n\n\n\n

C. 9,420 L<\/p>\n\n\n\n

D. 12,000 L<\/p>\n\n\n\n

Hint: Calculate the total volume using the cylinder formula first, then divide by two.<\/p>\n\n\n\n

3.<\/strong><\/p>\n\n\n\n

The formula for simple interest is <\/strong>I<\/em>=Prt<\/em>. If a student earns <\/strong>$450 in interest over <\/strong>3 years on an investment of <\/strong>$5,000, what was the annual interest rate <\/strong>(r<\/em>)?<\/strong><\/p>\n\n\n\n

A. 9%<\/p>\n\n\n\n

B. 3%<\/p>\n\n\n\n

C. 1.5%<\/p>\n\n\n\n

D. 0.03%<\/p>\n\n\n\n

Hint: Rearrange the formula to isolate r<\/em> before substituting the known values.<\/p>\n\n\n\n

4.<\/strong><\/p>\n\n\n\n

A dataset of five employees’ weekly wages is: <\/strong>$800,$850,$850,$900,$2,500. Which measure of central tendency would be the most ‘fair’ representation of the typical wage?<\/strong><\/p>\n\n\n\n

A. Total Sum<\/p>\n\n\n\n

B. Median<\/p>\n\n\n\n

C. Range<\/p>\n\n\n\n

D. Mean<\/p>\n\n\n\n

Hint: Look at the data for any values that are significantly different from the others.<\/p>\n\n\n\n

5.<\/strong><\/p>\n\n\n\n

A flight leaves Brisbane (UTC+10) at 10:00 AM on Monday and arrives in Perth (UTC+8) after a 5.5-hour journey. What is the local time in Perth upon arrival?<\/strong><\/p>\n\n\n\n

A. 11:30 AM Monday<\/p>\n\n\n\n

B. 1:30 PM Monday<\/p>\n\n\n\n

C. 3:30 PM Monday<\/p>\n\n\n\n

D. 12:30 PM Monday<\/p>\n\n\n\n

Hint: Convert the departure time to the destination’s time zone before adding the travel time.<\/p>\n\n\n\n

6.<\/strong><\/p>\n\n\n\n

A truck has a fuel consumption rate of <\/strong>12 L\/100 km. If diesel costs <\/strong>$1.85 per liter, how much will fuel cost for a <\/strong>450 km trip?<\/strong><\/p>\n\n\n\n

A. $22.20<\/p>\n\n\n\n

B. $120.00<\/p>\n\n\n\n

C. $99.90<\/p>\n\n\n\n

D. $83.25<\/p>\n\n\n\n

Hint: First determine the total liters of fuel needed for the entire distance.<\/p>\n\n\n\n

7.<\/strong><\/p>\n\n\n\n

An employee earns <\/strong>$25 per hour for a 38-hour week. Any hours over 38 are paid at ‘time-and-a-half’. If they work 42 hours in one week, what is their gross pay?<\/strong><\/p>\n\n\n\n

A. $1,100<\/p>\n\n\n\n

B. $1,050<\/p>\n\n\n\n

C. $1,000<\/p>\n\n\n\n

D. $1,575<\/p>\n\n\n\n

Hint: Calculate the normal pay and the overtime pay separately, then add them together.<\/p>\n\n\n\n

8.<\/strong><\/p>\n\n\n\n

A scatter plot shows the relationship between daily temperature and ice cream sales. If the points generally follow a straight line going upwards from left to right, what is the correlation?<\/strong><\/p>\n\n\n\n

A. No Correlation<\/p>\n\n\n\n

B. Positive Correlation<\/p>\n\n\n\n

C. Inverse Correlation<\/p>\n\n\n\n

D. Negative Correlation<\/p>\n\n\n\n

Hint: Consider if both variables are moving in the same direction.<\/p>\n\n\n\n

9.<\/strong><\/p>\n\n\n\n

Which of the following describes ‘Interpolation’ in the context of a line of best fit?<\/strong><\/p>\n\n\n\n

A. Predicting a value that lies outside the range of the original data points.<\/p>\n\n\n\n

B. Identifying an outlier in the dataset.<\/p>\n\n\n\n

C. Calculating the average of all data points.<\/p>\n\n\n\n

D. Predicting a value that lies within the range of the original data points.<\/p>\n\n\n\n

Hint: Think about whether the prediction is inside (‘inter’) or outside (‘extra’) the current data set.<\/p>\n\n\n\n

10.<\/strong><\/p>\n\n\n\n

Supplier X sells a <\/strong>5 kg box of screws for <\/strong>$45. Supplier Y sells a <\/strong>2 kg box for <\/strong>$20. Which is the better value based on unit price?<\/strong><\/p>\n\n\n\n

A. They are the same value<\/p>\n\n\n\n

B. Supplier X is better value<\/p>\n\n\n\n

C. Supplier X is more expensive per unit<\/p>\n\n\n\n

D. Supplier Y is better value<\/p>\n\n\n\n

Hint: Calculate the cost per single kilogram for both suppliers to make a fair comparison.<\/p>\n","protected":false},"excerpt":{"rendered":"

This mock exam is designed to test your mastery of Units 1 and 2 of the QCAA Essential Mathematics syllabus. It covers practical applications in finance, logistics, data analysis, and measurement, focusing on the precision required for high-achieving students. Mock Exam: Essential Mathematics Units 1 & 2 I have generated 10 comprehensive questions that span […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[],"class_list":["post-926","post","type-post","status-publish","format-standard","hentry","category-math"],"_links":{"self":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts\/926","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=926"}],"version-history":[{"count":2,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts\/926\/revisions"}],"predecessor-version":[{"id":954,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts\/926\/revisions\/954"}],"wp:attachment":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=926"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=926"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=926"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}