# Mathematics Grade 10 P2 November Mock 2026 Memo (English)

> Grade 10 Mathematics Paper 2 memorandum from the November Mock Exam 2026 (English), 9 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/grade-10-mathematics-2026-november-mock-exam-memorandum-paper-2/ce3b0a71-94ab-4e5e-8316-cc54779fc61a
- Updated: 2026-10-29
- Subject: Mathematics
- Grade: Grade 10
- Language: English
- Document type: Memorandum
- Year: 2026
- Exam period: November Mock Exam
- Paper: 2
- Publisher: Hlayiso
- Curriculum: CAPS
- Pages: 9

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## About this document

Mathematics · Grade 10 · November Mock Exam · 2026 · English. Memorandum, 9 pages. Read online or download the PDF.

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### Page 1

hlayiso mock exams
                             Practice Series:
                             Grade 10 Exam Preparation
                             WWW.HLAYISO.COM

                                  NATIONAL
                             SENIOR CERTIFICATE

                                     GRADE 10

                                 MATHEMATICS P2
                     NOVEMBER EXAMINATION 2026 (MOCK)
                              MARKING GUIDELINES

  MARKS: 100

                       These marking guidelines consist of 9 pages.

Copyright reserved                                                    Please turn over

### Page 2

Mathematics/P2                                    2                                  Hlayiso/Mock 2026
                                        NSC – Marking Guidelines

NOTE:

    • If a candidate answers a question TWICE, only mark the FIRST attempt.
    • If a candidate has crossed out an attempt of a question and not redone the question, mark the
      crossed-out version.
    • Consistent accuracy (CA) applies in ALL aspects of the marking guidelines. Stop marking at the
      second calculation error.
    • Assuming answers/values in order to solve a problem is NOT acceptable.

GEOMETRY

   S A mark for a correct statement (a statement mark is independent of a reason).
   R A mark for the correct reason (a reason mark may only be awarded if the statement is correct).
 S/R Award a mark if the statement AND reason are both correct.

QUESTION 1

                     448
 1.1         x̄ =        = 29,87                                     ✓ 448
                      15
                                                                     ✓ answer                      (2)

 1.2         Minimum = 14; Q1 = 23; Median = 30; Q3 = 36;            ✓ min and max
             Maximum = 47                                            ✓ Q1 and Q3
                                                                     ✓ median                      (3)

 1.3                                                                 ✓ box with Q1 , median and
                                                                     Q3
                                                                     ✓ whiskers to 14 and 47 (2)
              10          20       30       40       50

 1.4         IQR = 36 − 23 = 13                                      ✓ answer                      (1)

                                                                                                   [8]

QUESTION 2

 2.1         20 ≤ t < 30                                             ✓ answer                      (1)

 2.2         Median is between the 20th and 21st values.             ✓ 20th/21st value or
             Cumulative frequencies: 4 ; 13 ; 27 ; . . .             cumulative frequencies
             Median class: 20 ≤ t < 30                               ✓ answer                      (2)

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### Page 3

Mathematics/P2                                 3                            Hlayiso/Mock 2026
                                     NSC – Marking Guidelines

 2.3         Midpoints: 5 ; 15 ; 25 ; 35 ; 45                   ✓ midpoints
                  4(5) + 9(15) + 14(25) + 8(35) + 5(45)         ✓ ∑ f x products
             x̄ =                                               ✓ 1 010 ÷ 40
                                    40
                 20 + 135 + 350 + 280 + 225 1 010               ✓ answer                    (4)
             =                               =
                             40                 40
             = 25,25 minutes

              8+5         13
 2.4              × 100 =    × 100 = 32,5%                      ✓ 13
               40         40
                                                                ✓ answer                    (2)

                                                                                            [9]

QUESTION 3

                 √
 3.1         AB = (2 − (−2))2 + (5 − 3)2                        ✓ substitution
              √        √       √
             = 16 + 4 = 20 = 2 5                                ✓ answer                    (2)

                     1 − 5 −4
 3.2         mBC =        =   = −2                              ✓ substitution
                     4−2    2
                                                                ✓ answer                    (2)

                     5−3     1
 3.3         mAB =         =                                    ✓ mAB = 12
                   2 − (−2) 2
                                                                ✓ product = −1              (2)
                         1
             mAB × mBC = × (−2) = −1
                         2
             ∴ AB ⊥ BC
                 (             )
               −2 + 4 3 + 1
 3.4         M       ;             = M(1 ; 2)                   ✓x=1
                 2      2
                                                                ✓y=2                        (2)

                       1−3       1
 3.5         mAC =            =−                                ✓ mAC = − 31
                     4 − (−2)    3
                                                                ✓ substitution of B
                       1                                        ✓ equation
             y − 5 = − (x − 2)                                                              (3)
                       3
                   1     17
             y = − x+
                   3      3
             OR 5 = − 13 (2) + c ⇒ c = 17
                                        3

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### Page 4

Mathematics/P2                                    4                             Hlayiso/Mock 2026
                                        NSC – Marking Guidelines

                  √                      √                                 √
 3.6         BC =   (4 − 2)2 + (1 − 5)2 = 20                        ✓ BC = 20
                           1                                        ✓ answer                    (2)
             Area △ABC = × AB × BC (AB ⊥ BC)
                           2
               1 √       √
             = × 20 × 20 = 10 square units
               2

 3.7         Diagonals of a square bisect each other, so M is the
             midpoint of BD:                                        ✓ xD = 0
             2 + xD                       5 + yD                    ✓ yD = −1                   (2)
                    = 1 ⇒ xD = 0;                = 2 ⇒ yD = −1
                2                            2
             D(0 ; −1)
             OR (translation B→C: x + 2, y − 4; apply to A)
             D(−2 + 2 ; 3 − 4)

                                                                                               [15]

QUESTION 4

 4.1.1       1,51                                                   ✓ answer                    (1)

                    2
 4.1.2       =           = 2,61                                     ✓ cos240◦
                 cos 40◦
                                                                    ✓ answer                    (2)

                     (√ ) 2   (√ )2
                2×
                1
                      3                                                       √
 4.2         = 1            +   2                                   ✓ 21 and ( 3)2
                  √ × √1
                   2    2                                           ✓ √12 × √12
                3
             = 21 + 2                                               ✓ sec2 45◦ = 2
                2
                                                                    ✓ answer                    (4)
             = 3+2 = 5

 4.3.1       cos θ = 0,65                                           ✓ cos θ = 0,65
             θ = 49,46◦                                             ✓ answer                    (2)

 4.3.2       2θ + 10◦ = 72,646 . . .◦                               ✓ 72,65◦
             2θ = 62,646 . . .◦                                     ✓ subtracting 10◦
             θ = 31,32◦                                             ✓ answer                    (3)

                                                                                               [12]

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### Page 5

Mathematics/P2                                     5                               Hlayiso/Mock 2026
                                         NSC – Marking Guidelines

QUESTION 5

                          12
 5.1         tan β = −       ; β in the 2nd quadrant: x = −5, y = 12   ✓ x = −5 and y = 12 in
                           5
                                                                       correct quadrant
                                 y

              (−5 ; 12)

                               13                                      ✓ r = 13
                                                                       ✓ answer                    (3)

                                     β
                                         x

             r2 = (−5)2 + 122 = 169          r = 13
                     12
             sin β =
                     13
                (      ) ( )2
                    5 2     12
 5.2         = −         −                                             ✓ substitution
                    13      13
                                                                       ✓ answer                    (2)
                 25    144    119
             =      −      =−
                169 169       169
              13 12
 5.3         =   ×                                                     ✓ sec β = − 13
              −5 13                                                                 5
                                                                       ✓ answer                    (2)
                12
             =−
                5

                                                                                                   [7]

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### Page 6

Mathematics/P2                                        6                                           Hlayiso/Mock 2026
                                            NSC – Marking Guidelines

QUESTION 6

 6.1                 y                                                               f:
                                                                                     ✓ x-intercepts / end points
                         (90◦ ; 2)
                 2                                                      (360◦ ; 2)   ✓ turning points
                                                                                     ✓ shape
                                                                 g
                 1                                                                   g:
                                                                                     ✓ y-intercept and end points
                                                                            x        (0◦ ; 2), (360◦ ; 2)
                           90◦           180◦         270◦           360◦
                                                                                     ✓ minimum (180◦ ; 0)
              −1                                             f                       ✓ shape                     (6)

              −2
                                                   (270◦ ; −2)

             f (solid): x-intercepts 0◦ , 180◦ , 360◦ ; TPs (90◦ ; 2),
             (270◦ ; −2).
             g (dashed): (0◦ ; 2), minimum (180◦ ; 0), end point
             (360◦ ; 2).

 6.2         360◦                                                                    ✓ answer                    (1)

 6.3         2                                                                       ✓ answer                    (1)

 6.4         0 ≤ y ≤ 2 OR            y ∈ [0 ; 2]                                     ✓ critical values
                                                                                     ✓ notation                  (2)

 6.5         53,13◦ ≤ x ≤ 180◦                                                       ✓ critical values
                                                                                     ✓ notation                  (2)

                                                                                                                [12]

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### Page 7

Mathematics/P2                                 7                            Hlayiso/Mock 2026
                                     NSC – Marking Guidelines

QUESTION 7

                      TB
 7.1         tan 38◦ =                                          ✓ correct ratio
                       50
                                                                ✓ TB = 50 tan 38◦
             TB = 50 tan 38◦
                                                                ✓ answer                     (3)
             TB = 39,06 m

                       50
 7.2         cos 38◦ =                                          ✓ correct ratio
                      TA
                    50                                          ✓ answer                     (2)
             TA =        ◦
                           = 63,45 m
                  cos 38
                      √
             OR TA = 502 + 39,062 = 63,45 m

                       TB
 7.3         tan 24◦ =                                          ✓ correct ratio
                       CB
                                                                ✓ CB as subject
                    39,06
             CB =                                               ✓ CB = 87,74
                   tan 24◦
             CB = 87,74 m                                       ✓ answer                     (4)
             AC = 87,74 − 50 = 37,74 m
             Accept 37,73 m – 37,75 m (rounding).

                                                                                             [9]

QUESTION 8

 8.1         V = π (1,2)2 (2,5)                                 ✓ substitution
             V = 11,31 m3                                       ✓ answer                     (2)

 8.2         TSA = 2π (1,2)2 + 2π (1,2)(2,5)                    ✓ substitution
             = 9,05 + 18,85
             = 27,90 m2                                         ✓ answer                     (2)

                            ( )
                               h             h                           ( )
 8.3         Vnew    = π (2r)2    = π . 4r2 . = 2π r2 h         ✓ π (2r)2 h2
                               2             2
                                                                ✓ volume doubles             (2)
             The volume is doubled.
             (Vnew = π (2,4)2 (1,25) = 22,62 m3 = 2 × 11,31)

                                                                                             [6]

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### Page 8

Mathematics/P2                                   8                                    Hlayiso/Mock 2026
                                       NSC – Marking Guidelines

QUESTION 9

 9.1         In △PTS and △RUQ:
             PS = RQ                              (opp sides of parm)    ✓S ✓R
             PŜT = RQ̂U                            (alt ∠s; PS ∥ QR)    ✓S ✓R
             PT̂S = RÛQ = 90◦                                 (given)
             ∴ △PTS ≡ △RUQ                               (∠∠S / AAS)     ✓ 90◦ and conclusion with
                                                                         reason                   (5)

 9.2         PT = RU                                     (≡ △s)          ✓ S/R
             PT ∥ RU                  (both ⊥ QS / alt ∠s = 90◦ )        ✓ S/R
             ∴ PTRU is a parallelogram (one pair of opp sides =          ✓R                         (3)
             and ∥)

                                                                                                    [8]

QUESTION 10

 10.1.1      Midpoint theorem: the line joining the midpoints of         ✓R                         (1)
             two sides of a triangle is parallel to the third side.

                    1
 10.1.2      DE = BC                              (midpoint theorem)     ✓ S/R
                    2
                      1                                                  ✓ equation
             3x − 2 = (4x + 6)
                      2
             3x − 2 = 2x + 3                                             ✓ answer                   (3)
             x=5

 10.1.3      Ĉ = 180◦ − 50◦ − 70◦ = 60◦            (sum of ∠s of △)     ✓S ✓R
             AÊD = Ĉ = 60◦                  (corresp ∠s; DE ∥ BC)      ✓ S/R                      (3)

 10.2.1      BÂD = 180◦ − 116◦ = 64◦          (co-int ∠s; AD ∥ BC)      ✓S ✓R                      (2)

                    1
 10.2.2      BÂC = (64◦ ) = 32◦      (diag of rhombus bisects ∠)        ✓S ✓R                      (2)
                    2
             OR AB = BC (sides of rhombus);
                              ◦     ◦
             BÂC = BĈA = 180 −116
                                2     = 32◦ (∠s opp = sides)

 10.2.3      AÔB = 90◦                        (diags of rhombus ⊥)      ✓ S/R                      (1)

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### Page 9

Mathematics/P2                                9                            Hlayiso/Mock 2026
                                    NSC – Marking Guidelines

                   1
 10.2.4      AB̂D = (116◦ ) = 58◦    (diag of rhombus bisects ∠)   ✓S ✓R                (2)
                   2
             OR 180◦ − 90◦ − 32◦ = 58◦ (sum of ∠s of △AOB)

                                                                                      [14]

                                                                            TOTAL:      100

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