7th & 8th Grade Math

How to Calculate the Maximum Area of a Triangle

A popular road in California is famous for its steepness and turns. It has been filmed for many car chases. In 1920 the builder decreased the slope from 27% to 14% to fit a 12-15% highway requirement. What is the difference from the length of the old road and the new road if the height of the hill is 600 feet? What is the percent increase?

Imagine you just bought an item and you wanted to know what the wholesale price was. You are told the mark up was 20%. Do you know what the initial price was if you paid $100? Watch this video for an EZ PZ way to calculate the original cost.

7th & 8th Grade Math Drill #4 Download Instructions, Test, Answer Sheet & Answer Key PDF: http://katedalby.com/wp-content/uploads/2019/04/MathDrills04.pdf

7th & 8th Grade Math Drill #3 Download Instructions, Test, Answer Sheet & Answer Key PDF: http://katedalby.com/wp-content/uploads/2019/04/MathDrills03.pdf

7th & 8th Grade Math Drill #2 Download Instructions, Test, Answer Sheet & Answer Key PDF: http://katedalby.com/wp-content/uploads/2019/04/MathDrills02.pdf

7th & 8th Grade Math Drill #1 Download Instructions, Test, Answer Sheet & Answer Key PDF: http://katedalby.com/wp-content/uploads/2019/04/MathDrills01.pdf

TJ SIS Math Problem 2020 A popular road in California is famous for its steepness and turns. It has been filmed for many car chases. In 1920 the builder decreased the slope from 27% to 14% to fit a 12-15% highway requirement. What is the difference between the length of the old road and the new road if the height of the hill is 600 feet? What is the percent increase? Visit www.katedalby.com For online math drills visit katedalby.com/vmd01/

TJHSST admissions exam question, aka SIS, adaptation of SIS Math Problem 2019. Here is a reconstruction of the 2019 SIS Math question based on discussions with students and my own internet research. The Chesapeake Bay holds about 18 trillion gallons of water. The Bay covers about 4,480 square miles or 2,867,200 acres. For working the problem I rounded up to three (3) million. Each acre can hold 750,000 oysters. Each oyster can filter 50 gallons of water every day. Can there be enough oysters to filter the whole Chesapeake Bay in one day? Contact Kate Dalby at kvs@katedalby.com or call/text 703-203-5796 For more information about Inspiring Test Preparation's programs, visit www.katedalby.com To access her math drills for TJ, SSAT, ISEE, and HSPT prep, click https://katedalby.com/vmd01/

This question is adapted from SAT # 6 section 4; questions 17-19 https://collegereadiness.collegeboard.org/pdf/sat-practice-test-6.pdf Contact Kate Dalby at kvs@katedalby.com or call/text 703-203-5796 For more information about Inspiring Test Preparation's programs, visit www.katedalby.com To access her math drills for TJ, SSAT, ISEE, and HSPT prep, click https://katedalby.com/vmd01/

Students were given the following problem: You have a population of 1000 penguins. 500 pairs produce one chick per pair. At the end of each year there is a loss of 20% of the total population. Figure out how many penguins there will be at the end of seven years. Develop a formula that solves the problem. Contact Kate Dalby at kvs@katedalby.com or call/text 703-203-5796 For more information about Inspiring Test Preparation's programs, visit www.katedalby.com To access her math drills for TJ, SSAT, ISEE, SHSAT and HSPT prep, click https://katedalby.com/vmd01/

This is an approximation of the February 20, 2016 TJ SIS Math Problem: It’s 5:30 AM, and as a helicopter pilot you’ve just been told there’s an injured man on a boat you need to get to a hospital. The boat is going towards where you are at 10 mph, but is currently 400 miles away. You need to get to him as soon as possible, but you only have 6600 lbs of fuel in your helicopter, which burns 1200 lbs per hour, and always travels at 150 mph. Also, you need to account for 30 min of fuel spent hovering over the boat to get the man into the helicopter, and 1 extra hour of fuel due to helicopter standards. Therefore, when can you depart your station to get the man as soon as possible? Contact Kate Dalby at kvs@katedalby.com or call/text 703-203-5796 For more information about Inspiring Test Preparation's programs, visit www.katedalby.com To access her math drills for TJ, SSAT, ISEE, SHSAT and HSPT prep, click https://katedalby.com/vmd01/

Review of two rules to determine the exterior and interior angle of a polygon Contact Kate Dalby at kvs@katedalby.com or call/text 703-203-5796 For more information about Inspiring Test Preparation's programs, visit www.katedalby.com To access her math drills for TJ, SSAT, ISEE, SHSAT and HSPT prep, click https://katedalby.com/vmd01/

Explanation of Exponent Rule for multiplying and raising to a power Contact Kate Dalby at kvs@katedalby.com or call/text 703-203-5796 For more information about Inspiring Test Preparation's programs, visit www.katedalby.com To access her math drills for TJ, SSAT, ISEE, SHSAT and HSPT prep, click https://katedalby.com/vmd01/

Explanation of the Exponent Rule for Division of two numbers with exponents. Contact Kate Dalby at kvs@katedalby.com or call/text 703-203-5796 For more information about Inspiring Test Preparation's programs, visit www.katedalby.com To access her math drills for TJ, SSAT, ISEE, SHSAT and HSPT prep, click https://katedalby.com/vmd01/

Explanation of Exponent Rule for Combining Exponents with Different Bases Contact Kate Dalby at kvs@katedalby.com or call/text 703-203-5796 For more information about Inspiring Test Preparation's programs, visit www.katedalby.com To access her math drills for TJ, SSAT, ISEE, SHSAT and HSPT prep, click https://katedalby.com/vmd01/

In this video you will learn how to change a quadratic equation from the standard form to the vertex form by completing the square. Contact Kate Dalby at kvs@katedalby.com or call/text 703-203-5796 For more information about Inspiring Test Preparation's programs, visit www.katedalby.com To access her math drills for TJ, SSAT, ISEE, SHSAT and HSPT prep, click https://katedalby.com/vmd01/

Explanation of question 19 from test 7, section 7 of old SAT. P.790 Contact Kate Dalby at kvs@katedalby.com or call/text 703-203-5796 For more information about Inspiring Test Preparation's programs, visit www.katedalby.com To access her math drills for TJ, SSAT, ISEE, SHSAT and HSPT prep, click https://katedalby.com/vmd01/

Explanation for last 2 problems of section 3. Student Produced Response. Contact Kate Dalby at kvs@katedalby.com or call/text 703-203-5796. For more information about Inspiring Test Preparation's programs, visit www.katedalby.com To access her math drills for TJ, SSAT, ISEE, SHSAT and HSPT prep, click https://katedalby.com/vmd01/

Solving a Question Involving Fractional Exponents Contact Kate Dalby at kvs@katedalby.com or call/text 703-203-5796. For more information about Inspiring Test Preparation's programs, visit www.katedalby.com To access her math drills for TJ, SSAT, ISEE, SHSAT and HSPT prep, click https://katedalby.com/vmd01/