MathsGee Answers - Recent questions in Mathematics
https://mathsgee.com/questions/mathematics
Powered by Question2AnswerWhat is the intuitive explanation for the Sum and Difference of two squares?
https://mathsgee.com/25176/what-the-intuitive-explanation-for-the-difference-squares
What is the intuitive explanation for the Sum and Difference of two squares?Mathematicshttps://mathsgee.com/25176/what-the-intuitive-explanation-for-the-difference-squaresMon, 22 Feb 2021 08:16:07 +0000How do I derive the formula for the Arithmetic Sequence?
https://mathsgee.com/25175/how-do-i-derive-the-formula-for-the-arithmetic-sequence
How do I derive the formula for the Arithmetic Sequence?Mathematicshttps://mathsgee.com/25175/how-do-i-derive-the-formula-for-the-arithmetic-sequenceMon, 22 Feb 2021 08:14:09 +0000Prove that $ \sqrt[n]{a} \sqrt[n]{b} = \sqrt[n]{ab}$
https://mathsgee.com/25173/prove-that-sqrt-n-a-sqrt-n-b-sqrt-n-ab
Prove that $ \sqrt[n]{a} \sqrt[n]{b} = \sqrt[n]{ab}$Mathematicshttps://mathsgee.com/25173/prove-that-sqrt-n-a-sqrt-n-b-sqrt-n-abMon, 22 Feb 2021 08:11:49 +0000Prove that $ \sqrt{4} \times \sqrt{16} = 8$
https://mathsgee.com/25172/prove-that-sqrt-4-times-sqrt-16-8
<p><span style="color:#373737; font-family:"Helvetica Neue",Helvetica,Arial,sans-serif; font-size:15px">Prove that $ \sqrt{4} \times \sqrt{16} = 8$ </span></p>Mathematicshttps://mathsgee.com/25172/prove-that-sqrt-4-times-sqrt-16-8Mon, 22 Feb 2021 08:11:03 +0000Make $x$ the subject of the formula in $5 = \pi(\frac{\sqrt{x}}{x-1})$
https://mathsgee.com/25171/make-x-the-subject-of-the-formula-in-5-pi-frac-sqrt-x-x-1
Make $x$ the subject of the formula in <br />
<br />
$$5 = \pi(\frac{\sqrt{x}}{x-1})$$Mathematicshttps://mathsgee.com/25171/make-x-the-subject-of-the-formula-in-5-pi-frac-sqrt-x-x-1Mon, 22 Feb 2021 08:08:01 +0000Simplify the expression $(x+y)[z+w]$
https://mathsgee.com/25170/simplify-the-expression-x-y-z-w
Simplify the expression $(x+y)[z+w]$Mathematicshttps://mathsgee.com/25170/simplify-the-expression-x-y-z-wMon, 22 Feb 2021 08:06:45 +0000Make $x$ the subject of the formula for $\sqrt[4]{x-y} = 7$
https://mathsgee.com/25169/make-x-the-subject-of-the-formula-for-sqrt-4-x-y-7
Make $x$ the subject of the formula for $\sqrt[4]{x-y} = 7$Mathematicshttps://mathsgee.com/25169/make-x-the-subject-of-the-formula-for-sqrt-4-x-y-7Mon, 22 Feb 2021 08:05:19 +0000Make $x$ the subject of the formula for $\frac{x+y}{2} =8$
https://mathsgee.com/25168/make-x-the-subject-of-the-formula-for-frac-x-y-2-8
Make $x$ the subject of the formula for $\frac{x+y}{2} =8$Mathematicshttps://mathsgee.com/25168/make-x-the-subject-of-the-formula-for-frac-x-y-2-8Mon, 22 Feb 2021 08:02:57 +0000Show that $ a^{\frac{m}{n}} = \sqrt [n] {a^m} $
https://mathsgee.com/25167/show-that-a-frac-m-n-sqrt-n-a-m
Show that $ a^{\frac{m}{n}} = \sqrt [n] {a^m} $Mathematicshttps://mathsgee.com/25167/show-that-a-frac-m-n-sqrt-n-a-mMon, 22 Feb 2021 08:00:00 +0000What are some examples of quadratic sequences?
https://mathsgee.com/25165/what-are-some-examples-of-quadratic-sequences
What are some examples of quadratic sequences?Mathematicshttps://mathsgee.com/25165/what-are-some-examples-of-quadratic-sequencesMon, 22 Feb 2021 07:50:26 +0000What is a quadratic sequence?
https://mathsgee.com/25163/what-is-a-quadratic-sequence
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<div>What is a quadratic sequence?</div>Mathematicshttps://mathsgee.com/25163/what-is-a-quadratic-sequenceMon, 22 Feb 2021 07:49:24 +0000Find the sum of first 24 terms of the list of numbers whose $n^{th}$ term is given by $a_n = 3 +2n$
https://mathsgee.com/25159/find-the-sum-first-terms-the-list-numbers-whose-term-given-an
Find the sum of first 24 terms of the list of numbers whose $n^{th}$ term is given by $a_n = 3 +2n$Mathematicshttps://mathsgee.com/25159/find-the-sum-first-terms-the-list-numbers-whose-term-given-anSat, 20 Feb 2021 16:00:47 +0000Given the quadratic sequence: $321 ; 290 ; 261 ; 234 ; .... $. Write down the values of the next TWO terms of the sequence.
https://mathsgee.com/25158/given-quadratic-sequence-321-write-values-terms-sequence
Given the quadratic sequence: $321 ; 290 ; 261 ; 234 ; .... $. Write down the values of the next TWO terms of the sequence.Mathematicshttps://mathsgee.com/25158/given-quadratic-sequence-321-write-values-terms-sequenceSat, 20 Feb 2021 15:57:13 +0000What is the value of 3784÷17?
https://mathsgee.com/25156/what-is-the-value-of-3784-17
What is the value of 3784÷17?Mathematicshttps://mathsgee.com/25156/what-is-the-value-of-3784-17Sat, 20 Feb 2021 15:40:52 +0000The winner of stage 15 in the Tour De France cycle race completed the 187 km in 4 hours and 52 minutes. What was his average speed for stage 15?
https://mathsgee.com/25155/winner-stage-france-cycle-completed-minutes-average-stage
The winner of stage 15 in the Tour De France cycle race completed the 187 km in 4 hours and 52 minutes. What was his average speed for stage 15? Round off your answer to 2 decimal places.Mathematicshttps://mathsgee.com/25155/winner-stage-france-cycle-completed-minutes-average-stageSat, 20 Feb 2021 12:20:45 +0000Builders mix concrete using sand, stones (gravel) and cement in the ratio 3 : 2 : 1. If the builder needs to mix 360kg of cement, how much of each constituent does he need?
https://mathsgee.com/25154/builders-concrete-stones-gravel-cement-builder-constituent
Builders mix concrete using sand, stones (gravel) and cement in the ratio 3 : 2 : 1. If the builder needs to mix 360kg of cement, how much of each constituent does he need?Mathematicshttps://mathsgee.com/25154/builders-concrete-stones-gravel-cement-builder-constituentSat, 20 Feb 2021 12:20:17 +0000If each learner uses a minimum of seven pages for each of his or her seven objects, how many pages will be used in total during the final Grade 12 exams?
https://mathsgee.com/25153/learner-minimum-objects-pages-total-during-final-grade-exams
In total, 45 000 Grade 12 learners are writing the final Grade 12 examination. If each learner uses a minimum of seven pages for each of his or her seven objects, how many pages will be used in total during the final Grade 12 exams? Give your answer in scientific notation correct to two decimal places.Mathematicshttps://mathsgee.com/25153/learner-minimum-objects-pages-total-during-final-grade-examsSat, 20 Feb 2021 12:19:33 +0000The length of the sides of a triangle are in the ratio 4 : 7 : 9. The perimeter of the triangle is 596 cm. what is the length of each side of the triangle?
https://mathsgee.com/25152/length-sides-triangle-perimeter-triangle-length-triangle
The length of the sides of a triangle are in the ratio 4 : 7 : 9. The perimeter of the triangle is 596 cm. what is the length of each side of the triangle?Mathematicshttps://mathsgee.com/25152/length-sides-triangle-perimeter-triangle-length-triangleSat, 20 Feb 2021 12:18:39 +0000A jewellery store runs a promotion of 20% discount on all their watches.
https://mathsgee.com/25151/jewellery-store-runs-promotion-20-discount-their-watches
A jewellery store runs a promotion of 20% discount on all their watches. <br />
<br />
a) How much discount will you get on a watch with a price tag of R899,95? <br />
<br />
b) What is the sale price of the watch?Mathematicshttps://mathsgee.com/25151/jewellery-store-runs-promotion-20-discount-their-watchesSat, 20 Feb 2021 12:17:57 +0000what percentage of her recommended daily energy allowance has she consumed?
https://mathsgee.com/25150/what-percentage-recommended-daily-energy-allowance-consumed
The recommended daily nutrient intake for an 18-year-old girl with a height of 161 cm and a mass of 54 kg is 2 100 calories. If an 18- year- old girl eats the whole packet of potato chips (125 g), what percentage of her recommended daily energy allowance has she consumed?Mathematicshttps://mathsgee.com/25150/what-percentage-recommended-daily-energy-allowance-consumedSat, 20 Feb 2021 12:16:51 +0000A plane trip (with stopovers) from South Africa to China takes 38 hours. How many days and hours does the trip take?
https://mathsgee.com/25149/plane-stopovers-south-africa-china-takes-hours-many-days-hours
A plane trip (with stopovers) from South Africa to China takes 38 hours. How many days and hours does the trip take?Mathematicshttps://mathsgee.com/25149/plane-stopovers-south-africa-china-takes-hours-many-days-hoursSat, 20 Feb 2021 12:15:31 +0000A train journey takes 34 hours. How many days and hours does the journey take?
https://mathsgee.com/25148/train-journey-takes-hours-many-days-hours-does-journey-take
A train journey takes 34 hours. How many days and hours does the journey take?Mathematicshttps://mathsgee.com/25148/train-journey-takes-hours-many-days-hours-does-journey-takeSat, 20 Feb 2021 12:15:08 +0000A movie lasts 138 minutes. How long is the movie in hours and minutes?
https://mathsgee.com/25147/movie-lasts-138-minutes-how-long-the-movie-hours-and-minutes
A movie lasts 138 minutes. How long is the movie in hours and minutes?Mathematicshttps://mathsgee.com/25147/movie-lasts-138-minutes-how-long-the-movie-hours-and-minutesSat, 20 Feb 2021 12:14:31 +0000It takes John 140 seconds to boil water in a kettle. How many minutes and seconds does the water take to boil?
https://mathsgee.com/25146/takes-john-seconds-water-kettle-minutes-seconds-water-boil
It takes John 140 seconds to boil water in a kettle. How many minutes and seconds does the water take to boil?Mathematicshttps://mathsgee.com/25146/takes-john-seconds-water-kettle-minutes-seconds-water-boilSat, 20 Feb 2021 12:14:07 +0000A pair of jeans is on sale with a mark down of 20%. If the original price of the jeans was R199,00, what is the sale price?
https://mathsgee.com/25145/jeans-sale-with-mark-original-price-jeans-r199-what-sale-price
A pair of jeans is on sale with a mark down of 20%. If the original price of the jeans was R199,00, what is the sale price?Mathematicshttps://mathsgee.com/25145/jeans-sale-with-mark-original-price-jeans-r199-what-sale-priceSat, 20 Feb 2021 12:11:16 +0000Nomalizo receives a salary increase of 7%. If her new salary is R10 600, what was her salary before the increase?
https://mathsgee.com/25144/nomalizo-receives-salary-increase-salary-before-increase
Nomalizo receives a salary increase of 7%. If her new salary is R10 600, what was her salary before the increase?Mathematicshttps://mathsgee.com/25144/nomalizo-receives-salary-increase-salary-before-increaseSat, 20 Feb 2021 12:10:48 +0000The price of petrol increases by 12%. The original price was R10,70 per litre. What is the new petrol price
https://mathsgee.com/25143/price-petrol-increases-original-price-litre-what-petrol-price
The price of petrol increases by 12%. The original price was R10,70 per litre. What is the new petrol priceMathematicshttps://mathsgee.com/25143/price-petrol-increases-original-price-litre-what-petrol-priceSat, 20 Feb 2021 12:10:26 +0000You get 40% for a test, or a mark of 28. What is the total number of marks for the test?
https://mathsgee.com/25142/you-get-for-test-mark-what-the-total-number-marks-for-the-test
You get 40% for a test, or a mark of 28. What is the total number of marks for the test?Mathematicshttps://mathsgee.com/25142/you-get-for-test-mark-what-the-total-number-marks-for-the-testSat, 20 Feb 2021 12:09:59 +0000A group of 30 out 150 learners represents the Grade 12s in athletics, what percentage is this?
https://mathsgee.com/25141/group-learners-represents-grade-athletics-percentage-this
A group of 30 out 150 learners represents the Grade 12s in athletics, what percentage is this?Mathematicshttps://mathsgee.com/25141/group-learners-represents-grade-athletics-percentage-thisSat, 20 Feb 2021 12:09:32 +0000What is 18% of 300?
https://mathsgee.com/25140/what-is-18-of-300
What is 18% of 300?Mathematicshttps://mathsgee.com/25140/what-is-18-of-300Sat, 20 Feb 2021 12:09:05 +0000What are the different types of percentage problems?
https://mathsgee.com/25138/what-are-the-different-types-of-percentage-problems
What are the different types of percentage problems?Mathematicshttps://mathsgee.com/25138/what-are-the-different-types-of-percentage-problemsSat, 20 Feb 2021 12:07:31 +0000If Brian cycled at an average of 15km/h for 3 hours and 15 minutes, what distance would he cycle?
https://mathsgee.com/25137/brian-cycled-average-15km-hours-minutes-distance-would-cycle
Brian cycles 30 km in 2 hours and 15 minutes. <br />
<br />
a) Calculate the average speed at which he cycled. <br />
<br />
b) If Brian maintained this speed, how long would it take him to cover a distance of 45 km? <br />
<br />
c) If Brian cycled at an average of 15km/h for 3 hours and 15 minutes, what distance would he cycle?Mathematicshttps://mathsgee.com/25137/brian-cycled-average-15km-hours-minutes-distance-would-cycleSat, 20 Feb 2021 12:06:39 +0000How many litres of petrol will you be able to buy for R700,00 (rounded off to the nearest litre)?
https://mathsgee.com/25136/many-litres-petrol-will-able-r700-rounded-the-nearest-litre
Petrol costs R13,20 per litre. <br />
<br />
a) How much will you pay for 25 of petrol? <br />
<br />
b) How many litres of petrol will you be able to buy for R700,00 (rounded off to the nearest litre)?Mathematicshttps://mathsgee.com/25136/many-litres-petrol-will-able-r700-rounded-the-nearest-litreSat, 20 Feb 2021 12:05:36 +0000A photo shop can only make a 3 to 7 enlargement of a photograph of 15 cm. Give the measurement of an enlarged photograph.
https://mathsgee.com/25135/enlargement-photograph-measurement-enlarged-photograph
A photo shop can only make a 3 to 7 enlargement of a photograph of 15 cm. Give the measurement of an enlarged photograph.Mathematicshttps://mathsgee.com/25135/enlargement-photograph-measurement-enlarged-photographSat, 20 Feb 2021 12:04:20 +0000How much money did each person get?
https://mathsgee.com/25134/how-much-money-did-each-person-get
Tefo and Tozi sold flowers at a road side stall. Tefo worked for 6 hours and Tozzi worked for 4 hours. They decided to split their profit of R1 595, 60 in the same ratio as the number of hours they worked. How much money did each person get?Mathematicshttps://mathsgee.com/25134/how-much-money-did-each-person-getSat, 20 Feb 2021 12:03:58 +0000In a grade 10 class, learners are voting for a class badge. 4 learners vote for badge A and 17 vote for badge B. How many learners vote for badge B for each learner voting for badge A?
https://mathsgee.com/25133/learners-voting-class-learners-badge-learners-learner-voting
In a grade 10 class, learners are voting for a class badge. 4 learners vote for badge A and 17 vote for badge B. How many learners vote for badge B for each learner voting for badge A?Mathematicshttps://mathsgee.com/25133/learners-voting-class-learners-badge-learners-learner-votingSat, 20 Feb 2021 12:03:21 +0000There are 80 learners who travel by bus and 120 learners who travel by taxi, then we have a ratio of 80 (bus) to 120 (taxi). What is this in its simplest form?
https://mathsgee.com/25132/there-learners-travel-learners-travel-taxi-ratio-simplest
There are 80 learners who travel by bus and 120 learners who travel by taxi, then we have a ratio of 80 (bus) to 120 (taxi). What is this in its simplest form?Mathematicshttps://mathsgee.com/25132/there-learners-travel-learners-travel-taxi-ratio-simplestSat, 20 Feb 2021 12:01:48 +0000Write each value in scientific notation.
https://mathsgee.com/25131/write-each-value-in-scientific-notation
Write each value in scientific notation. <br />
<br />
a) The mass of dust particle is 0,000000000753 kg <br />
<br />
b) The andomeda Galaxy contains at least 200 000 000 000 stars.Mathematicshttps://mathsgee.com/25131/write-each-value-in-scientific-notationSat, 20 Feb 2021 12:01:06 +0000Why do scientists and mathematicians use scientific notation?
https://mathsgee.com/25130/why-scientists-and-mathematicians-use-scientific-notation
Why do scientists and mathematicians use scientific notation?Mathematicshttps://mathsgee.com/25130/why-scientists-and-mathematicians-use-scientific-notationSat, 20 Feb 2021 12:00:11 +0000Ludwe is buying blinds for a large window in his home. Each blind is 100 cm wide. The window is 260 cm wide. How many blinds does he need?
https://mathsgee.com/25129/ludwe-buying-blinds-large-window-blind-window-many-blinds-does
Ludwe is buying blinds for a large window in his home. Each blind is 100 cm wide. The window is 260 cm wide. How many blinds does he need?Mathematicshttps://mathsgee.com/25129/ludwe-buying-blinds-large-window-blind-window-many-blinds-doesSat, 20 Feb 2021 11:59:34 +0000A group of learners is going to the Maropeng Centre at the Cradle of Humankind. There are 232 learners and teachers going on the outing
https://mathsgee.com/25128/learners-maropeng-centre-humankind-learners-teachers-outing
<p>A group of learners is going to the Maropeng Centre at the Cradle of Humankind. There are 232 learners and teachers going on the outing. </p>
<p>The school needs to hire buses and each bus can carry 50 passengers. </p>
<ol>
<li>How many buses should they hire? </li>
<li>How many empty seats will there be?</li></ol>Mathematicshttps://mathsgee.com/25128/learners-maropeng-centre-humankind-learners-teachers-outingSat, 20 Feb 2021 11:58:53 +0000A remote rural settlement receives a drum that contains $600l$ of water for 36 people in the settlement to share. If the water is shared equally, how many litres of water will each person receive?
https://mathsgee.com/25127/settlement-receives-contains-settlement-equally-receive
A remote rural settlement receives a drum that contains $600l$ of water for 36 people in the settlement to share. If the water is shared equally, how many litres of water will each person receive?Mathematicshttps://mathsgee.com/25127/settlement-receives-contains-settlement-equally-receiveSat, 20 Feb 2021 11:52:17 +0000James enters a lift. He gets out on the eleventh floor, but realises that it is the wrong floor. He then goes four floors down and three floors up. At which floor is he?
https://mathsgee.com/25126/james-enters-eleventh-realises-floors-three-floors-which-floor
James enters a lift. He gets out on the eleventh floor, but realises that it is the wrong floor. He then goes four floors down and three floors up. At which floor is he?Mathematicshttps://mathsgee.com/25126/james-enters-eleventh-realises-floors-three-floors-which-floorSat, 20 Feb 2021 11:50:59 +0000In Japan a daytime temperature of $10^{\circ}C$ can drop by $6$ degrees during the night. What will the temperature be then?
https://mathsgee.com/25125/japan-daytime-temperature-degrees-during-night-temperature
In Japan a daytime temperature of $10^{\circ}C$ can drop by $6$ degrees during the night. What will the temperature be then?Mathematicshttps://mathsgee.com/25125/japan-daytime-temperature-degrees-during-night-temperatureSat, 20 Feb 2021 11:50:15 +0000What is the perimeter of the building if the breadth is 20m and the length is 2362,2 inches.
https://mathsgee.com/25124/what-perimeter-the-building-the-breadth-length-2362-inches
What is the perimeter of the building if the breadth is 20m and the length is 2362,2 inches.Mathematicshttps://mathsgee.com/25124/what-perimeter-the-building-the-breadth-length-2362-inchesSat, 20 Feb 2021 11:44:58 +0000Mike invests R5,000.00 at 8% interest compounded annually for a period of 5 years.
https://mathsgee.com/25122/mike-invests-000-interest-compounded-annually-period-years
Mike invests R5,000.00 at 8% interest compounded annually for a period of 5 years. What was the interest in this period?Mathematicshttps://mathsgee.com/25122/mike-invests-000-interest-compounded-annually-period-yearsSat, 20 Feb 2021 11:17:12 +0000Mike invests $R5,000.00$ at $10\%$ interest compounded annually. What is the interest calculation for the first year of the investment?
https://mathsgee.com/25120/interest-compounded-annually-interest-calculation-investment
Mike invests $R5,000.00$ at $10\%$ interest compounded annually. What is the interest calculation for the first year of the investment?Mathematicshttps://mathsgee.com/25120/interest-compounded-annually-interest-calculation-investmentSat, 20 Feb 2021 11:13:18 +0000If Peter invests R1 000,00 at 8% simple interest per annum paid quarterly. What is the interest earned in a year?
https://mathsgee.com/25118/peter-invests-simple-interest-annum-quarterly-interest-earned
If Peter invests R1 000,00 at 8% simple interest per annum paid quarterly. What is the interest earned in a year?Mathematicshttps://mathsgee.com/25118/peter-invests-simple-interest-annum-quarterly-interest-earnedSat, 20 Feb 2021 11:06:41 +0000If Peter invests R1,000.00 at 8% simple interest per annum (per year). What is the interest for the first year of this investment?
https://mathsgee.com/25116/peter-invests-simple-interest-annum-interest-first-investment
If Peter invests $R1,000.00$ at $8\%$ simple interest per annum (per year). What is the interest for the first year of this investment?Mathematicshttps://mathsgee.com/25116/peter-invests-simple-interest-annum-interest-first-investmentSat, 20 Feb 2021 10:59:41 +0000What is the VAT value that Jenny’s father will pay?
https://mathsgee.com/25114/what-is-the-vat-value-that-jennys-father-will-pay
<p>Jenny makes plans to buy a washing machine. Her father has offered to pay the VAT, if she pays the rest of the amount. She finds a washing machine with a sales price of R2500,00 including VAT. </p>
<ol>
<li>What is the VAT value that Jenny’s father will pay? </li>
<li>What was the price before VAT was added? </li></ol>Mathematicshttps://mathsgee.com/25114/what-is-the-vat-value-that-jennys-father-will-paySat, 20 Feb 2021 10:47:35 +0000