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In the number 4 738 the digits stand for thousands, hundreds, tens and units, so the 7 sits in the hundreds place. A digit in the hundreds place has value equal to that digit multiplied by 100, giving 700.
Add the units: 6 + 7 = 13, write 3 and carry 1. Add the tens: 5 + 8 + 1 = 14, write 4 and carry 1. Add the hundreds: 3 + 4 + 1 = 8, so the total is 843.
Subtracting in columns needs regrouping: 700 is 6 hundreds, 9 tens and 10 units. Then 10 - 8 = 2 units, 9 - 6 = 3 tens and 6 - 2 = 4 hundreds, giving 432.
A multiple of both numbers must be divisible by 4 and by 6. The number 24 divides exactly by 4 (24 ÷ 4 = 6) and by 6 (24 ÷ 6 = 4), so it is a common multiple.
To change a fraction to a percentage, multiply it by 100. Here 3/5 × 100 = 300 ÷ 5 = 60, so the fraction equals 60%.
The hundreds digit is 7 and the next digit is 4. Since 4 is less than 5, the hundreds digit stays the same and all following digits become zero, giving 6 700.
List multiples of 8 (8, 16, 24, 32 ...) and of 12 (12, 24, 36 ...). The smallest number appearing in both lists is 24, so the lowest common multiple is 24.
Multiply the price of one pen by the number of pens: 4.50 × 6. Since 45 × 6 = 270, the answer is 270 thebe, which is P27.00.
Use the common denominator 12: 2/3 = 8/12 and 1/4 = 3/12. Adding the numerators gives 8 + 3 = 11, so the sum is 11/12.
One litre equals 1 000 millilitres, so multiply the number of litres by 1 000. 2.5 × 1 000 = 2 500, giving 2 500 ml.
Twenty-five per cent is the same as one quarter, because 25/100 simplifies to 1/4. One quarter of 480 is 480 ÷ 4 = 120, so 25% of P480 is P120.
Work backwards through the operations. Add 13 to 50 to get 63, then divide 63 by 7 to get 9. Checking: 9 × 7 = 63 and 63 - 13 = 50.
0.45 means 45 hundredths, so it is 45/100. Dividing numerator and denominator by their highest common factor, 5, gives 9/20, which cannot be simplified further.
A number is divisible by 9 when the sum of its digits is a multiple of 9. For 4 527 the digit sum is 4 + 5 + 2 + 7 = 18, and 18 is a multiple of 9, so 4 527 is divisible by 9.
First find 15% of 240: 10% is 24 and 5% is 12, so 15% is 36. Adding this increase to the original amount gives 240 + 36 = 276.
Multiply both numbers by 10 to remove the decimal from the divisor: 3.6 ÷ 0.4 becomes 36 ÷ 4. Since 36 ÷ 4 = 9, the quotient is 9.
Each part of the ratio corresponds to 350 ÷ 5 = 70 g. Sugar is 2 parts, so the mass needed is 2 × 70 = 140 g.
Multiply numerators together and denominators together: (3 × 2)/(4 × 9) = 6/36. Dividing both parts by 6 gives 1/6, which is already in its simplest form.
A square means multiplying a number by itself, so 5² = 25. A cube means multiplying a number by itself three times, so 2³ = 8. Adding gives 25 + 8 = 33.
Numbers from 465 up to but not including 475 round to 470. Since 475 itself rounds up to 480, the largest whole number that rounds to 470 is 474.
For any two numbers, the product of the numbers equals the product of their HCF and LCM. So the other number is (6 × 72) ÷ 18 = 432 ÷ 18 = 24. Checking, the HCF of 18 and 24 is 6 and the LCM is 72.
The cost is 40 × 6.50 = P260 and the selling price is 40 × 8.00 = P320, so the profit is P60. Profit as a percentage of cost is 60/260 × 100, which is about 23.08%.
Expand each bracket: 3(2x + 4) = 6x + 12 and -2(x - 5) = -2x + 10, because multiplying two negatives gives a positive. Collecting like terms gives 6x - 2x = 4x and 12 + 10 = 22, so the answer is 4x + 22.
The fractions given away are 3/8 + 1/3 = 9/24 + 8/24 = 17/24, so Chen's share is 1 - 17/24 = 7/24 of the total. Since 7/24 of the total is P350, the total is 350 × 24 ÷ 7 = P1 200.
Convert the time to hours: 2 hours 30 minutes is 2.5 hours. Average speed equals distance divided by time, so 150 ÷ 2.5 = 60, giving 60 km/h.
A prime number has exactly two factors, 1 and itself. The number 29 cannot be divided evenly by any whole number except 1 and 29, so it is prime.
Adding the ones gives 6 + 7 = 13, so write 3 and carry 1. Adding the tens gives 5 + 8 + 1 = 14, so write 4 and carry 1. Adding the hundreds gives 3 + 2 + 1 = 6, giving 643.
Subtract the thousands, hundreds, tens and ones place by place: 3 512 minus 1 000 is 2 512, and then subtracting the extra 4 gives 2 508. Checking by addition, 2 508 + 1 004 = 3 512.
Compare the tenths digit first: 0.06 has 0 tenths, while 0.6 and 0.66 both have 6 tenths. Between those two, compare hundredths: 0.6 is 0.60, which is less than 0.66. So the order is 0.06, 0.6, 0.66.
To change a fraction to a percentage, multiply by 100. So 1/2 × 100 = 50, meaning one half is 50%.
Multiply the number of sweets in one packet by the number of packets: 12 × 8 = 96. Repeated addition of 12 eight times also gives 96.
One kilogram equals 1 000 grams, so multiply the number of kilograms by 1 000. The decimal point moves three places to the right: 3.75 kg becomes 3 750 g.
First find one fifth of 45 by dividing by 5, which gives 9. Then multiply by 3 to find three fifths: 9 × 3 = 27 pula.
An increase of 20% means the result is 120% of the original number. So the original number is 96 ÷ 1.2 = 80. Checking, 80 × 1.2 = 96.
Line up the tenths digit: 0.5 has 5 tenths, while the others have 3, 3 and 0 tenths. Since 5 tenths is greater than 3 tenths, 0.5 is the largest value.
Write both fractions with the same denominator of 8: 1/4 becomes 2/8. Then subtract the numerators: 7/8 - 2/8 = 5/8, which is already in its simplest form.
Three quarters of 48 adults is 48 ÷ 4 × 3 = 36 adults. The remaining passengers are children, so 48 - 36 = 12 children.
0.375 means 375 thousandths, so it equals 375/1000. Dividing top and bottom by 125 gives 3/8, and 3 and 8 share no common factor.
Multiplication is done before addition and subtraction. First 4 × 3 = 12, then 6 + 12 = 18, and finally 18 - 2 = 16.
The discount is 15% of P180, which is 0.15 × 180 = P27. Subtract the discount from the marked price: 180 - 27 = P153.
The halfway value is the average of the two numbers. Add them: 2.4 + 3.6 = 6.0, then divide by 2 to get 3.0.
If two thirds of the capacity is 180 litres, then one third is 180 ÷ 2 = 90 litres. The full capacity is three thirds, so 90 × 3 = 270 litres.
The ratio has 5 + 4 = 9 equal parts. Each part is 36 ÷ 9 = 4 pupils, so the boys, who have 5 parts, number 5 × 4 = 20.
Work backwards from 42 by undoing each step. Subtract 6 first to get 36, then divide by 4 to get 9. Checking, 9 × 4 + 6 = 42.
The pair of whole numbers with product 84 and sum 19 is 12 and 7, since 12 × 7 = 84 and 12 + 7 = 19. Their difference is 12 - 7 = 5.
The cost price is found by dividing 25 by 3 and multiplying by P2, giving about P16.67. The selling price is 25 × P1 = P25, so the profit is 25 - 16.67 = P8.33.
A number is divisible by 9 when its digit sum is a multiple of 9. The digits of 3 458 add to 20, and the next multiple of 9 is 27, so 7 must be added.
The ratio has 2 + 3 + 5 = 10 parts, so each part is 1 200 ÷ 10 = P120. The largest share is 5 × 120 = P600 and the smallest is 2 × 120 = P240, giving a difference of P360.
In a whole number each place value is ten times the place on its right. Reading 4 372 from the right, the digits sit in the ones, tens, hundreds and thousands places. The 7 is in the tens place, so its value is 7 × 10 = 70.
The first kilometre costs a fixed P8, and the remaining 8 kilometres are charged at P6 each, giving 8 × 6 = P48. Adding the two parts gives 8 + 48 = P56 for the whole journey.