Learner self-assessment

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Intermediate Quiz

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1 / 15

Category: Intermediate

What fraction is not equal to 0.5?

1/2

3/4

4/8

6/12

2 / 15

Category: Intermediate

A recipe that calls for 3/4 cup of sugar needs to be doubled. Which measuring cups could be used for the doubled amount?

1 cup and 1/4 cup

2 cups

1 cup and 1/2 cup

1/2 cup and 1/4 cup

3 / 15

Category: Intermediate

The teacher said her classroom was 5/8 full. What percent of the classroom was full?

58%

75%

62.5%

6.3%

4 / 15

Category: Intermediate

Which of the following is equal to 2 and 3/4 ?

5/4

11/4

11/3

4/11

5 / 15

Category: Intermediate

What is another way of writing for 9/4 ?

2 and 1/4

1 and 2/4

1 and 5/9

6 / 15

Category: Intermediate

Give the reciprocal of 2 and 2/3.

2 and 3/2

8/3

3/8

2/3

7 / 15

Category: Intermediate

What is the denominator of a whole number?

one

zero

It depends on the numerator.

Ten

8 / 15

Category: Intermediate

The following is a picture of what problem?

-5 -2 = -3

-5 + (-2) = -3

-5 + 2 = -3

5 -2 = 3

9 / 15

Category: Intermediate

The following is what kind of angle?

acute

obtuse

right

straight

10 / 15

Category: Intermediate

The following is what type of angle?

acute

obtuse

right

straight

11 / 15

Category: Intermediate

What is a possible measurement for angle A (the smaller angle)?

110 degrees

2 degrees

91 degrees

35 degrees

12 / 15

Category: Intermediate

Find the measure of the missing angle in the triangle.

13 / 15

Category: Intermediate

Find the measure of the missing angle in the triangle.

14 / 15

Category: Intermediate

At a shop, Amy has a choice of birthday balloons (bears or flowers) and her choice of ribbon colours (red, blue, or purple). Use the tree diagram to determine how many possible outcomes there are?

15 / 15

Category: Intermediate

List the single digit divisors of 1,344.

1, 2, 4, 6, 8

1, 2, 3, 4, 5, 6, 7, 8, 9

1, 2, 3, 4, 6, 8

1, 2, 3, 4, 6, 7, 8

Your score is

Grade 8 Quiz

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1 / 15

Category: Grade 8

2 x 0 x 1 x 4
2 + 0 + 1 + 4

2 / 15

Category: Grade 8

360 x 20 - 24 x 300 =

360

240

3 / 15

Category: Grade 8

Three normal dice are rolled. The probability that they all showed the same number is:

One out of 18

one out of 72

one out of 36

one out of 6

4 / 15

Category: Grade 8

If a = 2, b= −3 and c= 1.
Determine the value of: (a − b + c) (b − a)

−30

−24

5 / 15

Category: Grade 8

Consider: y = x²− 4x + 5:
Determine the value of y if x = ½

−2¾

3¼

6 / 15

Category: Grade 8

The value of 2³− 2² is:

7 / 15

Category: Grade 8

The value of x in 6x + 2 = 4x + 12:

8 / 15

Category: Grade 8

What is the value of (6)(-2) + (3)(5)? :

-27

-3

9 / 15

Category: Grade 8

The value of 4x3+0x6-2x6 is:

10 / 15

Category: Grade 8

A reflex angle is:

360°

0°>θ>90°

180°>θ>360°

90°>θ>180°

11 / 15

Category: Grade 8

Which of the following is a regular quadrilateral?

square

rectangle

rhombus

trapezium

12 / 15

Category: Grade 8

A four-sided figure has the following properties:
• Has a pair of opposite sides parallel.
• The sides that are not parallel are equal in length.
• Both angles coming from a parallel side are equal.
If the size of the bigger angles is 125°, what is the size of one of the smaller angles?

55°

110°

125°

250°

13 / 15

Category: Grade 8

A 3m ladder is rested against a 2m wall; the ladder touches the top of the wall. How far is the base of the ladder away from the wall?

√5m

13m

√13m

14 / 15

Category: Grade 8

Given the following dimensions, which one is a right-angled triangle?

a=2, b=3, c=4

a=1, b=3, c=5

a=9, b=12, c=15

a=2, b=7, c=10

15 / 15

Category: Grade 8

What is the range of the following data?
1, 2, 15, 39, 27, 8, 41

Your score is

Grade 9 Quiz

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1 / 11

Category: Grade 9

√16x¹⁶ =

8x⁸

8x⁴

4x⁸

4x⁴

2 / 11

Category: Grade 9

The LCM of 5a³ and 60a² is:

60a³

60a⁵

30a³

300a⁶

3 / 11

Category: Grade 9

The value of (⅔) ^-3 is:

-6⁄9

27⁄8

8⁄27

5⁄6

4 / 11

Category: Grade 9

000 000 207 in scientific notation is:

0.207 x 10^-6

20.7 x 10^-9

2.07 x 10^-7

207 x 10⁶

5 / 11

Category: Grade 9

15x²y³ + 9x²y³ 8x²y³

4x²y³

3x³y²

6 / 11

Category: Grade 9

The solutions of x in x²− 5x − 6:

−2 and −3

2 and −3

6 and −1

−6 and 1

7 / 11

Category: Grade 9

The next two values of the series 1, 8, 27 are:

64 and 125

54 and 108

36 and 45

81 and 243

8 / 11

Category: Grade 9

A triangle with an angle of 112º is an:

Right angled Triangle

Acute angle

Obtuse angled triangle

Obtuse angle

9 / 11

Category: Grade 9

240kg decreased by 15% is:

200kg

225kg

204kg

130kg

10 / 11

Category: Grade 9

How long should R4000 be invested at 3% per annum simple interest to earn an interest of R840:

10 Years

5 Years

9 Years

7 Years

11 / 11

Category: Grade 9

The four conditions for triangular congruency are:

SSS, SAS, AAA, RHS

SSS, SAS, RHS, AAS

SSS, AAA, RHS, SSA

SAS, AAA, RSS, HAA

Your score is

Grade 10 Quiz

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1 / 10

The distance between point A (2,8) and point B(3,5) is :

1 unit

√10 units

√5 units

3 units

2 / 10

The general term of the sequence 7, 11, 15, 19 is :

Tn = 7n + 4

Tn = 4n + 3

Tn = 3n + 4

Tn = 2n + 3

3 / 10

SIN²30 + COS²30 =

TAN²30

SIN²COS²30

4 / 10

If 8x^⅓ = 16. Then x =

5 / 10

The x- and y-asymptotes of y = ²⁄_x + 2:

x = 1 and y = 2

x =2 and y = 0

x= 2 and y = 2

x = 0 and y = 2

6 / 10

The x- and y-intercepts of y = x²- 8x + 16 are:

(0;16) and (4;0)

(-4;0) and (0;16)

(16;0) and (0;8)

(0;2) and (8;0)

7 / 10

Which of the following are the series of Fibonacci numbers?

0, 1, 1, 2, 3, 5, 8, 13, 21

1, 2, 4, 8, 16, 32, 64

2, 4, 9, 16, 25

0, 1, 2, 3, 4, 5, 6

8 / 10

Between which two integers is ³√29?

15 and 16

5 and 6

3 and 4

6 and 7

9 / 10

Which of the following is not a solution for 6 ≤ f?

10 / 10

√18 simplified is:

2√3

3√2

9√2

Your score is

Grade 11 Quiz

Read each question carefully and select the correct answer.

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1 / 8

Which of the following is a solution for the simultaneous equations
3x + y = 5
3x + 5y = 13

(3, 5)

(1, 2)

(0, 13⁄5)

(5 ,0)

2 / 8

i³ =

-1

-√-1

-1

3 / 8

The factors of 25p² + 20p + 4 are:

(5p + 4)(5p + 1)

(5p - 2)(5p + 2)

(5p + 2)²

(25p -2)(p + 2)

4 / 8

1 - sin²45º:

cos²45

-sin45º

5 / 8

What is the radius of the circle x² + y² - 36 = 0?

6 / 8

³√^125x6⁄_64y⁹in its simplest form is:

25x⁶/16y³

5x³/4y⁶

25x²/16y³

5x²/4y³

7 / 8

Simplify 16^^1/2:

8 / 8

(36 w)^½ =

36√w

36w²

6√w

Your score is

Grade 12 Quiz

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1 / 9

3 + 5 + 7 + 9 ... to 10 terms equals

100

120

119

2 / 9

log x =3 ; x =

10000

1000

111

3 / 9

What will the gradient of a line be that is perpendicular to a line y = 3x + 6?

3⁄6

- 1⁄3

1⁄3

- 1⁄2

4 / 9

Determine the angle of inclination of a line connected by (1; 6) and (-4: -4):

63,43º

33,69º

26,57º

56,31º

5 / 9

Complete: sin(A + B) =

sinAcosB + cosAsinB

sinAcosB - cosAsinB

cosAcosB + sinAsinB

cosAcosB - sinAsinB

6 / 9

Which one of the following identities does not equal cos2A:

cos²A - sin²A

1 - 2sin²A

2sinAcosA

2cos²A - 1

7 / 9

R10 000 is invested at an interest rate of 9.4% pa. Compounded annually.
The account grows to R22 315. For what period of time did the investment run?

7 years and 10 months

6 years and 8 months

8 years and 11 months

9 years and 1 month

8 / 9

A car to the value of R80 000 depreciates at a rate of 11% compounded annually.
What will its value be after 5 years?

R51 329.82

R39 967.98

R44 672.48

R58 421.24

9 / 9

Which rule is the area rule?

a² = b² + c² - 2bccosA

^sinA⁄a = ^sinB⁄b = ^sinC⁄c

ABC=1⁄2 absinC

CosB = a² + c² - b² + 2ac

Your score is

Important

The self-assessment is an initial screening tool and should not be regarded as a formal educational, psychological or medical diagnosis.

If your child's results indicate that additional support may be beneficial, we can discuss suitable options with you.

Learner self-assessment

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