Free Printable Math 8y-9y

1.

Simplify: 5/6 + 3/4.

a)

$\frac{8}{10}$

b)

$\frac{3}{2}$

c)

$1\frac{7}{12}$

d)

$\frac{17}{12}$

2.

Find the LCM of 12 and 18.

a)

24

b)

36

c)

72

d)

6

3.

Solve for x: 3x + 7 = 22.

a)

4

b)

5

c)

6

d)

7

4.

Prime factorization of 60?

a)

2×3×5

b)

2×2×3×5

c)

2×3×3×5

d)

2×3×2×3

5.

Area of a triangle with base 10 cm and height 6 cm.

a)

30 cm²

b)

60 cm²

c)

15 cm²

d)

16 cm²

6.

How many degrees are in three right angles?

a)

180°

b)

270°

c)

360°

d)

90°

7.

A cube has a volume of 64 cm³. What is its side length?

a)

3 cm

b)

4 cm

c)

5 cm

d)

8 cm

8.

Circumference of a circle with diameter 14 cm (use π=22/7).

a)

22 cm

b)

44 cm

c)

66 cm

d)

88 cm

9.

Third angle in a triangle with angles 45° and 75°.

a)

60°

b)

45°

c)

75°

d)

90°

10.

Perimeter of a regular hexagon with side length 5 cm.

a)

25 cm

b)

30 cm

c)

35 cm

d)

40 cm

11.

How many 250 mL bottles can fill a 15 L tank?

a)

50

b)

60

c)

75

d)

100

12.

Divide 144 in the ratio 3:5.

a)

54 & 90

b)

48 & 96

c)

36 & 108

d)

60 & 84

13.

Which is larger: 0.625 or 5/8?

a)

0.625

b)

5/8

c)

Equal

d)

Neither

14.

10 pencils cost: (4 pencils = $1.20)

a)

$3.00

b)

$3.50

c)

$2.40

d)

$4.00

15.

Simplify 1 $\frac{1}{2}$ × 2 $\frac{2}{3}$ .

a)

4

b)

3

c)

2 2/3

d)

5

16.

Next in sequence: 2, 5, 11, 23, __.

a)

47

b)

46

c)

45

d)

44

17.

100 days after Monday is:

a)

Wednesday

b)

Thursday

c)

Tuesday

d)

Friday

18.

How many two-digit numbers are divisible by 7?

a)

13

b)

14

c)

15

d)

12

19.

A number doubled + 5 = 21. The number is:

a)

8

b)

7

c)

9

d)

10

20.

If □+□=16 , then □×□= ?

a)

16

b)

32

c)

64

d)

8

21.

John has twice as many marbles as Sarah. Total = 36. John has:

a)

24

b)

12

c)

18

d)

6

22.

Probability of picking red from 4 red, 5 blue, 3 green marbles:

a)

1/3

b)

1/4

c)

5/12

d)

7/12

23.

15 workers build a wall in 10 days. 25 workers take:

a)

6 days

b)

10 days

c)

15 days

d)

25 days

24.

Total legs from 15 cows and 25 chickens:

a)

110

b)

100

c)

120

d)

95

25.

Area of a 12 m × 8 m garden:

a)

96 m²

b)

20 m²

c)

48 m²

d)

100 m²

26.

Clock gains 5 minutes/hour. Total gain in 24 hours:

a)

120 min

b)

60 min

c)

100 min

d)

24 min

27.

Missing number: 1, 4, 9, 16, 25, __.

a)

36

b)

30

c)

32

d)

49

28.

If 3^a=81, then a=

a)

3

b)

4

c)

5

d)

6

29.

Solve 0.5 × (14 + 6 $\div$ 3).

a)

8

b)

10

c)

7

d)

9

30.

A number ×7 −15 = 41. The number is:

a)

8

b)

7

c)

9

d)

10

31.

Sum of even numbers between 1 and 21:

a)

110

b)

100

c)

105

d)

120

32.

Smallest 3-digit palindrome:

a)

100

b)

101

c)

111

d)

121

33.

If a/b=4 and a+b=25, then a= ? b= ?

a)

a=20, b=5

b)

a=10, b=15

c)

a=24, b=6

d)

16, b=4

34.

Bat + ball = 1.10. Bat cost $1 more. Ball costs:

a)

$0.05

b)

$0.10

c)

$1.00

d)

$0.15

35.

Snail climbs 3 m/day and slips 2 m/night. Days to climb 10 m:

a)

8

b)

10

c)

7

d)

9

36.

A positive number x has the property that x% of x is 4. What is x?

a)

2

b)

4

c)

10

d)

20

e)

40

37.

A tank can be filled by Pipe A in 4 hours and by Pipe B in 6 hours. How long will it take to fill the tank if both pipes are opened together?

a)

2 hours 24 minutes

b)

3 hours

c)

2 hours

d)

2.5 hours

38.

A car travels from A to B at 60 km/h and returns at 40 km/h. What is the average speed for the round trip?

a)

48 km/h

b)

50 km/h

c)

52 km/h

d)

55 km/h

39.

If 5 workers can complete a task in 12 days, how many days will it take for 8 workers to complete the same task, assuming equal efficiency?

a)

6

b)

7.5

c)

7

d)

6.5

40.

A sum of $10,000 is invested at a compound interest rate of 5% per annum. What will be the amount after 2 years? (rounded to the nearest dollar)

a)

$11,025

b)

$10,500

c)

$10,750

d)

$11,500

41.

Two trains start at the same time from cities A and B and travel toward each other. They meet in 4 hours. If one train travels at 60 km/h and the other at 90 km/h, what is the distance between A and B?

a)

480 km

b)

600 km

c)

540 km

d)

500 km

42.

A shopkeeper marks up a product by 25% and then offers a 20% discount. What is the overall percentage change in price from the cost price?

a)

0%

b)

5%

c)

4%

d)

2%

43.

A man can row 12 km downstream in 3 hours and the same distance upstream in 4 hours. What is the speed of the stream?

a)

1 km/h

b)

0.5 km/h

c)

2 km/h

d)

3 km/h

44.

The sum of the first n natural numbers is 210. What is the value of n?

a)

20

b)

21

c)

22

d)

19

45.

An investment triples in value over 10 years. What is the annual rate of growth (compounded annually)? (Approximate to nearest percent)

a)

10%

b)

12%

c)

11%

d)

9%

46.

A car depreciates at a rate of 20% per year. If its current value is $16,000, what will its value be after 3 years?

a)

$8192

b)

$9216

c)

$10240

d)

$9600

47.

A man invests part of 10,000at 6 % and the rest at 8%. If his total annual interest is 7.2%, how much is invested at 6%?

a)

$4000

b)

$5000

c)

$6000

d)

$7000

48.

If the population of a town increases by 10% annually, what will be the population after 2 years if the current population is 20,000?

a)

24200

b)

24000

c)

22000

d)

23100

49.

A student scores 85, 90, 78, and 92 in four subjects. What must they score in a fifth subject to have an average of 88?

a)

95

b)

90

c)

100

d)

85

50.

If the perimeter of a rectangle is 60 cm and its length is twice its width, what is the area of the rectangle?

a)

200

b)

150

c)

225

d)

250

51.

A and B can complete a job in 8 days. A alone can do it in 12 days. How many days would B take to complete it alone?

a)

16

b)

24

c)

18

d)

20

52.

A 20-liter mixture contains milk and water in the ratio 3:2. How much water must be added to make the ratio 3:4?

a)

5L

b)

6L

c)

8L

d)

7L

53.

A train 180 meters long crosses a platform 300 meters long in 36 seconds. Find the speed of the train in km/h.

a)

48

b)

72

c)

60

d)

54

54.

A merchant sells two items for $100 each. On one, he gains 25%; on the other, he loses 25%. Find the overall gain or loss.

a)

6.25% loss

b)

No loss

c)

6.25% gain

d)

5% loss

55.

The sum of the ages of a father and son is 60 years. Ten years ago, the father's age was 4 times the son's age. What is the father's current age?

a)

42

b)

44

c)

36

d)

38

56.

The difference between compound and simple interest on $1,000 for 2 years at 10% per annum is:

a)

$1

b)

$5

c)

$10

d)

$15

57.

When the integer n is squared, the result is less than 150. What is the sum of all possible values of n?

a)

0

b)

100

c)

150

d)

300

58.

What is the GCD of 108 and 144?

a)

12

b)

18

c)

36

d)

72

59.

A car travels 240 km at 60 km/h and another 300 km at 50 km/h. What is the average speed for the entire trip?

a)

54 km/h

b)

55 km/h

c)

56 km/h

d)

57 km/h

60.

The four positive integers P, Q, P + Q, and P-Q are all prime and their sum is S. What is the value of S?

a)

13

b)

17

c)

25

d)

23

Math 8y-9y

Total questions: 60

Worksheet time: 2hrs 1mins

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