School Maths Revision 学校数学复习

Today we are considering giving our children some mathematical word problems to solve. The best website for this purpose is the IXL site. In New Zealand the website is https://nz.ixl.com/maths/ and for the syllabus in Australia the website is https://au.ixl.com/maths/

今天我们正在考虑给我们的孩子一些数学问题来解决。用于此目的的最佳网站是 IXL 网站。在新西兰，该网站是 https://nz.ixl.com/maths/，而对于澳大利亚的教学大纲，该网站是 https://au.ixl.com/maths/

The website allows our children to self-test ten questions a day on any topic covered by the school’s curriculum. These sample questions are available for free. We are downloading some of these questions for discussion below.
该网站允许我们的孩子每天针对学校课程涵盖的任何主题自测十个问题。这些示例问题是免费提供的。我们正在下载其中一些问题以供讨论。

The questions will not be translated. If you want the Chinese version, kindly drop us a note in the comment column and we shall respond, Thanks.

这些问题不会被翻译。如果你想要中文版，请在评论栏中给我们留言，我们会回复，谢谢。

Questions on Ratios:

Q # 1: Are these ratios equivalent?

1 pie to 7 cakes; 2 pies to 14 cakes

Q # 2: Are these ratios equivalent?

14 large blankets to 2 small blankets; 21 large blankets to 7 small blankets.

Q # 3: Are these ratios equivalent?

16 friends : 2 family members; 5 friends : 1 family member.

Q # 4: Mrs. Todd and Mrs. Molina took polls of their second-grade classes to find out their students’ favourite colours. In Mrs. Todd’s class, 6 students said their favourite colour was blue and 9 said their favourite colour was red. In Mrs. Molina’s class, 8 voted for blue and 12 for red. Whose class had a higher ratio of students who preferred blue to students who preferred red?

Q # 5: Stefan and Gabrielle are photographers who specialise in portraits. Last year, Stefan photographed 9 individuals and 6 families. Gabrielle photographed 19 individuals and 11 families. Who photographed a higher ratio of individuals to families?

Q # 6: Castroville Intermediate School’s orchestra has 20 violin players and 16 flute players. Bluepoint Intermediate School’s orchestra, on the other hand, has 5 violin players and 4 flute players. Which intermediate school has a lower ratio of violin to flute players?

Q # 7: Ellen went on a two-day fishing trip. On the first day, she caught 7 catfish and 10 trout. On the second day, she caught 16 catfish and 20 trout. On which day of the fishing trip did Ellen catch a higher ratio of catfish to trout?

Q # 8: In Abby’s class, 10 of the students have blue eyes and 20 have brown eyes. In Herman’s class, 6 of the students have blue eyes and 12 have brown eyes. Which class has a lower ratio of blue-eyed to brown-eyed students?

Q # 9: Do the ratios 1 / 2 and 10 / 18 form the same proportion?

Q # 10: Mariana measured a summer camp and made a scale drawing. The sand volleyball court, which is 16 metres long in real life, is 4 millimetres long in the drawing. What is the scale of the drawing?

Q # 11: Julian drew a scale drawing of the primary school. The scale he used was 1 centimetre : 8 metres. In the drawing, the school yard is 12 centimetres wide. What is the width of the actual school yard?

Q # 12: Marco made a scale drawing of a house and its lot. He used the scale 1 millimetre : 3 metres. The actual length of the back patio is 24 metres. How long is the patio in the drawing?

Questions on Percentages:

Q # 1: Sweet Treats Bakery is placing an order for 11 205 kilograms of sugar. That is 50% more than the bakery requested in its last order. How much sugar did Sweet Treats Bakery order then?

Q # 2: The average class size at Broadford Secondary School is 42 students, which is 40% larger than it was a decade ago. What was the average class size then?

Q # 3: This year’s graduating class at Richmond Secondary School is 592 students, which is 85% larger than it was a generation ago. What was the size of the graduating class then?

Q # 4: Hall Real Estate is a national real estate company that sells houses across the country. This year, Hall Real Estate sold 42 675 homes. This turns out to be 25% more than they sold last year. How many homes did they sell last year?

Q # 5: This month, a carpenter made 9 tables. That is 50% more than he made last month. How many tables did the carpenter make last month?

Q # 6: Brandon just measured his dog and found out that it weighs 135 kilograms, which is 50% more than the last time Brandon measured. How much did the dog weigh last time?

Q # 7: This season, Harrington Theatre sold 2736 tickets to Shakespearean plays. That is 55% fewer than the theatre sold last season. How many tickets to Shakespearean plays did the theatre sell last season?

Q # 8: This week, Michelle’s family watched 9 hours of TV. That is 25% fewer hours than they watched last week. How many hours of TV did Michelle’s family watch then?

Q # 9: Talia, a professional golfer, has an average score of 72 points so far this season, which is 10% lower than her average score last season. What was Talia’s average score last season?

Q # 10: The customers of Rhythm Time, an online music service, downloaded 5401 songs this year. That number is 45% lower than last year. How many songs did they downloaded last year?

Q # 11: Dr. Walker, a farm veterinarian, just weighed a pig and found out that it is 19 kilograms, which is 5% less than the last time he checked. How much did the pig weigh last time?

Q # 12: Elise swims several times a week in a lake near her house. This past summer, the average water temperature was 19 °C, which is 5% cooler than it was last summer. What was last summer’s average water temperature?

Questions on Equations: https://youtu.be/HJ_PP5rqLg0

Q # 1. Jerry’s Auto Wash earns revenues of $17.00 per customer. In all, how many customers does Jerry’s AutoWash need to serve in order to have a total of $1,785.00 in revenue?

Q # 2. Ken can bake 16 biscuits with 2 scoop of flour. How many scoops of flour does Ken need in order to bake 220 biscuits?

Q # 3. Emmy earns $15.00 for each hour of dog walking. How many hours in all will it take Emmy to earn a total of $273.00?

Q # 4. Logan has already written 18 pages of a novel, and he expects to write one page fore very additional two hour spent writing. How many hours will Logan have to spend writing this week in order to have written a total of 67 pages?

Q # 5. A receptionist named Levi spends 3 minutes routing each incoming phone call. In all, how many phone calls does Levi have to route to spend a total of 60 minutes on the phone?

Q # 6. Sandeep has already spent 3 minutes on the phone, and he expects to spend 1 more minute with every phone call he routes. In all, how many phone calls does Sandeep have to route to spend a total of 15 minutes on the phone?

Q # 7. Angie has already taken 28 pages of notes on her own, and she will take one page during each hour of class. In all, how many hours will Angie have to spend in class before she will have a total of 47 pages of notes in her note book?

Q # 8. Maura had already read 14 books this year before joining a book club, and she plans to read two books every month now that she has joined. If Maura has read 25 books so far, how many months has she been with her book club?

Q # 9. A corporate team-building event costs $19.00, plus an additional $5.00 per attendee. How many attendees can there be, if the budget for the corporate team-building event is $220.00?

Q # 10. The cost to rent a moving van is $15.00 plus an additional $13.00 per hour. For a total of $80.00, what is the maximum amount of time that a moving van can be rented for?

Q # 11. Quinn already owns 25 necklaces, and additional necklaces are priced at 3 for ten dollar. How much money does Quinn need to spend on new necklaces in order to own a total of 61 necklaces?

Q # 12. This equation h = d + 13 shows how the total number of hair bands Bella owns is related to the amount of money she spends on additional hair bands.

The variable ‘ d ‘ represents the amount of money she spends on additional hair bands, and the variable ‘ h ‘ represents the total number of hair bands she owns. How much money does Bella need to spend on new hair bands in order to own a total of 30 hair bands?

Questions on HCF and LCM:

Q # 1: Samantha and Kiara each have a band. Samantha’s band plays songs in sets of 11 and Kiara’s band plays songs in sets of 9. After performing together, both bands realise that they have played the same number of songs. What is the smallest number of songs each band could have performed?

Q # 2: Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 11. On the second day, the agency will interview clients in groups of 10. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day?

Q # 3: The drama club meets in the school auditorium every 8 days, and the choir meets there every 3 days. If the groups are both meeting in the auditorium today, then how many days from now will they next have to share the auditorium?

Q # 4: Jon and Britney are shelving books at a public library. Jon shelves 3 books at a time, whereas Britney shelves 4 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved?

Q # 5: At a party, the cheese pizza is cut into 12 slices and the veggie pizza is cut into 15 slices. If the host wants to serve identical platters that contain the same combination of cheese and veggie slices, with no slices left over, what is the greatest number of platters the host can prepare?

Q # 6: Darren has 12 large bottles of soda and 8 large jugs of water. In preparation for the intermission of the school play, Darren wants to set up identical refreshment tables and have no beverages left over. What is the greatest number of refreshment tables that he can set up?

Q # 7: The McDaniel Company would like to donate 12 computers and 16 printers to local schools. The company would like to make sure that each school receives the same set of computers and printers, with none left over. What is the greatest number of schools that The McDaniel Company can donate to?

Q # 8: Jennifer is packing crates that can hold 4 pears, and Kelsey is packing crates that hold 11 pears. If they must pack the same total number of pears, what is the minimum number of pears each must pack?

Q # 9: Belle has 20 cans of regular soda and 14 cans of diet soda. She wants to create some identical refreshment tables that will operate during the American football game. She also doesn’t want to have any sodas left over. What is the greatest number of refreshment tables that Belle can stock?

Q # 10: Manuel and Lindsey went to the funfair. They bought the same number of ride tickets, but Manuel bought them in packs of 12, and Lindsey bought them in packs of 6. What is the smallest possible number of tickets they each bought?

Q # 11: Jeremiah is a dental sales representative who wants to distribute 14 brochures and 7 pamphlets to local dental offices. He wants to deliver the same combination of brochures and pamphlets to each office, without having any materials left over. What is the greatest number of dental offices Jeremiah can distribute materials to?

Q # 12: In preparation for a conference, Troy is setting up some stations where people can create their own name tags. He has 8 name tags and 12 pens, which he wants to distribute evenly among the name tag stations with none left over. What is the greatest number of name tag stations that Troy can set up?

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FOR ANSWERS to the above questions or for the method to solve the above questions, kindly leave a note on the comments section of the website, stating which question you need answered. Thanks.