MTAP REVIEWER 2017
1. How many hundred thousands make a million? 2. How many millions are there in 5 864 753? 3. What is the value of 4 tens plus 2 hundreds minus 3 one? 5
4. Write in standard form: 8 x
10
6
+ 5 x 10 + 4 x
10
3
+ 2 x 104 + 1 x 10 + 3
5. Round the sum of 9.45 and 6.1 to the nearest whole number 6. Write the greatest seven-digit even number using four different digits only. 7. Each plant of Mang Pepe needs
4
kilogram of fertilizers. He has 35 plants.
5
How many kilos of fertilizers should Mang Pepe buy if he would nor be able to buy portion of a kilo? 8. If 52.3 x 70.5 = 3 687.15, what is 523 x 7.05? 9. Which is the second largest number in the set {0.3, 0.9, 0.18, 0.27, 0.08}? 10.Of 10. Of the numbers 0.5129, 0.9, 0.89 and 0.289, what is the sum of the smallest and the largest? 11.What 11. What is the quotient when 0.1 is divided by 0.02? 12.The 12. The average of a set of numbers is 6. The sum is 18. How many numbers are there in the set? 13.The 13. The average score on a set for 6 students was calculated to be 84. One student had been mistakenly counted as 86 instead of the correct score of 68. What is the correct average score for all the 6 students? 14.What 14. What is the difference between the LCM and the GCF of the numbers 5, 10 and 35? 15.A 15. A light flashes every 6 minutes and a bell rings every 8 minutes. If the light flashes as the bell is ringing, what is the smallest number of minutes which must elapse before this occurs again? 16.What 16. What is the sum of all the factors of 24? 17.Alex 17. Alex has 60 toy cars. Ten percent of them are red, 25% of them are blue, 15% of them are black and 40% of the remainder are yellow. How many yellow toy cars does he have?
18.The normal selling price of a furniture set was P15 000. During a clearance sale, it was sold at a 20% discount. What was the selling price of the furniture after the discount? 19.How many of the numbers 11, 21, 31, 41, 51, 61, 71, 81 and 91 are prime? 2
20.Max got a share of hectare of land from his parents while his brother Victor, 3
3
got hectare. Who got a bigger share and by what part of a hectare? 4
21.A shopkeeper received a container of fresh eggs. He sold
3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day he found
that of the eggs were not sold. How many eggs did he receive? 4
22.The ratio of boys to girls in a certain school is 7:5. If there are 420 boys, how many girls are there? 23.What is the largest decimal number less than 1 having four different digits and a 3 in the hundredths place? 24.If a monkey eats 1 banana every 4 hours, how many bananas does the monkey eat in 5 days? 25.In a school, the ratio of Grade 5 pupils to Grade 6 is 5:6. The ratio of Grade 6 pupils to Grade 7 pupils is 6:7. There are 55 pupils in Grade 5. How many pupils are there in Grade 7? 26.A circular path around a pool has a radius of 5.5 m. How many meters would it take to walk around it once? Express your answer in terms of π 27.A parallelogram has a n area of 162 cm ². If the base is twice as long as its height, how long is the base? 28.A rectangle and a square have the same area. The dimensions of the rectangle are 3 cm and 12 cm. What is the length of the side of the square? 29.What is the product of the number of faces of a cube and the number of its vertices? 30.A block of wood 1.8 dm long, 1.2 dm wide and 10 cm thick is to be cut into small cubes of side 3 cm. How many small cubes can be cut? 31. If 2 + 4 + 6 … + 100 = 2 550, then 1 + 3 + 5 + … + 99 = ? 32. If 3 out of 5 dentist recommend white toothpaste, what percent do not recommend white toothpaste? 33.Twenty-seven men can do a certain job in 15 days. In how many days can 18 men do it?
34.A roll of wallpaper covers half the area of a square wall whose width is 4 m. What is the area of the part covered by this wallpaper? 35.The area of a circle is 100 π square cm. How many cm is its circumference? 36.By how much greater is the sum of fifty whole numbers 51, 52 …, 100 than the sum of the fifty whole numbers 1, 2, …, 50?
37. A rectangular box is 2 cm high, 4 cm wide and 6 cm deep. Mica packs the box with cubes, each 2 cm by 2 cm by 2cm, with no space left over. How many cubes does she fit in the box? 38.The number 6 has exactly four different factors 1, 2, 3, and 6. How many factors does the number 36 have? 39.Write 1 800 as a product of its prime factors using exponents 40.If A # B = (A x B) ÷ (A + B), calculate 9 # ( 10 # 10). 41.The three-digit number 2A4 is added to 329 and gives 5B3. If 5B3 is divisible by 3. What is the largest value of A? 42.What number is obtained when the difference between 14.2 and 1.69 is divided by 0.03? 43.What is the radius of a circle having a circumference of 6 π cm? 44.The arc lengths of three semicircles are as shown. What is the area of the shaded region?
12π
6π
6π
45.The numbers in the sequence 2, 7, 12, 17, 22, …. increase by fives. The numbers in the sequence 3, 10, 17, 24, 31, … increase by sevens. The number 17 occurs in both sequences. What is the next number which occurs in both sequences? 2
46.If x = 0.6, what is the value of x ? 3
47.Three cuts are made through a large cube to make eight identical smaller cubes. The total surface area of the smaller cubes is a) one-eight of the surface area of the larger cube b) one-half of the surface are of the larger cube c) double the surface area of the larger cube d) eight times the surface area of the larger cube e) the same as the surface area of the larger cube
48. When 15 increase half a number, the result is 39. What is the original number? 49.What is the greatest length of the rod, which can be cut from 42 cm, 49 cm and 84 cm, respectively, without any waste? 50.Nick multiplies a number by 4, adds 8 to the product, then divide the sum by 3. If the final result is 28, what is the original number?
